Elementary gates for quantum computation

Abstract

We show that a set of gates that consists of all one-bit quantum gates (U(2)) and the two-bit exclusive-or gate (that maps Boolean values $(x,y)$ to $(x,x\oplus y)$) is universal in the sense that all unitary operations on arbitrarily many bits $n$ (U($2^n$)) can be expressed as compositions of these gates. We investigate the number of the above gates required to implement other gates, such as generalized Deutsch-Toffoli gates, that apply a specific U(2) transformation to one input bit if and only if the logical AND of all remaining input bits is satisfied. These gates play a central role in many proposed constructions of quantum computational networks. We derive upper and lower bounds on the exact number of elementary gates required to build up a variety of two-and three-bit quantum gates, the asymptotic number required for $n$-bit Deutsch-Toffoli gates, and make some observations about the number required for arbitrary $n$-bit unitary operations.

31 pages, plain latex, no separate figures, submitted to Phys. Rev. A. Related information on http://vesta.physics.ucla.edu:7777/

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• Efficient realization of quantum algorithms with qudits
• Structure identification and state initialization of spin networks with limited access
• A comparative study on heat capacity, magnetization and magnetic susceptibility for a GaAs quantum dot with asymmetric confinement
• Quantum-Enhanced Greedy Combinatorial Optimization Solver
• Generating a state $t$-design by diagonal quantum circuits
• Approximating many-body quantum states with quantum circuits and measurements
• A scalable quantum computer with an ultranarrow optical transition of ultracold neutral atoms in an optical lattice
• Efficient construction of three- and four-qubit quantum gates by global entangling gates
• Parallelising the Queries in Bucket Brigade Quantum RAM
• Synthesis of Reversible Functions Beyond Gate Count and Quantum Cost
• Nonadiabatic holonomic multiqubit controlled gates
• Strictly contractive quantum channels and physically realizable quantum computers
• Efficiency of Producing Random Unitary Matrices with Quantum Circuits
• Quantum Logical Operations on Encoded Qubits
• Optimal (controlled) quantum state preparation and improved unitary synthesis by quantum circuits with any number of ancillary qubits
• Testing integrability with a single bit of quantum information
• The Efficient Preparation of Normal Distributions in Quantum Registers
• Double sparse quantum state preparation
• Quantum Resources Required to Block-Encode a Matrix of Classical Data
• Quantum Algorithm for Higher-Order Unconstrained Binary Optimization and MIMO Maximum Likelihood Detection
• Models of quantum computation and quantum programming languages
• Quantum interface between an electrical circuit and a single atom
• Random circuit block-encoded matrix and a proposal of quantum LINPACK benchmark
• Universality of single qudit gates
• Non-IID Quantum Federated Learning with One-shot Communication Complexity
• Constructive Quantum Shannon Decomposition from Cartan Involutions
• A distributed simulation framework for quantum networks and channels
• One-photon Solutions to Multiqubit Multimode quantum Rabi model
• Circuit Complexity as a novel probe of Quantum Entanglement: A study with Black Hole Gas in arbitrary dimensions
• Fault Tolerant Quantum Computation with Constant Error
• FABLE: Fast Approximate Quantum Circuits for Block-Encodings
• Compiling gate networks on an Ising quantum computer
• All-Electrical Quantum Computation with Mobile Spin Qubits
• Grover search revisited; application to image pattern matching
• Self-error-corrected hyperparallel photonic quantum computation working with both the polarization and the spatial-mode degrees of freedom
• Effects of noise on quantum error correction algorithms
• Power of Anisotropic Exchange Interactions: Universality and Efficient Codes for Quantum Computing
• Approximate Quantum Circuit Synthesis using Block-Encodings
• Generation and detection of bound entanglement
• Quantum Logic with a Single Trapped Electron
• Full-quantum light diode
• No-go Theorem for One-way Quantum Computing on Naturally Occurring Two-level Systems
• Solid-State Quantum Computer Based on Scanning Tunneling Microscopy
• Quantum Circuits for Quantum Channels
• Quantum circuit for the fast Fourier transform
• Matchgate and space-bounded quantum computations are equivalent
• Quantum Differentially Private Sparse Regression Learning
• Linear-optical programmable quantum router
• Algorithm for the solution of the Dirac equation on digital quantum computers
• Synthesizing five-body interaction in a superconducting quantum circuit
• How many CNOT gates does it take to generate a three-qubit state ?
• An $\Theta (\sqrt{n})$-depth Quantum Adder on a 2D NTC Quantum Computer Architecture
• Grover's Algorithm: Quantum Database Search
• A universal set of qubit quantum channels
• Shorter quantum circuits via single-qubit gate approximation
• Quantum phase transitions for an integrable quantum Rabi-like model with two interacting qubits
• Geometric Aspects of Composite Pulses
• Categorical Quantum Circuits
• Universal quantum multi-qubit entangling gates with auxiliary spaces
• Realization of a General Three-Qubit Quantum Gate
• Measurement-Based Quantum Computation
• Quantum-Classical Complexity-Security Tradeoff In Secure Multi-Party Computation
• A hybrid classical-quantum workflow for natural language processing
• Cartan Decomposition of SU(2^n), Constructive Controllability of Spin systems and Universal Quantum Computing
• Exchange Gate on the Qudit Space and Fock Space
• Wigner process tomography: Visualization of spin propagators and their spinor properties
• Prospect of using Grover's search in the noisy-intermediate-scale quantum-computer era
• Implementing universal multi-qubit quantum logic gates in three and four-spin systems at room temperature
• Quantum computing with spin qubits in semiconductor structures
• Quantum simulations with complex geometries and synthetic gauge fields in a trapped ion chain
• Energetic Suppression of Decoherence in Exchange-Only Quantum Computation
• Nonlinear dynamics as a ground-state solution on quantum computers
• Generation of quantum logic operations from physical Hamiltonians
• Imperfection effects for multiple applications of the quantum wavelet transform
• Quantum computation by quantum-like systems
• Tracking the dynamics of an ideal quantum measurement
• Optimal mirror phase-covariant cloning
• Preparation of $km$-photon concatenated GHZ states for observing distinct quantum effects at macroscopic scale
• Quantum Circuits: Fanout, Parity, and Counting
• Guaranteed recovery of quantum processes from few measurements
• Superconducting qubit network with controllable nearest neighbor coupling
• Quantum Searching via Entanglement and Partial Diffusion
• NMR Quantum Calculations of the Jones Polynomial
• Quantum circuit design for accurate simulation of qudit channels
• Linear and logarithmic time compositions of quantum many-body operators
• Exact gate decompositions for photonic quantum computing
• Optimising the Solovay-Kitaev algorithm
• Combinatorial Optimization on Gate Model Quantum Computers: A Survey
• Quantum Search Algorithm with more Reliable Behaviour using Partial Diffusion
• Asymptotically Improved Circuit for $d$-ary Grover's Algorithm with Advanced Decomposition of $n$-qudit Toffoli Gate
• Efficient Synthesis of Linear Reversible Circuits
• The block-ZXZ synthesis of an arbitrary quantum circuit
• Speedup of quantum state transfer by three- qubit interactions: Implementation by nuclear magnetic resonance
• Natural three-qubit interactions in one-way quantum computing
• Hamilton's turns as visual tool-kit for designing of single-qubit unitary gates
• Towards Quantum Computational Mechanics
• Cutting multi-control quantum gates with ZX calculus
• All-electrical control of hole singlet-triplet spin qubits at low leakage points
• Quantum Computing in a Macroscopic Dark Period
• Exchange-Free Computation on an Unknown Qubit at a Distance
• Experimental implementation of non-Clifford interleaved randomized benchmarking with a controlled-S gate
• Depth-Optimal Quantum Circuit Placement for Arbitrary Topologies
• Quantum Kitchen Sinks: An algorithm for machine learning on near-term quantum computers
• Superdiffusive quantum stochastic walk definable of arbitrary directed graph
• Efficient simulation of sparse Markovian quantum dynamics
• What is a quantum computer, and how do we build one?
