Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer

Abstract

A digital computer is generally believed to be an efficient universal computing device; that is, it is believed able to simulate any physical computing device with an increase in computation time of at most a polynomial factor. This may not be true when quantum mechanics is taken into consideration. This paper considers factoring integers and finding discrete logarithms, two problems which are generally thought to be hard on a classical computer and have been used as the basis of several proposed cryptosystems. Efficient randomized algorithms are given for these two problems on a hypothetical quantum computer. These algorithms take a number of steps polynomial in the input size, e.g., the number of digits of the integer to be factored.

28 pages, LaTeX. This is an expanded version of a paper that appeared in the Proceedings of the 35th Annual Symposium on Foundations of Computer Science, Santa Fe, NM, Nov. 20--22, 1994. Minor revisions made January, 1996

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• Tools for Quantum Computing Based on Decision Diagrams
• Sure success partial search
• Large-Scale Simulation of Shor's Quantum Factoring Algorithm
• Distributed quantum algorithm for Simon's problem
• Protecting Expressive Circuits with a Quantum Error Detection Code
• Quantum Dimensionality Reduction by Linear Discriminant Analysis
• Fault-tolerant Operations for Universal Blind Quantum Computation
• Optimization of Lattice Surgery is NP-Hard
• Multivariable quantum signal processing (M-QSP): prophecies of the two-headed oracle
• Quantum processing by remote quantum control
• Twist: Sound Reasoning for Purity and Entanglement in Quantum Programs
• Quantum Annealing-Based Software Components: An Experimental Case Study with SAT Solving
• Optimal Control for Quantum Metrology via Pontryagin's principle
• Computing the Noncomputable
• Artificial Life in Quantum Technologies
• Experimental quantum pattern recognition in IBMQ and diamond NVs
• Is Hilbert space discrete?
• Catalyst-Assisted Probabilistic Coherence Distillation for Mixed States
• Suppressing ZZ Crosstalk of Quantum Computers through Pulse and Scheduling Co-Optimization
• Synchronization in Quantum Key Distribution Systems
• Continuous-variable quantum digital signatures over insecure channels
• Can quantum mechanics help distributed computing?
• Understanding Quantum Control Processor Capabilities and Limitations through Circuit Characterization
• Simulating noisy quantum protocols with quantum trajectories
• Six-electron semiconductor double quantum dot qubits
• Modular discretization of the AdS2/CFT1 Holography
• Geometric Algebra and Information Geometry for Quantum Computational Software
• Quantum communication capacity transition of complex quantum networks
• Computational Indistinguishability between Quantum States and Its Cryptographic Application
• Single-shot optical readout of a quantum bit using cavity quantum electrodynamics
• Techniques for combining fast local decoders with global decoders under circuit-level noise
• Entanglement, Information and Multiparticle Quantum Operations
• Quantum Phase Processing and its Applications in Estimating Phase and Entropies
• Fault-tolerant quantum computation using large spin cat-codes
• Universal Quantum Computation in a Neutral Atom Decoherence Free Subspace
• Scalable Networking of Neutral-Atom Qubits: Nanofiber-Based Approach for Multiprocessor Fault-Tolerant Quantum Computer
• Prime Factorization Using Magnonic Holographic Device
• Few-electron quantum dots for quantum computing
• Learning correlated noise in a 39-qubit quantum processor
• Unbounded memory advantage in stochastic simulation using quantum mechanics
• Verifying commuting quantum computations via fidelity estimation of weighted graph states
• On Halting Process of Quantum Turing Machine
• Measures of quantum computing speedup
• Time-optimal control of a dissipative qubit
• On the Universality of Memcomputing Machines
• Adiabatic preparation without Quantum Phase Transitions
• Energy-Consumption Advantage of Quantum Computation
• Decoherence on Grover's quantum algorithm: perturbative approach
• Schemes of implementation in NMR of quantum processors and Deutsch-Jozsa algorithm by using virtual spin representation
• Entangled biphoton generation in myelin sheath
• Fast Non-Adiabatic Two Qubit Gates for the Kane Quantum Computer
• Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates with Two Dark Paths in a Trapped Ion
• Revisiting the Mapping of Quantum Circuits: Entering the Multi-Core Era
• Hacking single-photon avalanche detector in quantum key distribution via pulse illumination
• Neutrino Oscillations in a Quantum Processor