• Quantum control limited by quantum decoherence
• Realization of a collective decoding of codeword states
• Controlled-Controlled-Phase Gates for Superconducting Qubits Mediated by a Shared Tunable Coupler
• Many-qubit network employing cavity QED in a decoherence-free subspace
• An Algebraic Quantum Circuit Compression Algorithm for Hamiltonian Simulation
• Universal programmable photonic architecture for quantum information processing
• Qudits for decomposing multiqubit gates and realizing quantum algorithms
• Counterfactual Statements and Weak Measurements: an Experimental Proposal
• Quantum gates with topological phases
• Unitary transformations can be identified locally
• Lectures on Quantum Tensor Networks
• Super-statistical description of thermo-magnetic properties of a system of 2D GaAs quantum dots with gaussian confinement and Rashba spin-orbit interaction
• Path-optimized nonadiabatic geometric quantum computation on superconducting qubits
• Cavity QED and Quantum Computation in the Weak Coupling Regime
• Analytical Framework for Quantum Alternating Operator Ansätze
• Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
• Additivity of decoherence measures for multiqubit quantum systems
• Temporal Interferometry: A Mechanism for Controlling Qubit Transitions During Twisted Rapid Passage with Possible Application to Quantum Computing
• Number-Theoretic Characterizations of Some Restricted Clifford+T Circuits
• Prediction of the neutron drip line in oxygen isotopes using quantum computation
• Self-Testing of Universal and Fault-Tolerant Sets of Quantum Gates
• Quantum walks on Cayley graphs
• Single Shot i-Toffoli Gate in Dispersively Coupled Superconducting Qubits
• Implementation of quantum gates and preparation of entangled states in cavity QED with cold trapped ions
• Universal Dephasing Control During Quantum Computation
• Preparing Valence-Bond-Solid states on noisy intermediate-scale quantum computers
• Quantum mechanics of lattice gas automata. II. Boundary conditions and other inhomogeneities
• Quantum computation with quasiparticles of the Fractional Quantum Hall Effect
• K-Means Clustering on Noisy Intermediate Scale Quantum Computers
• Bosonic field digitization for quantum computers
• A Grover search-based algorithm for the list coloring problem
• Experimental characterization of universal one-way quantum computing
• Composite Toffoli gate with two-round error detection
• Quantum Computation with Topological Codes: from qubit to topological fault-tolerance
• Implementation of a general single-qubit positive operator-valued measure on a circuit-based quantum computer
• Nonlocal and controlled unitary operators of Schmidt rank three
• Continuous dynamical decoupling of optical ${}^{171}$Yb${}^{+}$ qudits with radiofrequency fields
• Universal Parity Quantum Computing
• Quantum Computation and Spin Physics
• Universal resources for approximate and stochastic measurement-based quantum computation
• Vacuum induced Stark shifts for quantum logic using a collective system in a high quality dispersive cavity
• New techniques for fault-tolerant decomposition of Multi-Controlled Toffoli gate
• Valley two-qubit system in a MoS${}_2$-monolayer gated double quantum dot
• Implementation of a generalized CNOT gate between fixed-frequency transmons
• Scalable quantum search using trapped ions
• Three-Qubit Gate Realization Using Single Quantum Particle
• Efficient quantum pseudorandomness with simple graph states
• A switchable controlled-NOT gate in a spin-chain NMR quantum computer
• Reversible addition circuit using one ancillary bit with application to quantum computing
• Quantum state preparation by adiabatic evolution with customized gates
• Automatically Differentiable Quantum Circuit for Many-qubit State Preparation
• Efficient variational synthesis of quantum circuits with coherent multi-start optimization
• Primitive Quantum Gates for an SU(3) Discrete Subgroup: $\Sigma (36\times 3)$
• Optimal synthesis of multivalued quantum circuit
• Thermal Equilibrium as an Initial State for Quantum Computation by NMR
• Exact and approximate continuous-variable gate decompositions
• A Geometric Algebra Perspective On Quantum Computational Gates And Universality In Quantum Computing
• Quantum state manipulation of trapped atomic ions
• Applications of Coherent Population Transfer to Quantum Information Processing
• A Spin-Optical Quantum Computing Architecture
• Decision Diagrams for Quantum Computing
• Single-step implementation of a hybrid controlled-NOT gate with one superconducting qubit simultaneously controlling multiple target cat-state qubits
• Representation of binary classification trees with binary features by quantum circuits
• Quantum Logic Network for Probabilistic Teleportation of Two-Particle State of General Form
• Quantum Process Tomography of a Molmer-Sorensen Interaction
• Constant-cost implementations of Clifford operations and multiply controlled gates using global interactions
• Quantum Information Processing by Weaving Quantum Talbot Carpets
• Demonstrating NISQ Era Challenges in Algorithm Design on IBM's 20 Qubit Quantum Computer
• Implementation of generalized quantum measurements: superadditive quantum coding, accessible information extraction, and classical capacity limit
• Optimal Trotterization in universal quantum simulators under faulty control
• Subdivided Phase Oracle for NISQ Search Algorithms
• Efficient and scalable quantum walk algorithms via the quantum Fourier transform
• Perspectives for a mixed two-qubit system with binomial quantum states
• One-way quantum computing in superconducting circuits
• A Comparison of Quantum Walk Implementations on NISQ Computers
• Quantum teleportation of electrons in quantum wires with surface acoustic waves
• Information processing at the speed of light
• Quantifying non-stabilizerness via information scrambling
• Theory of Spin Relaxation in Two-Electron Lateral Coupled Si/SiGe Quantum Dots
• Scalable programmable quantum gates and a new aspect of the additivity problem for the classical capacity of quantum channels
• Verifying the Smallest Interesting Colour Code with Quantomatic
• Spintronics and Quantum Computing: Switching Mechanisms for Qubits
• Numerical analysis of quantum circuits for state preparation and unitary operator synthesis
• Implementation of group-covariant POVMs by orthogonal measurements
• Orchestrated Trios: Compiling for Efficient Communication in Quantum Programs with 3-Qubit Gates
• Encoded Universality for Generalized Anisotropic Exchange Hamiltonians
• Quantum Circuit Identities
• Modularization of multi-qubit controlled phase gate and its NMR implementation
• Realization of a deterministic quantum Toffoli gate with a single photon
• Effective boson-spin model for nuclei ensemble based universal quantum memory
• Implementing Shor's algorithm on Josephson Charge Qubits
• Compact Toffoli gate using weighted graph states
• Quantum Algorithm for Simulating Hamiltonian Dynamics with an Off-diagonal Series Expansion
• Rapid solution of problems by nuclear-magnetic-resonance quantum computation
• Compact quantum kernel-based binary classifier
• Compiling Quantum Circuits using the Palindrome Transform
• CMOS Quantum Computing: Toward A Quantum Computer System-on-Chip
• Nanometre-scale nuclear-spin device for quantum information processing
• Design of a Quantum-Repeater using Quantum-Circuits and benchmarking its performance on an IBM Quantum-Computer
• Synthesis of Ternary Quantum Logic Circuits by Decomposition
• Quantum cost of dense coding and teleportation
• Shallow unitary decompositions of quantum Fredkin and Toffoli gates for connectivity-aware equivalent circuit averaging
• Polylogarithmic-depth controlled-NOT gates without ancilla qubits
• Introduction to Quantum Information Processing
• Proving Quantum Programs Correct
• Optimization of CNOT circuits on limited connectivity architecture
• Approximate encoding of quantum states using shallow circuits
• Synthesizing efficient circuits for Hamiltonian simulation
• A scheme for tunable quantum phase gate and effective preparation of graph-state entanglement
• All unitaries having operator Schmidt rank 2 are controlled unitaries
• Parallel entangling gate operations and two-way quantum communication in spin chains
• Quantum Computing
• Long-Range Interaction between Charge and Spin Qubits in Quantum Dots
• HamLib: A library of Hamiltonians for benchmarking quantum algorithms and hardware
• A Quick Glance at Quantum Cryptography
• Ancilla-based quantum simulation
• Entangling characterization of (SWAP)1/m and Controlled unitary gates
• Study of Decoherence in Quantum Computers: A Circuit-Design Perspective
• Synthesis of Linear Nearest Neighbor Quantum Circuits
• Quantum Entanglement and Quantum Computational Algorithms
• Short-depth circuits for efficient expectation value estimation
• Quantum Gaussian process regression
• Quantum Signal Processing for simulating cold plasma waves
• Quantum Monte Carlo for Economics: Stress Testing and Macroeconomic Deep Learning
• Characterizing the geometrical edges of nonlocal two-qubit gates
• Exchange coupling in semiconductor nanostructures: Validity and limitations of the Heitler-London approach
• Quantum search on noisy intermediate-scale quantum devices
• Universal quantum computing with qubits embedded in trapped-ion qudits
• Optimization of the resonator-induced phase gate for superconducting qubits
• Towards optimization of quantum circuits
• Hybrid benchmarking of arbitrary quantum gates
• Realizing probabilistic identification and cloning of quantum states via universal quantum logic gates
• Quantum circuit synthesis using Householder transformations
• Quantum gates by inverse engineering of a Hamiltonian
• Efficient and fail-safe quantum algorithm for the transport equation
• Quantum Process Capability
• On the Schmidt-rank-three bipartite and multipartite unitary operator
• Mimicking Time Evolution within a Quantum Ground State: Ground-State Quantum Computation, Cloning, and Teleportation
• Spatial, spin, and charge symmetry projections for a Fermi-Hubbard model on a quantum computer
• A Finite Presentation of CNOT-Dihedral Operators
• Automated Method for Building CNOT Based Quantum Circuits for Boolean Functions
• CNOT gate by adiabatic passage with an optical cavity
• Magic State Distillation and Gate Compilation in Quantum Algorithms for Quantum Chemistry
• Quantum algorithm for universal implementation of projective measurement of energy
• Experimental implementation of optimal linear-optical controlled-unitary gates
• Universal Control of Ion Qubits in a Scalable Microfabricated Planar Trap
• Two-Qubit Geometric Phase Gate for Quantum Dot Spins using Cavity Polariton Resonance
• Efficient Simulation of Loop Quantum Gravity -- A Scalable Linear-Optical Approach
• Quantum gate using qubit states separated by terahertz
• Quantum-classical eigensolver using multiscale entanglement renormalization
• A comparative study of universal quantum computing models: towards a physical unification