• Qcmpi: A Parallel Environment for Quantum Computing
• Physical-Layer Cryptography Through Massive MIMO
• Simulating single photons with realistic photon sources
• Self-Testing of Universal and Fault-Tolerant Sets of Quantum Gates
• Trading quantum for classical resources in quantum data compression
• Experimental Quantum Randomness Processing
• Implementation of a Deutsch-like quantum algorithm utilizing entanglement at the two-qubit level, on an NMR quantum information processor
• Tower: Data Structures in Quantum Superposition
• Universal Dephasing Control During Quantum Computation
• Composite Toffoli gate with two-round error detection
• The Vectorial $\lambda$-Calculus
• Universal Parity Quantum Computing
• Secure Multi-Party Computation with a Dishonest Majority via Quantum Means
• Locally distinguish unextendible product bases by efficiently using entanglement resource
• Canonical circuit quantization with linear nonreciprocal devices
• Dynamic Grover Search: Applications in Recommendation systems and Optimization problems
• A Systematic Study of Lattice-based NIST PQC Algorithms: from Reference Implementations to Hardware Accelerators
• Non-Unitary Quantum Walks on Hyper-Cycles
• Implementation of a generalized CNOT gate between fixed-frequency transmons
• Quantum supremacy in constant-time measurement-based computation: A unified architecture for sampling and verification
• A quantum algorithm to approximate the linear structures of Boolean functions
• Threats and Opportunities: Blockchain Meets Quantum Computation
• Note on Coherent States and Adiabatic Connections, Curvatures
• Encoding Universal Computation in the Ground States of Ising Lattices
• Entanglement Simulations of Shor's Algorithm
• Theoretical Studies of Graphene Nanoribbon Quantum Dot Qubits
• Continuous discretization of infinite dimensional Hilbert spaces
• Neural ensemble decoding for topological quantum error-correcting codes
• Application of Pontryagin's Minimum Principle to Grover's Quantum Search Problem
• Toward long-range entanglement between electrically driven single-molecule magnets
• Quantum complexities of ordered searching, sorting, and element distinctness
• On the Computational Power of Molecular Heat Engines
• Quantum computation is the unique reversible circuit model for which bits are balls
• Prime Number Decomposition using the Talbot Effect
• Decoherence in a N-qubit solid-state quantum computer
• High-Fidelity Control of Superconducting Qubits Using Direct Microwave Synthesis in Higher Nyquist Zones
• Experimental Data from a Quantum Computer Verifies the Generalized Pauli Exclusion Principle
• Microwave-multiplexed qubit controller using adiabatic superconductor logic
• Quantum Meets Fine-grained Complexity: Sublinear Time Quantum Algorithms for String Problems
• Burning the Trojan Horse: Defending against Side-Channel Attacks in QKD
• Approximating Fractional Time Quantum Evolution
• The Significance of the $C$-Numerical Range and the Local $C$-Numerical Range in Quantum Control and Quantum Information
• Efficient variational synthesis of quantum circuits with coherent multi-start optimization
• The Limiting Distribution of Decoherent Quantum Random Walks
• Quantum Query Complexity of Subgraph Containment with Constant-sized Certificates
• Application of Pontryagin's Maximum Principle to Quantum Metrology in Dissipative Systems
• Robust adiabatic approach to optical spin entangling in coupled quantum dots
• LDPC-cat codes for low-overhead quantum computing in 2D
• Quantum information in the Posner model of quantum cognition
• Ultrafast initialization and QND-readout of a spin qubit via control of nanodot-vacuum coupling
• Efficient and scalable quantum walk algorithms via the quantum Fourier transform
• Efficient rate-adaptive reconciliation for continuous-variable quantum key distribution
• Demonstrating NISQ Era Challenges in Algorithm Design on IBM's 20 Qubit Quantum Computer
• Factorization of numbers with Gauss sums: I. Mathematical background
• Interaction-free generation of entanglement
• Qdensity - a Mathematica Quantum Computer Simulation
• Entanglement Decay Versus Energy Change: A Model
• Simultaneous polydirectional transport of colloidal bipeds
• Faster than Classical Quantum Algorithm for dense Formulas of Exact Satisfiability and Occupation Problems
• Efficient Online Quantum Generative Adversarial Learning Algorithms with Applications
• Quantum variational learning for quantum error-correcting codes
• Robustness of QMA against witness noise
• Error estimation at the information reconciliation stage of quantum key distribution
• A quantum primality test with order finding
• Entanglement quantification through local observable correlations
• Experimental demonstration of the DPTS QKD protocol over a 170 km fiber link
• The complexity of simulating constant-depth BosonSampling
• Collective optimization for variational quantum eigensolvers
• Bell inequalities and density matrix for polarization entangled photons out of a two-photon cascade in a single quantum dot
• Efficient Bipartite Entanglement Detection Scheme with a Quantum Adversarial Solver
• Lower Bounds for Attainable Fidelity in Entanglement Purification
• On the role of dealing with quantum coherence in amplitude amplification
• Quantum walks: decoherence and coin-flipping games
• Continuous-variable error correction for general Gaussian noises
• Quantum simulation of partially distinguishable boson sampling
• Quantum key distribution protocol with pseudorandom bases
• On the insecurity of quantum Bitcoin mining
• Doubly optimal parallel wire cutting without ancilla qubits
• Circuit Design for A Measurement-Based Quantum Carry-Lookahead Adder
• Entanglement Dynamics in Two-Qubit Open System Interacting with a Squeezed Thermal Bath via Quantum Nondemolition interaction
• Implementation of group-covariant POVMs by orthogonal measurements
• Time complexity analysis of quantum difference methods for linear high dimensional and multiscale partial differential equations
• Lackadaisical quantum walk for spatial search
• Complexity Classes of Equivalence Problems Revisited
• Production of multipartite entanglement for electron spins in quantum dots
• Orchestrated Trios: Compiling for Efficient Communication in Quantum Programs with 3-Qubit Gates
• A tree tensor network approach to simulating Shor's algorithm
• Real-time observation of picosecond-timescale optical quantum entanglement toward ultrafast quantum information processing
• Improving Quantum Query Complexity of Boolean Matrix Multiplication Using Graph Collision
• Phonon-mediated generation of quantum correlations between quantum dot qubits
• Calibrating the role of entanglement in variational quantum circuits
• Quantum Fluctuations in Large-Spin Molecules
• Dual Exponential Coupled Cluster Theory: Unitary Adaptation, Implementation in the Variational Quantum Eigensolver Framework and Pilot Applications
• Effective Compression of Quantum Braided Circuits Aided by ZX-Calculus
• Tracking Quantum Error Correction
• Mini-maximizing two qubit quantum computations
• Cyber-Physical Defense in the Quantum Era
• Compact Toffoli gate using weighted graph states
• Quantum Blockchain Based on Dimensional Lifting Generalized Gram-Schmidt Procedure
• Free-fermion descriptions of parafermion chains and string-net models
• Comparison of Cloud-Based Ion Trap and Superconducting Quantum Computer Architectures
• Making existing software quantum safe: a case study on IBM Db2
• Quantum Query Algorithms are Completely Bounded Forms
• Fast Quantum Methods for Optimization
• Harnessing Quantum Extreme Learning Machines for image classification
• A quantitative model for the effective decoherence of a quantum computer with imperfect unitary operations
• CMOS Quantum Computing: Toward A Quantum Computer System-on-Chip
• Hypothesis testing for an entangled state produced by spontaneous parametric down conversion
• Weightless neural network parameters and architecture selection in a quantum computer
• Quantum algorithms to solve the hidden shift problem for quadratics and for functions of large Gowers norm
• Qurzon: A Prototype for a Divide and Conquer Based Quantum Compiler
• Optimal quantum dataset for learning a unitary transformation
• Entanglement classification with matrix product states
• Algorithmic Cooling in Liquid State NMR
• Ancilla-based quantum simulation
• Micromotion-enabled improvement of quantum logic gates with trapped ions
• Quantum algorithm for optical template recognition with noise filtering
• Realizing nonadiabatic holonomic quantum computation beyond the three-level setting
• Polylogarithmic-depth controlled-NOT gates without ancilla qubits
• Wave Packets can Factorize Numbers
• Quantum-secured data transmission in urban fibre-optic communication lines
• Bounds on the power of proofs and advice in general physical theories
• Quantum heuristic algorithm for traveling salesman problem
• Simulating strongly interacting Hubbard chains with the Variational Hamiltonian Ansatz on a quantum computer
• Unidirectional quantum walks: evolution and exit times
• Solving search problems by strongly simulating quantum circuits
• Efficient Magic State Distillation by Zero-Level Distillation
• Prime Suspects in a Quantum Ladder
• Propagation of generalized Pauli errors in qudit Clifford circuits
• Quantum Entanglement and Quantum Computational Algorithms
• Quantum-assisted biomolecular modelling