• Quantum Local Search with the Quantum Alternating Operator Ansatz
• Pulse-engineered Controlled-V gate and its applications on superconducting quantum device
• Spin Qubits in Multi-Electron Quantum Dots
• Compilation of algorithm-specific graph states for quantum circuits
• Quantum simulations of a qubit of space
• Generalized Toffoli gate decomposition using ququints: Towards realizing Grover's algorithm with qudits
• Programmable two-qubit gates in capacitively coupled flopping-mode spin qubits
• Classical simulation of quantum circuits by half Gauss sums
• Multiplex-controlled phase gate with qubits distributed in a multi-cavity system
• Efficient experimental design of high-fidelity three-qubit quantum gates via genetic programming
• Quantum circuits for the preparation of spin eigenfunctions on quantum computers
• Towards multiqudit quantum processor based on a ${}^{171}$Yb${}^{+}$ ion string: Realizing basic quantum algorithms
• Compact quantum algorithms for time-dependent differential equations
• Measuring the Entanglement between Double Quantum Dot Charge Qubits
• Quantum algorithms for the generalized eigenvalue problem
• Universal set of scalable dynamically corrected gates for quantum error correction with always-on qubit couplings
• A prototype of quantum von Neumann architecture
• Shor's quantum algorithm using electrons in semiconductor nanostructures
• Cavity QED and Quantum Computation in the Weak Coupling Regime II : Complete Construction of the Controlled-Controlled NOT Gate
• Compressed Simulation of evolutions of the XY-model
• Performance of Superconducting Quantum Computing Chips under Different Architecture Design
• Enhancing Quantum Computation via Superposition of Quantum Gates
• Logic Synthesis for Quantum Computing
• One-step implementation of a multi-target-qubit controlled-phase gate with photonic qubits encoded via eigenstates of the photon-number parity operator
• A Schematic Definition of Quantum Polynomial Time Computability
• Formation of Multipartite Entanglement Using Random Quantum Gates
• High-Round QAOA for MAX $k$-SAT on Trapped Ion NISQ Devices
• Qibolab: an open-source hybrid quantum operating system
• Perfect Computational Equivalence between Quantum Turing Machines and Finitely Generated Uniform Quantum Circuit Families
• Fault-tolerant gates via homological product codes
• Quantum lattice gas algorithmic representation of gauge field theory
• Quantum Information Transfer between a Two-Level and a Four-Level Quantum System
• Towards Perturbation Theory Methods on a Quantum Computer
• Suppressing Correlated Noise in Quantum Computers via Context-Aware Compiling
• On the role of entanglement in qudit-based circuit compression
• Quantum-classical algorithms for skewed linear systems with optimized Hadamard test
• Jordan C*-Algebras and Supergravity
• Scalable Qubit Representations of Neutrino Mixing Matrices
• Molecular Ensemble Based Remote Quantum Storage for Charge Qubit via Quasi-Dark State
• Decoherence assisting a measurement-driven quantum evolution process
• Quantum Gradient Algorithm for General Polynomials
• Explicit Form of the Evolution Operator of Tavis-Cummings Model : Three and Four Atoms Cases
• Efficient implementation of discrete-time quantum walks on quantum computers
• Encoding trade-offs and design toolkits in quantum algorithms for discrete optimization: coloring, routing, scheduling, and other problems
• Quantum algorithm for the advection-diffusion equation and the Koopman-von Neumann approach to nonlinear dynamical systems
• Scalable estimation of pure multi-qubit states
• Engineering topological states and quantum-inspired information processing using classical circuits
• Quantum brachistochrone problem for two spins-1/2 with anisotropic Heisenberg interaction
• Introduction to UniversalQCompiler
• Logic Synthesis for Fault-Tolerant Quantum Computers
• Adiabatic two-photon quantum gate operations using a long-range photonic bus
• Minimal and Robust Composite Two-Qubit Gates with Ising-Type Interaction
• Random circuits by measurements on weighted graph states
• Gutzwiller wave function on a quantum computer using a discrete Hubbard-Stratonovich transformation
• The Classification of Clifford Gates over Qubits
• Engineering Functional Quantum Algorithms
• Holographic Software for Quantum Networks
• Quantum Circuit Evolution on NISQ Devices
• Dynamic Cooling on Contemporary Quantum Computers
• Linear optics implementation of general two-photon projective measurement
• Quantum gradient descent algorithms for nonequilibrium steady states and linear algebraic systems
• Efficient Quantum Algorithm for All Quantum Wavelet Transforms
• Motional effects of single trapped atomic/ionic qubit
• Preparation of Knill-Laflamme-Milburn states using tunable controlled phase gate
• Exponentially faster implementations of Select(H) for fermionic Hamiltonians
• Mediated gates between spin qubits
• Controlling NMR spin systems for quantum computation
• Interaction-free quantum computation
• Inverted Singlet-Triplet Qubit Coded on a Two-Electron Double Quantum Dot
• Finite temperature quantum simulation of stabilizer Hamiltonians
• Fault-tolerant Coding for Quantum Communication
• Resource Optimized Quantum Architectures for Surface Code Implementations of Magic-State Distillation
• Cellular Structures for Computation in the Quantum Regime
• A quantum algorithm for the direct estimation of the steady state of open quantum systems
• Optimal Ancilla-free Pauli+V Circuits for Axial Rotations
• Tomography of time-dependent quantum spin networks with machine learning
• An analysis of reversible multiplier circuits
• Few-body spin couplings and their implications for universal quantum computation
• Rotational Abstractions for Verification of Quantum Fourier Transform Circuits
• Controlled phase gate for solid-state charge qubits
• An efficient quantum circuits optimizing scheme compared with QISKit
• Geometric quantum gates via dark paths in Rydberg atoms
• Hardware-Conscious Optimization of the Quantum Toffoli Gate
• Addendum to "Single photon logic gates using minimum resources"
• Implementation of three-qubit Toffoli gate in a single step
• Qcompiler: quantum compilation with CSD method
• Combinatorial Optimization with Quantum Computers
• A simple trapped-ion architecture for high-fidelity Toffoli gates
• Distributed Quantum Machine Learning
• Universal control of quantum processes using sector-preserving channels
• Benchmarking quantum gates and circuits
• Fast Black-Box Quantum State Preparation Based on Linear Combination of Unitaries
• Efficient realization of quantum primitives for Shor's algorithm using PennyLane library
• Dancing the Quantum Waltz: Compiling Three-Qubit Gates on Four Level Architectures
• Universal quantum computation by the unitary control of ancilla qubits and using a fixed ancilla-register interaction
• Using Reinforcement Learning to find Efficient Qubit Routing Policies for Deployment in Near-term Quantum Computers
• Non-Adiabatic Universal Holonomic Quantum Gates Based on Abelian Holonomies
• Analysis of a continuous-variable quadripartite cluster state from a single optical parametric oscillator
• Tools for Quantum Algorithms
• Machine-learning based three-qubit gate for realization of a Toffoli gate with cQED-based transmon systems
• A quantum phase gate implementation for trapped ions in thermal motion
• Non-Unitary Quantum Machine Learning
• Non-holonomic Quantum Devices
• Digital-analog quantum simulation of fermionic models
• Entanglement and quantum state geometry of spin system with all-range Ising-type interaction
• A Complete Equational Theory for Quantum Circuits
• Storing unitary operators in quantum states
• An Introduction to Quantum Computing for Non-Physicists
• Continuous quantum gate sets and pulse class meta-optimization
• Quantum Correlations, Local Interactions and Error Correction
• A Cat-State Benchmark on a Seven Bit Quantum Computer
• Automatic Depth-Optimized Quantum Circuit Synthesis for Diagonal Unitary Matrices with Asymptotically Optimal Gate Count
• Compressed quantum metrology for the Ising Hamiltonian
• Universal topological quantum computation with strongly correlated Majorana edge modes
• Highly optimized quantum circuits synthesized via data-flow engines
• Realization of Universal Quantum Gates with Spin-Qudits in Colloidal Quantum Dots
• Quantum Search Approaches to Sampling-Based Motion Planning
• Encoding classical data into a quantum computer
• Recommendation systems with quantum k-NN and Grover's algorithms for data processing
• Coherent Control of Trapped Ion Qubits with Localized Electric Fields
• Fundamental limitations for measurements in quantum many-body systems
• Hybrid Quantum Computation
• Universal quantum computation with two- and three-qubit projective measurements
• On the distribution of entanglement changes produced by unitary operations
• Implementations of more general solid-state (SWAP)${}^{1/m}$ and controlled-(swap)${}^{1/m}$ gates
• Optimizing Teleportation Cost in Distributed Quantum Circuits
• A proposal for the implementation of quantum gates in an optomechanical system via phonon blockade
• Quantum computing with four-particle decoherence-free states in ion trap
• Experimental Demonstration of a Quantum Controlled-SWAP Gate with Multiple Degrees of Freedom of a Single Photon
• Quantum computation in semiconductor quantum dots of electron-spin asymmetric anisotropic exchange
• A graph theoretical approach to states and unitary operations
• Complexity Analysis of Reversible Logic Synthesis
• 'Algorithmic cooling' in a momentum state quantum computer
• Quantum Fourier Addition, Simplified to Toffoli Addition
• Optimizing Gate Decomposition for High-Level Quantum Programming
• Applications of Universal Parity Quantum Computation
• Scalable improvement of the generalized Toffoli gate realization using trapped-ion-based qutrits
• Sharp Quantum vs. Classical Query Complexity Separations
• Finding solutions to the integer case constraint satisfiability problem using Grover's algorithm
• Ion-trap quantum information processing: experimental status
• Double symmetry breaking and 2D quantum phase diagram in spin-boson systems
• Quantum Computing for Energy Correlators
• Direct Implementation of High-Fidelity Three-Qubit Gates for Superconducting Processor with Tunable Couplers
• Quantum Circuit Mapping for Universal and Scalable Computing in MZI-based Integrated Photonics
• An algorithm for minimization of quantum cost
• Pseudospin Quantum Computation in Semiconductor Nanostructures
• $i$-QER: An Intelligent Approach towards Quantum Error Reduction
• Exactly solvable many-body dynamics from space-time duality
• Optical implementations, oracle equivalence, and the Bernstein-Vazirani algorithm
• Lower Bounds for Quantum Search and Derandomization
• One Gate Scheme to Rule Them All: Introducing a Complex Yet Reduced Instruction Set for Quantum Computing
• How to check universality of quantum gates?