• Importance of the spectral gap in estimating ground-state energies
• Time and Space Bounds for Reversible Simulation
• Quantum Gaussian process regression
• Experimental characterization of photonic fusion using fiber sources
• Quantum Annealing - Foundations and Frontiers
• Electronic Structure Calculations using Quantum Computing
• Adiabatic Quantum Kitchen Sinks for Learning Kernels Using Randomized Features
• Quantum Entanglement involved in Grover's and Shor's algorithms: the four-qubit case
• Criteria for the entanglement of composite systems of identical particles
• Quantum algorithm to distinguish Boolean functions of different weights
• Transition Slow-Down by Rydberg Interaction of Neutral Atoms and a Fast Controlled-NOT Quantum Gate
• Quantum computation of thermal averages in the presence of a sign problem
• Multi-Layered Security System: Integrating Quantum Key Distribution with Classical Cryptography to Enhance Steganographic Security
• Optimal computation with non-unitary quantum walks
• On the Effect of Quantum Interaction Distance on Quantum Addition Circuits
• Experimentally superposing two pure states with partial prior knowledge
• Implementing Scalable Boson Sampling with Time-Bin Encoding: Analysis of Loss, Mode Mismatch, and Time Jitter
• Doppler-free, Multi-wavelength Acousto-optic deflector for two-photon addressing arrays of Rb atoms in a Quantum Information Processor
• Minimal time required to charge a quantum system
• Team Decision Problems with Classical and Quantum Signals
• Quantum Database Search can do without Sorting
• Weakly Flux-Tunable Superconducting Qubit
• Measurement-based quantum computation and undecidable logic
• Robust Qubit Mapping Algorithm via Double-Source Optimal Routing on Large Quantum Circuits
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• The entanglement membrane in exactly solvable lattice models
• Shaping photons: quantum computation with bosonic cQED
• Classification of Hybrid Quantum-Classical Computing
• Quantified Effects of the Laser Seeding Attack in Quantum Key Distribution
• Efficient implementations of the Quantum Fourier Transform: an experimental perspective
• An environment-mediated quantum deleter
• Quantum independent set problem and non-abelian adiabatic mixing
• Simulation Paths for Quantum Circuit Simulation with Decision Diagrams
• Quantum control in spintronics
• A Quantum-Classical Collaborative Training Architecture Based on Quantum State Fidelity
• Classical-like behavior in quantum walks with inhomogeneous, time-dependent coin operators
• Quantum Computing without Quantum Computers: Database Search and Data Processing Using Classical Wave Superposition
• Tracking quantum coherence in polariton condensates with time-resolved tomography
• Quantum cryptography beyond key distribution: theory and experiment
• Shor's quantum algorithm using electrons in semiconductor nanostructures
• Multipartite Entanglement Evolution Under Separable Operations
• Linear optical demonstration of quantum speed-up with a single qudit
• Fast graph operations in quantum computation
• Kochen-Specker Theorem for Finite Precision Spin One Measurements
• Hybrid Quantum Vision Transformers for Event Classification in High Energy Physics
• A search for quantum coin-flipping protocols using optimization techniques
• QEnclave -- A practical solution for secure quantum cloud computing
• Virtual Parallel Computing and a Search Algorithm using Matrix Product States
• Spin-Valley Qubit Dynamics In Exchange Coupled Silicon Quantum Dots
• Shor's Algorithm Does Not Factor Large Integers in the Presence of Noise
• Implementation of quantum compression on IBM quantum computers
• A Schematic Definition of Quantum Polynomial Time Computability
• Efficient Construction of a Control Modular Adder on a Carry-Lookahead Adder Using Relative-phase Toffoli Gates
• A quantum encryption design featuring confusion, diffusion, and mode of operation
• Complexity of quantum state verification in the quantum linear systems problem
• Security-proof framework for two-way Gaussian quantum-key-distribution protocols
• Conditional Born machine for Monte Carlo event generation
• Perfect Computational Equivalence between Quantum Turing Machines and Finitely Generated Uniform Quantum Circuit Families
• Deterministic nonlinear gates with oscillators mediated by a qubit
• On-Premises Superconducting Quantum Computer for Education and Research
• Quantum Dating Market
• Quantum computing with superconducting circuits in the picosecond regime
• Variational quantum solutions to the Shortest Vector Problem
• Oblivious transfer based on quantum state computational distinguishability
• Pauli path simulations of noisy quantum circuits beyond average case