• Quantum processing photonic states in optical lattices
• Simplified Approach to Implementing Controlled-Unitary Operations in a Two-Qubit System
• Circuit for Shor's algorithm using 2n+3 qubits
• Nonadiabatic geometric quantum computation with shortened path on superconducting circuits
• Nonlocality activation in a photonic quantum network
• The simplified Toffoli gate implementation by Margolus is optimal
• Fredkin and Toffoli gates implemented in Oregonator model of Belousov-Zhabotinsky medium
• Fault Models for Quantum Mechanical Switching Networks
• Probabilistic storage and retrieval of qubit phase gates
• Optimal, hardware native decomposition of parameterized multi-qubit Pauli gates
• Direct implementation of a perceptron in superconducting circuit quantum hardware
• Computational complexity of non-equilibrium steady states of quantum spin chains
• Experimental Realization of Brüschweiler's exponentially fast search algorithm in a homo-nuclear system
• Topological phases of an interacting Majorana Benalcazar-Bernevig-Hughes model
• Quantum circuit synthesis via a random combinatorial search
• Asymptotically Optimal Circuit Depth for Quantum State Preparation and General Unitary Synthesis
• Experimental measurement of nonlinear entanglement witness by hyper-entangling two-qubit states
• Cavity-mediated long-range interaction for fast multiqubit quantum logic operations
• Circuit Design for $k$-coloring Problem and Its Implementation on Near-term Quantum Devices
• QuDiet: A Classical Simulation Platform for Qubit-Qudit Hybrid Quantum Systems
• Sample-efficient verification of continuously-parameterized quantum gates for small quantum processors
• Extremal Black Holes as Qudits
• Universal classical optical computing inspired by quantum information process
• Experimental tests of density matrix's properties-based complementarity relations
• Upper Bounds for the Number of Quantum Clones under Decoherence
• The phase/state duality in reversible circuit design
• Graphane with carbon dimer defects: Robust in-gap states and a scalable two-dimensional platform for quantum computation
• Merlin-Arthur with efficient quantum Merlin and quantum supremacy for the second level of the Fourier hierarchy
• Elementary operations for quantum logic with a single trapped two-level cold ion beyond Lamb-Dicke limit
• Classical programmability is enough for quantum circuits universality in approximate sense
• Decomposing Quantum Generalized Toffoli with an Arbitrary Number of Ancilla
• Optimal realization of Yang-Baxter gate on quantum computers
• Theory of Quantum Circuits with Abelian Symmetries
• Optimized quantum implementation of elliptic curve arithmetic over binary fields
• Single atoms coupled to a near-concentric cavity
• Optical rotation of heavy hole spins by non-Abelian geometrical means
• Robust-fidelity hyperparallel controlled-phase-flip gate through microcavities
• The T-Complexity Costs of Error Correction for Control Flow in Quantum Computation
• Quantum circuits for spin and flavor degrees of freedom of quarks forming nucleons
• Exploring ab initio machine synthesis of quantum circuits
• First-quantized eigensolver for ground and excited states of electrons under a uniform magnetic field
• Quantum SWAP gate realized with CZ and iSWAP gates in a superconducting architecture
• Random unitaries, Robustness, and Complexity of Entanglement
• Shor's Algorithm for Factoring Large Integers
• Cyclic permutations for qudits in $d$ dimensions
• Distillation protocols for Fourier states in quantum computing
• The Influence of Superpositional Wave Function Oscillations on Shor's Quantum Algorithm
• Number Partitioning on a Quantum Computer
• Faster variational quantum algorithms with quantum kernel-based surrogate models
• Detection and Elimination of Non-Trivial Reversible Identities
• Flying Spin Qubits in Quantum Dot Arrays Driven by Spin-Orbit Interaction
• Polarization and Orbital Angular Momentum Encoded Quantum Toffoli Gate Enabled by Diffractive Neural Networks
• A Representative Framework for Implementing Quantum Finite Automata on Real Devices
• Power of Uninitialized Qubits in Shallow Quantum Circuits
• Quantum Thermal Analogs of Electric Circuits: A Universal Approach
• Unitary Designs of Symmetric Local Random Circuits
• Virtual distillation with noise dilution
• Problem-Size Independent Angles for a Grover-Driven Quantum Approximate Optimization Algorithm
• Quantum tomography of noisy ion-based qudits
• Improved iterative quantum algorithm for ground-state preparation
• Local implementations of non-local quantum gates in linear entangled channel
• Modeling and simulation of a quantum thermal noise on the qubit
• Quantum Addition Circuits and Unbounded Fan-Out
• Near-optimal quantum circuit construction via Cartan decomposition
• Simulation of linear non-Hermitian boundary-value problems with quantum singular value transformation
• Circulating Genuine Multiparty Entanglement in Quantum Network
• Implementations of two-photon four-qubit Toffoli and Fredkin gates assisted by nitrogen-vacancy centers
• Efficient ancilla-free reversible and quantum circuits for the Hidden Weighted Bit function
• Circuit Design for $k$-coloring Problem and Its Implementation in Any Dimensional Quantum System
• Two-qubit gates for decoherence-free qubits using a ring exchange interaction
• Linear and non-linear relational analyses for Quantum Program Optimization
• Finding Broken Gates in Quantum Circuits---Exploiting Hybrid Machine Learning
• TFermion: A non-Clifford gate cost assessment library of quantum phase estimation algorithms for quantum chemistry
• Robustness of controlled Hamiltonian approaches to unitary quantum gates
• Graph Optimization Perspective for Low-Depth Trotter-Suzuki Decomposition
• Photovoltaic power forecasting using quantum machine learning
• Universal Control of Symmetric States Using Spin Squeezing
• Hardware Efficient Quantum Search Algorithm
• Phase diagram for the Grover algorithm with static imperfections
• Time evolution of the quantum entanglement between $N$ qubits due to dynamical Lamb effect in the presence of dissipation
• Spin-s Dicke states and their preparation
• Full Quantum Process Tomography of a Universal Entangling Gate on an IBM's Quantum Computer
• Mutually unbiased bases with free parameters
• Compressed simulation of thermal and excited states of the 1-D XY-model
• High-Capacity Quantum Associative Memories
• Stabilizer ground states for simulating quantum many-body physics: theory, algorithms, and applications
• Unitary Synthesis of Clifford+T Circuits with Reinforcement Learning
• Dynamically corrected gates for qubits with always-on Ising couplings: Error model and fault-tolerance with the toric code
• Adiabatic graph-state quantum computation
• A no-go result on the purification of quantum states
• Adiabatic evolution of a coupled-qubit Hamiltonian
• Entanglement in a three spin system controlled by electric and magnetic field
• Synthesis of CNOT-Dihedral circuits with optimal number of two qubit gates
• Amplitude amplification-inspired QAOA: Improving the success probability for solving 3SAT
• Quantum Computing via The Bethe Ansatz
• Demonstrating quantum algorithm acceleration with NMR quantum computer
• The Qudit ZH-Calculus: Generalised Toffoli+Hadamard and Universality
• Characterization of universal two-qubit Hamiltonians
• Quantum gate in the decoherence-free subspace of trapped ion qubits
• Lossy compression of statistical data using quantum annealer
• Efficient Hamiltonian programming in qubit arrays with nearest-neighbour couplings
• Fermionic Magic Resources of Quantum Many-Body Systems
• Circuit Design for Clique Problem and Its Implementation on Quantum Computer
• Deep Quantum Circuit Simulations of Low-Energy Nuclear States
• Constant-depth circuits for Boolean functions and quantum memory devices using multi-qubit gates
• Geometry and speed of evolution for a spin-s system with long-range zz-type Ising interaction
• Quantum Cellular Automata from Lattice Field Theories
• A Universal Quantum Circuit Design for Periodical Functions
• Prog-QAOA: Framework for resource-efficient quantum optimization through classical programs
• Explicit block encodings of boundary value problems for many-body elliptic operators
• On the Complexity of Quantum ACC
• Gradients and frequency profiles of quantum re-uploading models
• Subspace projection method for unstructured searches with noisy quantum oracles using a signal-based quantum emulation device
• Structured Error Recovery for Codeword-Stabilized Quantum Codes
• Two-qubit Quantum Logic Gate in Molecular Magnets
• Quantum walk on a graph of spins: magnetism and entanglement
• A framework for reversible circuit complexity
• Practical quantum simulation of small-scale non-Hermitian dynamics
• Rescaling interactions for quantum control
• Design of Adiabatic Logic for a Quantum CNOT Gate
• Randomised benchmarking for universal qudit gates
• Building partially entangled states with Grover's amplitude amplification process
• Capacitative coupling of singlet-triplet qubits in different inter-qubit geometries
• A Quantum Simulation Approach to Implementing Nuclear Density Functional Theory via Imaginary Time Evolution
• Fault-tolerant quantum computation
• Universal quantum computation with symmetric qubit clusters coupled to an environment
• Quantum-phase synchronization
• Manipulation of two spin qubits in a double quantum dot using an electric field
• Theoretical insights on measuring quantum correlations
• Quantum process tomography of a Mølmer-Sørensen gate via a global beam
• Automatic Post-selection by Ancillae Thermalisation
• Shortening time scale to reduce thermal effects in quantum transistors
• Double-bracket quantum algorithms for quantum imaginary-time evolution
• QContext: Context-Aware Decomposition for Quantum Gates
• A Hybrid Quantum Search Engine: A Fast Quantum Algorithm for Multiple Matches
• A Non-Adiabatic Controlled Not Gate for the Kane Solid State Quantum Computer
• Time independent quantum circuits with local interactions
• Hardness of braided quantum circuit optimization in the surface code
• A minimum control ancilla driven quantum computation scheme with repeat-until-success style gate generation
• Fast quantum logic gates with trapped ions interacting with external laser and quantized cavity field beyond the Lamb-Dicke regime
• Solution to Satisfiability problem by a complete Grover search with trapped ions
• Speedup of iterated quantum search by parallel performance
• Assisted quantum simulation of open quantum systems
• Quantum complexity phase transitions in monitored random circuits
• Generic Quantum Fourier Transforms
• Spin Entropy
• Optimized Quantum Error Correction Codes for Experiments
• Encrypted Qubits can be Cloned
• Simple Permutations Mix Even Better
• Quantum circuit for three-qubit random states
• Programmable Quantum Networks with Pure States
• Reduction of circuit depth by mapping qubit-based quantum gates to a qudit basis
• Manifold algorithmic errors in quantum computers with static internal imperfections
• PSPACE has 2-round quantum interactive proof systems
• Models of Quantum Computers and Decoherence Problem
• Quantum Algorithm to Solve Satisfiability Problems
• A Lecture on Quantum Logic Gates
• Optimal and asymptotically optimal NCT reversible circuits by the gate types
• Energy risk analysis with Dynamic Amplitude Estimation and Piecewise Approximate Quantum Compiling
• Quantum circuit compilation with quantum computers
• Solving Satisfiability Problems by the Ground-State Quantum Computer
• Initial-State Dependent Optimization of Controlled Gate Operations with Quantum Computer
• Entanglement Generation by Communication using Phase-Squeezed Light with Photon Loss
• Optimisation-free Classification and Density Estimation with Quantum Circuits
• Computing quantum magic of state vectors
• Quantum computing for simulation of fluid dynamics
• Quantum Radio Astronomy: Data Encodings and Quantum Image Processing
• A Hamiltonian for quantum copying
• Quantum computation mediated by ancillary qudits and spin coherent states
• A counterfactual Rydberg gate for photons
• Characterization, synthesis, and optimization of quantum circuits over multiple-control $\text{Z}$-rotation gates: A systematic study
• Experimental Implementation of a Codeword Stabilized Quantum Code
• On Actual Preparation of Dicke State on a Quantum Computer
• A quantum approach for digital signal processing
• Qompress: Efficient Compilation for Ququarts Exploiting Partial and Mixed Radix Operations for Communication Reduction
• Implementation of spectral methods on Ising machines: toward flow simulations on quantum annealer
• Interplay between nonclassicality and $\mathcal{P}\mathcal{T}$ symmetry in an effective two level system with open system effects
• A unified approach to realize universal quantum gates in a coupled two-qubit system with fixed always-on coupling
• Quantum Gate Sets for Lattice QCD in the strong coupling limit: $N_f=1$
• Scalable Neutral Atom Quantum Computer with Interaction on Demand: Proposal for Selective Application of Two-Qubit Gate
• General sequential quantum cloning
• Trade-off between Gradient Measurement Efficiency and Expressivity in Deep Quantum Neural Networks
• Polarization Requirements for Ensemble Implementations of Quantum Algorithms with a Single Bit Output
• Cyclic networks of quantum gates
• Systematic construction of topological-nontopological hybrid universal quantum gates based on many-body Majorana fermion interactions
• Quantum dense coding by spatial state entanglement
• Experimental Realization of an NMR Quantum Switch
• An Almost-Quadratic Lower Bound for Quantum Formula Size
• Scaling W state circuits in the qudit Clifford hierarchy
• Quantum encoder for fixed Hamming-weight subspaces
• Ternary Logic Design in Topological Quantum Computing
• Quantum-classical tradeoffs and multi-controlled quantum gate decompositions in variational algorithms
• Mathematical Models of Contemporary Elementary Quantum Computing Devices
• An Algorithm for Reversible Logic Circuit Synthesis Based on Tensor Decomposition
• Design of gates for quantum computation: the three-spin XOR gate in terms of two-spin interactions
• Robust Quantum Arithmetic Operations with Intermediate Qutrits in the NISQ-era
• Quantum Zeno-based Detection and State Engineering of Ultracold Polar Molecules
• Supercomputer model of finite-dimensional quantum electrodynamics applications
• A method of enciphering quantum states
• Test-State Approach to the Quantum Search Problem
• Improved resource-tunable near-term quantum algorithms for transition probabilities, with applications in physics and variational quantum linear algebra
• Multiple multi-control unitary operations: implementation and applications
• Probing the geometry of two-qubit state space by evolution
• Encoding quantum bits in bound electronic states of a graphene nanotorus
• A survey of universal quantum von Neumann architecture
• Quantum Computer as a Probabilistic Inference Engine
• Implementation of Quantum Fourier Transform and Quantum Hashing for a Quantum Device with Arbitrary Qubits Connection Graphs
• Mechanical Systems that are both Classical and Quantum
• Synthesis and Optimization of Reversible Circuits for Homogeneous Boolean Functions
• Quantum-dot spin qubit and hyperfine interaction
• ROM-based quantum computation: Experimental explorations using Nuclear Magnetic Resonance, and future prospects
• All you need is spin: SU(2) equivariant variational quantum circuits based on spin networks
• A practical quantum encryption protocol with varying encryption configurations
• The Hadamard gate cannot be replaced by a resource state in universal quantum computation
• Computational Complexity of Uniform Quantum Circuit Families and Quantum Turing Machines
• Complete set of circuit equations for Stabilizer Quantum Mechanics
• Structured quantum search in NP-complete problems using the cumulative density of states
• Database Manipulation on Quantum Computers
• A modular entanglement-based quantum computer architecture
• How to Compile Some NAND Formula Evaluators