• Symmetric blind information reconciliation and hash-function-based verification for quantum key distribution
• Interferometric computation beyond quantum theory
• Error-Resistant Distributed Quantum Computation in Trapped Ion Chain
• Mitigating noise in digital and digital-analog quantum computation
• Interconnect Fabrics for Multi-Core Quantum Processors: A Context Analysis
• Hidden Translation and Translating Coset in Quantum Computing
• Optimal phase estimation in quantum networks
• Variational determination of multi-qubit geometrical entanglement in NISQ computers
• Bounds of concurrence and their relation with fidelity and frontier states
• Photonic Realization of a Quantum Finite Automaton
• Wave-Style Token Machines and Quantum Lambda Calculi
• Entanglement without nonlocality
• Robustness of geometric phase under parametric noise
• Strong microwave photon-magnon coupling in multiresonant dielectric antennas (Perspective)
• Readout error mitigated quantum state tomography tested on superconducting qubits
• Quantum direct communication protocol using recurrence in k-cycle quantum walk
• Quantum chaos in the spectrum of operators used in Shor's algorithm
• Introducing Non-Linear Activations into Quantum Generative Models
• Global Heisenberg scaling in noisy and practical phase estimation
• Complexity of Supersymmetric Systems and the Cohomology Problem
• Optimizing the deployment of quantum key distribution switch-based networks
• Detecting three-qubit bound MUB diagonal entangled states via Nonlinear optimal entanglement witnesses
• Gates for the Kane Quantum Computer in the Presence of Dephasing
• Extending Regev's factoring algorithm to compute discrete logarithms
• Quantum Searchable Encryption for Cloud Data Based on Full-Blind Quantum Computation
• Fourier Transform of the Orbital Angular Momentum of a Single Photon
• Classical Coding Problem from Transversal $T$ Gates
• Tensor rank and entanglement of pure quantum states
• Interaction-free quantum computation
• Implementing two-photon three-degree-of-freedom hyper-parallel controlled phase flip gate through cavity-assisted interactions
• Optimizing local protocols implementing nonlocal quantum gates
• Coherence, Asymmetry, and Quantum Macroscopicity
• A DMI guide to magnets micro-world
• Single-Step Parity Check Gate Set for Quantum Error Correction
• Layer by layer generation of cluster states
• Solving the Shortest Vector Problem in Lattices Faster Using Quantum Search
• Neural network decoder for near-term surface-code experiments
• Optimal Ancilla-free Pauli+V Circuits for Axial Rotations
• Qcompiler: quantum compilation with CSD method
• Optimal probabilistic distillation of quantum coherence
• Space-bounded Church-Turing thesis and computational tractability of closed systems
• QCWAVE, a Mathematica quantum computer simulation update
• A simple trapped-ion architecture for high-fidelity Toffoli gates
• Assisted harvesting and catalysis of coherence from scalar fields
• Digital-analog quantum simulation of fermionic models
• Hardware-Conscious Optimization of the Quantum Toffoli Gate
• Non adiabatic quantum search algorithms
• Wave-particle duality employing quantum coherence in superposition with non-orthogonal pointers
• Geometric quantum gates via dark paths in Rydberg atoms
• A Toffoli Gate Decomposition via Echoed Cross-Resonance Gates
• Entanglement Classification with Algebraic Geometry
• Quantum entanglement in the NMR implementation of the Deutsch-Jozsa algorithm
• Quantum verification of NP problems with single photons and linear optics
• The complex architecture of primes and natural numbers
• Recursive multiport schemes for implementing quantum algorithms with photonic integrated circuits
• Observation of exceptional point in a PT broken non-Hermitian system simulated using a quantum circuit
• Quantum divisibility test and its application in mesoscopic physics
• Non-Unitary Quantum Machine Learning
• Improvement of a quantum broadcasting multiple blind signature scheme based on quantum teleportation
• Efficient realization of quantum primitives for Shor's algorithm using PennyLane library
• The future of secure communications: device independence in quantum key distribution
• Experimental entropic test of state-independent contextuality via single photons
• On Quantum Algorithms for Noncommutative Hidden Subgroups
• Unified framework for quantumness -- coherence, discord, and entanglement
• Leakage Suppression for Holonomic Quantum Gates
• Modified Grover's algorithm for an expectation value quantum computer
• Optimizing Gate Decomposition for High-Level Quantum Programming
• Efficient and robust detection of multipartite Greenberger-Horne-Zeilinger-like states