• Fundamental Gates for a Strongly Correlated Two-Electron Quantum Ring
• Classical and Quantum Causality in Quantum Field Theory. Or, "The Quantum Universe"
• Causality Constraint on Circuit Complexity from $COSMOEFT$
• Quantum Computations: Fundamentals And Algorithms
• Quantum Oracles in Terms of Universal Gate Set
• New designs of reversible sequential devices
• Efficient Circuits for Exact-Universal Computations with Qudits
• Multi-spin errors in the optical control of a spin quantum memory
• Qumode transfer between continuous and discrete variable devices
• Error correctable efficient quantum homomorphic encryption using Calderbank-Shor-Steane codes
• Efficient multi-qubit subspace rotations via topological quantum walks
• Counting, Fanout, and the Complexity of Quantum ACC
• An algorithm for simulating the Ising model on a type-II quantum computer
• Introduction to Grassmann Manifolds and Quantum Computation
• Exploiting subspace constraints and ab initio variational methods for quantum chemistry
• Modular quantum signal processing in many variables
• Reflection and Transmission Amplitudes in a Digital Quantum Simulation
• A proposal for implementing an n-qubit controlled-rotation gate with three-level superconducting qubit systems in cavity QED
• Non-Local Properties in Euclidean Quantum Gravity
• Comparing planar quantum computing platforms at the quantum speed limit
• Computing Electronic Correlation Energies using Linear Depth Quantum Circuits
• The Role of Quantum Computing in Advancing Scientific High-Performance Computing: A perspective from the ADAC Institute
• Conditions for a quadratic quantum speedup in nonlinear transforms with applications to energy contract pricing
• Encoding of linear kinetic plasma problems in quantum circuits via data compression
• An upper bound on the time required to implement unitary operations
• Study on Dynamics of N Level System of Atom by Laser Fields
• Space-Time Topology in Teleportation-Based Quantum Computation
• The statistics of the entanglement changes generated by the Hadamard-CNOT quantum circuit
• Image Processing in Quantum Computers
• Robust controllability of two-qubit Hamiltonian dynamics
• Decomposition of high-rank factorized unitary coupled-cluster operators using ancilla and multi-qubit controlled low-rank counterparts
• Matchgate quantum computing and non-local process analysis
• Solutions to the constant Yang-Baxter equation in all dimensions
• Ladder Operator Block-Encoding
• Geodesic Algorithm for Unitary Gate Design with Time-Independent Hamiltonians
• An Optimized Quantum Maximum or Minimum Searching Algorithm and its Circuits
• Calculation of the moscovium ground-state energy by quantum algorithms
• Coherent spaces, Boolean rings and quantum gates
• Quantum State Preparation Using an Exact CNOT Synthesis Formulation
• Simulation of finite state machines in a quantum computer
• Universal quantum circuit for n-qubit quantum gate: A programmable quantum gate
• Quantum algorithm for the Laughlin wave function
• Implementing Quantum Gates using the Ferromagnetic Spin-J XXZ Chain with Kink Boundary Conditions
• Dynamics of a Quantum Control-Not Gate for an Ensemble of Four-Spin Molecules at Room Temperature
• An Amplitude-Based Implementation of the Unit Step Function on a Quantum Computer
• Pseudospin and Quantum Computation in Semiconductor Nanostructures
• Quantum computing in neural networks
• Improving Gate-Level Simulation of Quantum Circuits
• Stochastic Simulation of Grover's Algorithm
• A Family of Optimal Packings in Grassmannian Manifolds
• Tight Bounds on the Synthesis of 3-bit Reversible Circuits: NFT Library
• Decomposition of unitary matrices and quantum gates
• Network Rewriting I: The Foundation
• Quantum simulation of topological Majorana bound states and their universal quantum operations using charge-qubit arrays
• Quantum-Logic Synthesis of Hermitian Gates
• $Q|SI⟩$: A Quantum Programming Environment
• Empirical determination of the simulation capacity of a near-term quantum computer
• Towards Efficient Superconducting Quantum Processor Architecture Design
• A Quantum Algorithm for the Sensitivity Analysis of Business Risks
• Quantum Circuit for Random Forest Prediction
• Quantum circuits for partial differential equations in Fourier space
• Correcting noisy quantum gates with shortcuts to adiabaticity
• Double-bracket algorithm for quantum signal processing without post-selection
• Optimized noise-resilient surface code teleportation interfaces
• Topological state permutations in time-modulated non-Hermitian multiqubit systems with suppressed non-adiabatic transitions
• Virtual Z gates and symmetric gate compilation
• Multidimensional Quantum Generative Modeling by Quantum Hartley Transform
• Geometric representations of braid and Yang-Baxter gates
• Architectures and random properties of symplectic quantum circuits
• Cost of Emulating a Small Quantum Annealing Problem in the Circuit-Model
• One-step implementation of nonadiabatic geometric fSim gate in superconducting circuits
• Optimal compression of constrained quantum time evolution
• Linear decomposition of approximate multi-controlled single qubit gates
• State-independent robust heat-bath algorithmic cooling of nuclear spins
• Heralded gate search with genetic algorithms for quantum computation
• Controlled-NOT gate based on the Rydberg states of surface electrons
• Wigner State and Process Tomography on Near-Term Quantum Devices
• A quantum register using collective excitations in a Bose-Einstein condensate
• Classification of Schmidt-rank-two multipartite unitary gates by singular number
• Blindly Factorizing 21 Quantumly
• Resource Reduction in Multiplexed High-Dimensional Quantum Reed-Solomon Codes
• Optimized numerical gradient and Hessian estimation for variational quantum algorithms
• Quantum compiling with a variational instruction set for accurate and fast quantum computing
• Measurement-based interleaved randomised benchmarking using IBM processors
• Fault-tolerance in qudit circuit design
• ROM-based computation: quantum versus classical
• Straddling-gates problem in multipartite quantum systems
• Simulating quantum chaos on a quantum computer
• Moving Quantum States without SWAP via Intermediate Higher Dimensional Qudits
• Quantum Circuit Transformation Based on Tabu Search
• Universal quantum computation via quantum controlled classical operations
• Topological obstructions to quantum computation with unitary oracles
• Quantum Circuit Transformation: A Monte Carlo Tree Search Framework
• Tunable Quantum Neural Networks for Boolean Functions
• Derivation of the robustness from the concurrence
• Information-Theoretic Meaning of Quantum Information Flow and Its Applications to Amplitude Amplification Algorithms
• Simple digital quantum algorithm for symmetric first order linear hyperbolic systems
• Geometry of quantum state manifolds generated by the Lie algebra operators
• Hybrid entanglement caused by depletion of pump on output of spontaneous parametric down converter
• Applying Grover's algorithm to AES: quantum resource estimates
• Phase context decomposition of diagonal unitaries for higher-dimensional systems
• Quantum Phase Estimation Algorithm for Finding Polynomial Roots
• A tunable coupler with ScS quantum point contact to mediate strong interaction between flux qubits
• A quantum algorithm for solving some discrete mathematical problems by probing their energy spectra
• Quantum logic as superbraids of entangled qubit world lines
• Decoherence-free manipulation of photonic memories for quantum computation
• Quantum search processes in the cyclic group state spaces
• Optimal generation of single-qubit operation from an always-on interaction by algebraic decoupling
• Quantum Games and Programmable Quantum Systems
• Quantum Processors and Controllers
• A common algebraic description for probabilistic and quantum computations
• Dynamical Aspects of Information Storage in Quantum-Mechanical Systems
• On the Irresistible Efficiency of Signal Processing Methods in Quantum Computing
• How big is a quantum computer?
• Single Molecule Magnetic Resonance and Quantum Computation
• New Trends in Quantum Computing
• Monte Carlo approach for finding optimally controlled quantum gates with differential geometry
• On the Difficulty of Inserting Trojans in Reversible Computing Architectures
• Invariance of success probability in Grover's quantum search under local noise with memory
• Quantifying imaginarity of quantum operations
• Qubit logic modeling by electronic circuits and electromagnetic signals
• A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics
• Splitting of the three-body Förster resonance in Rb Rydberg atoms as a measure of dipole-dipole interaction strength
• Markov Process Simulation with Quantum Computer
• A new algorithm for producing quantum circuits using KAK decompositions
• Quantum Computing Beyond Ground State Electronic Structure: A Review of Progress Toward Quantum Chemistry Out of the Ground State
• Mirrored Entanglement Witnesses for Multipartite and High-Dimensional Quantum Systems
• Generation of perfectly entangled two and three qubits states by classical random interaction
• Digital Simulation of Single Qubit Markovian Open Quantum Systems: A Tutorial
• Scalable Quantum Computational Science: A Perspective from Block-Encodings and Polynomial Transformations
• Asymptotically optimal synthesis of reversible circuits
• Constant Time Quantum search Algorithm Over A Datasets: An Experimental Study Using IBM Q Experience
• Characteristics, Implementation and Applications of Special Perfect Entangler Circuits
• Entanglement of weighted graphs uncovers transitions in variable-range interacting models
• Synthesizing Quantum Circuits for Simple Periodic Functions
• Implementation of a two-qubit state by an auxiliary qubit on the three-spin system
• The Quantum Monadology
• Quantum Neural Networks
• Adaptive Circuit Learning of Born Machine: Towards Realization of Amplitude Embedding and Quantum Data Loading
• Practical implementation of arbitrary nonlocal controlled-unitary gate via indefinite causal order
• Optimized Topological Quantum Compilation of Three-Qubit Controlled Gates in the Fibonacci Anyon Model: A Controlled-Injection Approach
• Dissipationless topological quantum computation for Majorana objects in sparse-dense mixed encoding process
• Estimating the Number of States via the Rodeo Algorithm for Quantum Computation
• Quantum Gates Between Mesoscopic Spin Ensembles
• The Geometry of Quantum Computing
• Quantum Compiling by Deep Reinforcement Learning
• Classically-Boosted Variational Quantum Eigensolver
• Single-Copy Certification of Two-Qubit Gates without Entanglement
• Universality for Sets of Three-Valued Qubit Gates
• Constructing three-qubit unitary gates in terms of Schmidt rank and CNOT gates
• Comment on "A Recursive Parametrisation of Unitary Matrices"
• Pure State Tomography with Fourier Transformation
• Universal set of Dynamically Protected Gates for Bipartite Qubit Networks II: Soft Pulse Implementation of the [[5,1,3]] Quantum Error Correcting Code
• Universality of Computation in Real Quantum Theory
• Efficient Quantum Circuit Encoding of Object Information in 2D Ray Casting
• Scalability and high-efficiency of an $(n+1)$-qubit Toffoli gate sphere via blockaded Rydberg atoms
• Transversal CNOT gate with multi-cycle error correction
• Approximate real-time evolution operator for potential with one ancillary qubit and application to first-quantized Hamiltonian simulation
• Reversible Logic Circuit Complexity Analysis via Functional Decomposition
• Benchmarking the performance of a high-Q cavity qudit using random unitaries
• Flexible Representation and Manipulation of Audio Signals on Quantum Computers
• Unconditionally separating noisy ${\mathsf{QNC}}^0$ from bounded polynomial threshold circuits of constant depth
• Cayley graphs and analysis of quantum cost for reversible circuit synthesis
• Quantum Computational Representation of the Bosonic Oscillator
• Integrated photonic 3D waveguide arrays for quantum random walks on a circle
• Switching the sign of photon induced exchange interactions in semiconductor microcavities with finite quality factors
• Quantum many-body simulation of finite-temperature systems with sampling a series expansion of a quantum imaginary-time evolution
• Error Channels and the Threshold for Fault-tolerant Quantum Computation
• Singlet States Preparation for Three $\Lambda$-type Atoms with Rydberg Blockade Mechanism
• ALEPH-QP: Universal hybrid quantum processors
• Quantum Codes for Controlling Coherent Evolution
• Simulation of the 1d XY model on a quantum computer
• An Introduction to Logical Operations on Classical and Quantum Bits
• Quantum Complexity Classes
• Ab-Initio Approach to Many-Body Quantum Spin Dynamics
• Classical Cryptosystems In A Quantum Setting
• Simplify proposal for realizing multiqubit tunable phase gate in circuit QED
• One-way communication complexity and the Neciporuk lower bound on formula size
• Theoretical realization of a two qubit quantum controlled-not logic gate and a single qubit Hadamard logic gate in the anti-Jaynes-Cummings model
• Limits of quantum speed-ups for computational geometry and other problems: Fine-grained complexity via quantum walks
• Multi-Mode Global Driving of Trapped Ions for Quantum Circuit Synthesis
• Detecting Entanglement Generating Circuits in Cloud-Based Quantum Computing
• Scalable quantum simulator with an extended gate set in giant atoms
• Quantum logic as a sum over classical logic gates
• A New Qubits Mapping Mechanism for Multi-programming Quantum Computing
• Generalization of CNOT-based Discrete Circular Quantum Walk: Simulation and Effect of Gate Errors
• Low overhead universality and quantum supremacy using only $Z$-control
• Entanglement Purification with the Exchange Interaction
• An Evolutionary Approach to Optimizing Communication Cost in Distributed Quantum Computation
• Validity condition for high-fidelity Digitized Quantum Annealing
• Phases and phase transition in Grover's algorithm with systematic noise
• Characterization of a quantum bus between two driven qubits
• Combinatorial Topology Of Multipartite Entangled States
• Quantum Compiling with Approximation of Multiplexors
• Quantum algorithms for the Goldreich-Levin learning problem
• High-fidelity multiqubit Rydberg gates via two-photon adiabatic rapid passage
• The Parity Flow Formalism: Tracking Quantum Information Throughout Computation
• Modeling the atomtronic analog of an optical polarizing beam splitter, a half-wave plate, and a quarter-wave plate for phonons of the motional state of two trapped atom
• Outcome Independence of Entanglement in One-Way Computation
• Unitary evolution and elements of reality in consecutive quantum measurements
• Solitonic Andreev spin qubits from Andreev states in Corbino Josephson junctions
• Engineering Precise and Robust Effective Hamiltonians
• Efficient production of large-scale optical Schrodinger cat states
• Decidable and undecidable problems about quantum automata
• One-step direct measurement of the entangled W states with cross-Kerr nonlinearity
• Dynamic Quantum Logic for Quantum Programs
• Synthesis methods for reversible circuits consisting of NOT, CNOT and 2-CNOT gates (Ph.D. thesis)
• Maximal Entanglement: Applications in Quantum Information and Particle Physics
• Scheme for a linear-optical controlled-phase gate with programmable phase shift
• Time optimal holonomic quantum computation
• Supervised quantum gate "teaching" for quantum hardware design
• Heralded High-Dimensional Photon-Photon Quantum Gate
• A Novel Single-Layer Quantum Neural Network for Approximate SRBB-Based Unitary Synthesis
• Design Automation and Design Space Exploration for Quantum Computers
• Ion-Based Characterization of Laser Beam Profiles for Quantum Information Processing
• Quantum computing Hamiltonian cycles
• Stochastic search for approximate compilation of unitaries
• Phase Estimation with Compressed Controlled Time Evolution
• Discrete phase-space approach to mutually orthogonal Latin squares
• Quantum circuit and mapping algorithms for wavepacket dynamics: case study of anharmonic hydrogen bonds in protonated and hydroxide water clusters
• Faster manipulation of large quantum circuits using wire label reference diagrams
• Clarification on the Mapping of Reversible Circuits to the NCV-v1 Library
• End-to-End Quantum Algorithm for Topology Optimization in Structural Mechanics
• Resource state generation for a multispin register in a hybrid matter-photon quantum information processor
• Minimum Synthesis Cost of CNOT Circuits
• Three-Qubit State Preparation: Classification and Explicit Circuits
• Asymptotic bounds on quantum partial search algorithm and its applications to parallel search
• Universal quantum processors with arbitrary radix n
• Efficient Estimation and Sequential Optimization of Cost Functions in Variational Quantum Algorithms
• Optimal Space-Depth Trade-Off of CNOT Circuits in Quantum Logic Synthesis
• Compiling universal quantum circuits
• Quantum Software Reusability
• Von Neumann Quantum Processors
• Analytical technique for simplification of the encoder-decoder circuit for a perfect five-qubit error correction
• Principles and Demonstrations of Quantum Information Processing by NMR Spectroscopy
• An Architecture of Deterministic Quantum Central Processing Unit
• Automated Synthesis of Quantum Algorithms via Classical Numerical Techniques
• Simplifying Quantum Circuits via Circuit Invariants and Dressed CNOTs
• The basic principles to construct a generalized state-locking pulse field and simulate efficiently the reversible and unitary halting protocol of a universal quantum computer
• Transpiling quantum assembly language circuits to a qudit form
• Classification and transformations of quantum circuit decompositions for permutation operations
• The Universality of the Quantum Fourier Transform in Forming the Basis of Quantum Computing Algorithms
• Quantization of Games: Towards Quantum Artificial Intelligence
• Optimal and robust error filtration for quantum information processing