• Applications of Universal Parity Quantum Computation
• Optimal Observables for Minimum-Error State Discrimination in General Probabilistic Theories
• Modular Quantum-to-Quantum Bernoulli Factory in an Integrated Photonic Processor
• SchWARMA: A model-based approach for time-correlated noise in quantum circuits
• Mathematical Foundations of Holonomic Quantum Computer
• Simulation of Quantum Computing on Classical Supercomputers
• Implementations of more general solid-state (SWAP)${}^{1/m}$ and controlled-(swap)${}^{1/m}$ gates
• Optical implementations, oracle equivalence, and the Bernstein-Vazirani algorithm
• Non-equilibrium quantum thermodynamics of a particle trapped in a controllable time-varying potential
• Hybrid Scheme of Post-Quantum Cryptography and Elliptic-Curve Cryptography for Certificates -- A Case Study of Security Credential Management System in Vehicle-to-Everything Communications
• $i$-QER: An Intelligent Approach towards Quantum Error Reduction
• State complexity and quantum computation
• Resource analysis of quantum algorithms for coarse-grained protein folding models
• Highly optimized quantum circuits synthesized via data-flow engines
• The role of data embedding in equivariant quantum convolutional neural networks
• Usefulness of an enhanced Kitaev phase-estimation algorithm in quantum metrology and computation
• Universal distributed quantum computing on superconducting qutrits with dark photons
• A proposal for the implementation of quantum gates in an optomechanical system via phonon blockade
• Superradiance as a Source of Collective Decoherence in Quantum Computers
• Adaptive variational preparation of the Fermi-Hubbard eigenstates
• Delayed commutation in quantum computer networks
• Continuous-variable controlled-Z gate using an atomic ensemble
• Exact dynamics for optical coherent-state qubits subject to environment noise
• The quantum cat map on the modular discretization of extremal black hole horizons
• Quantum Computation of Eigenvalues within Target Intervals
• Quantum phase transition in the $Z_3$ Kitaev-Potts model
• Practical quantum multiparty signatures using quantum-key-distribution networks
• Quantum Speedup of the Dispersion and Codebook Design Problems
• Invariance in quantum walks with time-dependent coin operators
• Implementing fault-tolerant non-Clifford gates using the [[8,3,2]] color code
• Quantum algorithms for matrix operations and linear systems of equations
• Adiabatic quantum algorithm for artificial graphene
• Quantum information processing: The case of vanishing interaction energy
• Disorder-assisted graph coloring on quantum annealers
• Continuously decoupling a Hadamard quantum gate from independent classes of errors
• Classical Cryptographic Protocols in a Quantum World
• Quantum Internet under random breakdowns and intentional attacks
• Practical cryptographic strategies in the post-quantum era
• Recycling qubits in near-term quantum computers
• Dynamical quantum phase transitions
• Exploring the optimality of approximate state preparation quantum circuits with a genetic algorithm
• Faster quantum searching with almost arbitrary operators
• Universal Test for Quantum One-Way Permutations
• Optimal control of hybrid qubits: implementing the quantum permutation algorithm
• Quantum Information Driven Ansatz (QIDA): shallow-depth empirical quantum circuits from Quantum Chemistry
• ZKCM: a C++ library for multiprecision matrix computation with applications in quantum information
• A Hybrid Classical Quantum Computing Approach to the Satellite Mission Planning Problem
• Quantum Private Comparison over noisy channels
• Analyzing many-body localization with a quantum computer
• Quantum autoencoders for image classification
• Experimentally demonstrating indefinite causal order algorithms to solve the generalized Deutsch's problem
• Quantum Probabilistic Subroutines and Problems in Number Theory
• Probabilistic storage and retrieval of qubit phase gates
• Quantum Sensor Network Algorithms for Transmitter Localization
• Nonadiabatic geometric quantum computation with shortened path on superconducting circuits
• X.509 Information Security Certification Based on Post-Quantum Cryptography
• Quantum outage probability for time-varying quantum channels
• Exploring Quantum Control Landscape and Solution Space Complexity through Dimensionality Reduction & Optimization Algorithms
• Certified quantum gates
• Enhancing Quantum Security over Federated Learning via Post-Quantum Cryptography
• Advantage of Quantum Theory Over Non-classical Models of Communication
• Route-Forcing: Scalable Quantum Circuit Mapping for Scalable Quantum Computing Architectures
• One-step implementation of the genuine Fredkin gate in high-$Q$ coupled three-cavity arrays
• Distributed Quantum Computing: Applications and Challenges
• The Present and Future of Discrete Logarithm Problems on Noisy Quantum Computers
• The phase/state duality in reversible circuit design
• Odd orders in Shor's factoring algorithm
• Superpolynomial speedups based on almost any quantum circuit
• Quantum Advantage and Y2K Bug: Comparison
• Continuous-time dynamics and error scaling of noisy highly-entangling quantum circuits
• Implementable Hybrid Quantum Ant Colony Optimization Algorithm
• Analytical formulation of the second-order derivative of energy for orbital-optimized variational quantum eigensolver: application to polarizability
• Information processing using three-qubit and qubit-qutrit encodings of noncomposite quantum systems
• Emergence of noise-induced barren plateaus in arbitrary layered noise models
• Many Worlds, the Cluster-state Quantum Computer, and the Problem of the Preferred Basis
• Decoherence and relaxation of a qubit coupled to an Ohmic bath directly and via an intermediate harmonic oscillator
• SPHINCS${}^{+}$ post-quantum digital signature scheme with Streebog hash function
• Tsallis relative $\alpha$ entropy of coherence dynamics in Grover's search algorithm
• Scalable quantum computing model in the circuit-QED lattice with circulator function
• Integrated Analysis of Performance and Resource of Large-Scale Quantum Computing
• Entangling remote microwave quantum computers with hybrid entanglement swap and variational distillation
• Cross-verification of independent quantum devices
• Bell-state preparation for electron spins in a semiconductor double quantum dot
• Ising model formulation for highly accurate topological color codes decoding
• Post-Quantum Cryptography Neural Network
• Quantum Slide and NAND Tree on a Photonic Chip
• Circuit Partitioning for Multi-Core Quantum Architectures with Deep Reinforcement Learning
• Measurement Crosstalk Errors in Cloud-Based Quantum Computing
• Hybrid quantum computing with ancillas
• Classicality of quantum information processing
• Softening of Majorana edge states by long-range couplings
• Algebraic Characterization of CNOT-Based Quantum Circuits with its Applications on Logic Synthesis
• Security analysis of the W-OTS${}^{+}$ signature scheme: Updating security bounds
• The Basis of Design Tools for Quantum Computing: Arrays, Decision Diagrams, Tensor Networks, and ZX-Calculus
• Universal superposition of arbitrary orthogonal states
• Error rate reduction of single-qubit gates via noise-aware decomposition into native gates
• Variational secure cloud quantum computing
• Hybrid Genetic Optimisation for Quantum Feature Map Design
• A hybrid quantum-classical approach for inference on restricted Boltzmann machines
• The T-Complexity Costs of Error Correction for Control Flow in Quantum Computation
• Universal classical optical computing inspired by quantum information process
• Analogue algorithm for parallel factorization of an exponential number of large integers II. Optical implementation
• Quantum random walks on congested lattices
• Limitations of Classically-Simulable Measurements for Quantum State Discrimination
• Tierkreis: A Dataflow Framework for Hybrid Quantum-Classical Computing
• Detecting brute-force attacks on cryptocurrency wallets
• Berry-phase-based quantum gates assisted by transitionless quantum driving
• Simulating noise on a quantum processor: interactions between a qubit and resonant two-level system bath
• Quantum Fourier transform and tomographic Renyi entropic inequalities
• Virtual distillation with noise dilution
• A System F accounting for scalars
• Design of quantum Fourier transforms and quantum algorithms by using circulant Hamiltonians
• Using continuous measurement to protect a universal set of quantum gates within a perturbed decoherence-free subspace
• Image Classification with Rotation-Invariant Variational Quantum Circuits
• Mitigating Errors on Superconducting Quantum Processors through Fuzzy Clustering
• Scalable simulation of non-equilibrium quantum dynamics via classically optimised unitary circuits
• Implementations of two-photon four-qubit Toffoli and Fredkin gates assisted by nitrogen-vacancy centers
• A scalable method for demonstrating the Deutsch-Jozsa and Bernstein-Vazirani algorithms using cluster states
• Guided Quantum Compression for High Dimensional Data Classification
• Improving threshold for fault-tolerant color code quantum computing by flagged weight optimization
• Quantum Control Machine: The Limits of Control Flow in Quantum Programming
• An entangling-probe attack on Shor's algorithm for factorization
• Efficient quantum computing with weak measurements
• What determines the ultimate precision of a quantum computer?