• Cooling algorithms based on the 3-bit majority
• Classification using a two-qubit quantum chip
• A Review of Procedure to Evolve Quantum Procedures
• A two reservoir model of quantum error correction
• Near-Optimal Quantum Algorithms for String Problems
• qSAT: Design of an Efficient Quantum Satisfiability Solver for Hardware Equivalence Checking
• All You Need is pi: Quantum Computing with Hermitian Gates
• An Upper Bound to the Number of Gates on Single Qubit within One Error-Correction Period of Quantum Computation
• Quantum Amplitude Arithmetic
• Quantum Theory from Principles, Quantum Software from Diagrams
• Some Notes on Parallel Quantum Computation
• NP in BQP with Nonlinearity
• Decoherence of Dynamically Manipulated Qubits
• Quantum Computation: A Computer Science Perspective
• A generalized quantum SWAP gate
• Jarlskog's Parametrization of Unitary Matrices and Qudit Theory
• Testing quantum expanders is co-QMA-complete
• Realizing an $n$-target-qubit controlled phase gate in cavity QED: An approach without classical pulses
• A complete transformation rule set and a minimal equation set for CNOT-based 3-qubit quantum circuits (Draft)
• Genuine fidelity gaps associated with a sequential decomposition of genuinely entangling isometry and unitary operations
• Decomposition of Diagonal Hermitian Quantum Gates Using Multiple-Controlled Pauli Z Gates
• Multi-target-qubit unconventional geometric phase gate in a multi-cavity system
• Universal quantum gates for photon-atom hybrid systems assisted by bad cavities
• Shortcuts to adiabaticity and applications to Quantum Computation
• Decoherence of the quantum logic gate implemented with the Jaynes-Cummings model: A semiclassical approach
• Products of finite order rotations and quantum gates universality
• Space-efficient classical and quantum algorithms for the shortest vector problem
• Graph comparison via nonlinear quantum search
• Fine-grained quantum computational supremacy
• An axiomatic measure of one-way quantum information
• Open n-Qubit System as a Quantum Computer with Four-Valued Logic
• A Quantum Physical Design Flow Using ILP and Graph Drawing
• Experimental Demonstration of Efficient High-dimensional Quantum Gates with Orbital Angular Momentum
• Implementing Bilinear Interpolation on Quantum Images
• Obscure qubits and membership amplitudes
• Modular quantum computing and quantum-like devices
• Quantum Gate Pattern Recognition and Circuit Optimization for Scientific Applications
• On Assessing the Quantum Advantage for MaxCut Provided by Quantum Neural Network Ansätze
• Clifford algebras, noncommutative tori and universal quantum computers
• Nuclear two point correlation functions on a quantum-computer
• Exploiting Long-Distance Interactions and Tolerating Atom Loss in Neutral Atom Quantum Architectures
• Quantum logic as reversible computing
• Nontraditional Deterministic Remote State Preparation Using a Non-Maximally Entangled Channel without Additional Quantum Resources
• Constructing all qutrit controlled Clifford+T gates in Clifford+T
• Approximate quantum gates compiling with self-navigation algorithm
• Tunable Quantum Neural Networks in the QPAC-Learning Framework
• Quantum Formulas: a Lower Bound and Simulation
• Hierarchies among genuine multipartite entangling capabilities of quantum gates
• Hidden tensor structures
• Synthesis of Energy-Conserving Quantum Circuits with XY interaction
• Quantum Algorithms for State Preparation and Data Classification based on Stabilizer Codes
• Simultaneous intraportation of many quantum states within the quantum computing network
• Minimal Equational Theories for Quantum Circuits
• Noise robustness of a multiparty quantum summation protocol
• A class of symmetric controlled quantum operations
• Imperfect Entangling Power of Quantum Gates
• Scalable Pattern Matching in Computation Graphs
• Hamiltonian-reconstruction distance as a success metric for the Variational Quantum Eigensolver
• Building a fusion-based quantum computer using teleported gates
• Distributed Exact Generalized Grover's Algorithm
• Unraveling Rodeo Algorithm Through the Zeeman Model
• Quantum Computation
• Reducing depth and measurement weights in Pauli-based computation
• Universal Quantum Computation with Shutter Logic
• Delocalized Qubits as a Computational Basis in the System of Interacting Spins
• Gate Efficient Composition of Hamiltonian Simulation and Block-Encoding with its Application on HUBO, Chemistry and Finite Difference Method
• Use of Electron Paramagnetic resonance (EPR) technique to build quantum computers: n-qubit (n=1,2,3,4) Toffoli Gates
• Efficient Classical Simulation of the DQC1 Circuit with Zero Discord
• Quantum circuit synthesis with SQiSW
• Learning agent-based approach to the characterization of open quantum systems
• Ion-Trap Chip Architecture Optimized for Implementation of Quantum Error-Correcting Code
• An efficient explicit implementation of a near-optimal quantum algorithm for simulating linear dissipative differential equations
• Neutral atom entangling gate in the ultrastrong coupling regime
• Optical Quantum Computing
• Nonlocal characteristics and argand diagram of two-qubit gates
• Quantum Simulation-Based Optimization for Cooling System Design
• $\text{Symdyn}$: an automated algebraic solution for high-order quantum systems
• Quantum oracles for the finite element method
• Spectral quantum algorithm for passive scalar transport in shear flows
• Engineering long-range and multi-body interactions via global kinetic constraints
• Doubling Qubits in a Trapped-Ion System via Vibrational Dual-Rail Encoding
• Fully Quantum Lattice Gas Automata Building Blocks for Computational Basis State Encodings
• Accelerated spin-adapted ground state preparation with non-variational quantum algorithms
• Simulating plasma wave propagation on a superconducting quantum chip
• Suppressing crosstalk for Rydberg quantum gates
• Optimizing Compilation for Distributed Quantum Computing via Clustering and Annealing
• Perturbation theory, irrep truncations, and state preparation methods for quantum simulations of SU(3) lattice gauge theory
• Time-frequency-correlated Native CCZ Gate in Superconducting Circuits
• Clifford Transformations for Fermionic Quantum Systems: From Paulis to Majoranas to Fermions
• Non-Orthomodular Models for Both Quantum Logic and Standard Classical Logic: Repercussions for Quantum Computers
• Measurement-Based Quantum Computation Using the Spin-1 XXZ Model with Uniaxial Anisotropy
• Realizing Unitary $k$-designs with a Single Quench
• Hamiltonian simulation with explicit formulas for Digital-Analog Quantum Computing
• Automated Discovery of Non-local Photonic Gates
• Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories
• Quantum annealing and condensed matter physics
• A role of antiquantum bits for superdense coding and quantum computing
• Bit-Vector Abstractions to Formally Verify Quantum Error Detection & Entanglement
• Quantum simulating multi-particle processes in high energy nuclear physics: dijet production and color (de)coherence
• Fully Quantum Algorithm for the 1-dimensional linear Lattice Boltzmann Method
• Saving resources through repeat-until-success positive-operator-valued-measure measurements in quantum computation
• Formal Verification of Quantum Ancilla Safety
• Barenco gate implementation using driven two- and three-qubit spin chains
• Robust composite two-qubit gates for silicon-based spin qubits
• Thermodynamic Signature of Logical Depth in Quantum Circuits
• Exploring Non-Linear Programming Formulations in QuantumCircuitOpt for Optimal Circuit Design
• A T-depth two Toffoli gate for 2D square lattice architectures
• Synthesis and upper bound of Schmidt rank of the bipartite controlled-unitary gates
• Detailed Account of Complexity for Implementation of Some Gate-Based Quantum Algorithms
• Designs for a two-dimensional Si quantum dot array with spin qubit addressability
• Software mitigation of coherent two-qubit gate errors
• Dual Toffoli and Peres-reversible gates
• Factorizing time evolution into elementary steps
• Quantum Algorithms in Cybernetics
• QUANTIFY: A framework for resource analysis and design verification of quantum circuits
• Realization of p_valued Deutsch quantum gates
• One-step implementation of a multi-target-qubit controlled phase gate with cat-state qubits in circuit QED
• Entaglement-Based Quantum Mean Estimator Circuit
• A Reed Muller-based approach for optimization of general binary quantum multiplexers
• Generation and Detection of Quantum Correlations and Entanglement on a Spin-Based Quantum Information Processor
• Feasible Surface Plasmon Routing Based on The Self-assembled InGaAs/GaAs Semiconductor Quantum Dot Located between Two Silver Metallic Waveguides
• Ancilla-Input and Garbage-Output Optimized Design of a Reversible Quantum Integer Multiplier
• Dressed-state scheme for a fast CNOT gate
• The unitary dynamical state-locking process, the HSSS quantum search process, and the quantum-computing speedup theory
• Universal quantum gates on electron-spin qubits with quantum dots inside single-side optical microcavities
• Mixed polarity reversible Peres gates
• A symbolic calculus for a class of quantum computing circuits
• On Quantum Turing Machine Halting Deterministically
• Hopf algebra description of quantum circuits
• Quantum Dots: Coulomb Blockade, Mesoscopic Fluctuations, and Qubit Decoherence
• Non-adiabatic Arbitary Geometric Gates in 2-qubit NMR Model
• High Fidelity Single-Qubit Gates Using Non-adiabatic Rapid Passage
• High fidelity universal set of quantum gates using non-adiabatic rapid passage
• Preparation and manipulation of a fault-tolerant superconducting qubit
• A proposal for a conditional definition of the Swap Gate
• On interchanging the states of a pair of qudits
• Optimal Realizations of Controlled Unitary Gates
• Robust quantum information processing with techniques from liquid state NMR
• Creating Boolean Functions for the Five-EPR-Pair, Single-Error-Correcting Code
• From Fermat's last theorem to the quantum computer