• Hidden Symmetry Subgroup Problems
• An Accurate and Efficient Analytic Model of Fidelity Under Depolarizing Noise Oriented to Large Scale Quantum System Design
• Continuous-Time Quantum Walks on Directed Bipartite Graphs
• Elucidating Dicke Superradiance by quantum uncertainty
• Loop Feynman integration on a quantum computer
• Robust nonadiabatic geometric quantum computation by dynamical correction
• Two-qubit gates for decoherence-free qubits using a ring exchange interaction
• Combining Decentralized IDentifiers with Proof of Membership to Enable Trust in IoT Networks
• Quantum Advantages in (n,d)->1 Random Access Codes
• Quantifying fermionic nonlinearity of quantum circuits
• A family of sure-success quantum algorithms for solving a generalized Grover search problem
• Homomorphic Encryption Based on Post-Quantum Cryptography
• Modeling Short-Range Microwave Networks to Scale Superconducting Quantum Computation
• Transmission Estimation at the Fundamental Quantum Cramér-Rao Bound with Macroscopic Quantum Light
• Interplay between emission wavelength and s-p splitting in MOCVD-grown InGaAs/GaAs quantum dots emitting above 1.3 μm
• Introducing Quantum Information and Computation to a Broader Audience with MOOCs at OpenHPI
• Entangling capacity of global phases and implications for Deutsch-Jozsa algorithm
• Unsupervised Event Classification with Graphs on Classical and Photonic Quantum Computers
• Expressive Quantum Supervised Machine Learning using Kerr-nonlinear Parametric Oscillators
• Unextendible entangled bases and more nonlocality with less entanglement
• Stochastic optimal control formalism for an open quantum system
• A Logarithmic Bayesian Approach to Quantum Error Detection
• Engineered Decoherence: Characterization and Suppression
• Error estimation in current noisy quantum computers
• Optimal environment localization
• Quantum search degeneration under amplitude noise in queries to the oracle
• Ancilla-driven instantaneous quantum polynomial time circuit for quantum supremacy
• Quantum search with resonances
• A Unified Hardware Accelerator for Fast Fourier Transform and Number Theoretic Transform
• Message passing in fault tolerant quantum error correction
• Adiabatic graph-state quantum computation
• The Prime state and its quantum relatives
• Molecular Realization of a Quantum NAND Tree
• High-Capacity Quantum Associative Memories
• Analogue algorithm for parallel factorization of an exponential number of large integers I. Theoretical description
• Shor's Factoring Algorithm and Modular Exponentiation Operators
• Quantum Computing for Discrete Optimization: A Highlight of Three Technologies
• Reconstructing Strings from Substrings with Quantum Queries
• Lower Bounds on Stabilizer Rank
• Everything You Always Wanted to Know About Quantum Circuits
• Characterization of quantum states based on creation complexity
• Circuit Design for Clique Problem and Its Implementation on Quantum Computer
• Cycle discrete-time quantum walks on a noisy quantum computer
• Two-tape finite automata with quantum and classical states
• A Precise Error Bound for Quantum Phase Estimation
• Resonant Quantum Search with Monitor Qubits
• Quantum and classical query complexities of functions of matrices
• Parameter-Parallel Distributed Variational Quantum Algorithm
• Using Quantum Switches to Mitigate Noise in Grover's Search Algorithm
• Censorship of Quantum Resources in Quantum Networks
• Universal quantum computation with symmetric qubit clusters coupled to an environment
• Quantum walk with a general coin: Exact solution and asymptotic properties
• Approximate distillation of quantum coherence
• Demonstration of Algorithmic Quantum Speedup for an Abelian Hidden Subgroup Problem
• A multiple-circuit approach to quantum resource reduction with application to the quantum lattice Boltzmann method
• Characteristics and benchmarks of entanglement of mixed states -- the two qubit case
• Quantum Information reveals that orbital-wise correlation is essentially classical in Natural Orbitals
• Dirac formulation for universal quantum gates and Shor's integer factorization in high-frequency electric circuits
• Security and Fairness in Multi-Party Quantum Secret Sharing Protocol
• Quantum Machine Learning and its Supremacy in High Energy Physics
• Quantum CPU and Quantum Algorithm
• On quantum invariants and the graph isomorphism problem
• Enhancement of nonclassical properties of two qubits via deformed operators
• Coherence dynamics in quantum algorithm for linear systems of equations
• Probing nonlinear adiabatic paths with a universal integrator
• Simulated Quantum Computation of Global Minima
• Accelerating Shor's Factorization Algorithm on GPUs
• Quantum Property Testing of Group Solvability
• A complete Classification of Quantum Public-key Encryption Protocols
• Calculating the Green's function of two-site Fermionic Hubbard model in a photonic system
• Surface Code Design for Asymmetric Error Channels
• Quantum Optimization for Combinatorial Searches
• Statistical Analysis on Random Quantum Sampling by Sycamore and Zuchongzhi Quantum Processors
• Error mitigation, optimization, and extrapolation on a trapped ion testbed
• Optimization of probabilistic quantum search algorithm with a priori information
• Efficient and quantum-adaptive machine learning with fermion neural networks
• Quantum Privacy-preserving Two-party Circle Intersection Protocol Based on Phase-encoded Query
• Authenticated Multiparty Quantum Key Agreement for Optical-Ring Quantum Communication Networks
• Efficient Bayesian phase estimation using mixed priors
• Quantum Data Centers in the Presence of Noise
• Keyless Semi-Quantum Point-to-point Communication Protocol with Low Resource Requirements
• Ancilla-free Quantum Adder with Sublinear Depth
• Entanglement theory with limited computational resources
• Quantum walk search on a two-dimensional grid with extra edges
• 1-out-of-2 Oblivious transfer using flawed Bit-string quantum protocol
• No-iteration of unknown quantum gates
• Quantum computation mediated by ancillary qudits and spin coherent states
• Sending classical information through relativistic quantum channels
• Purification-based metric to measure the distance between quantum states and processes
• Qompress: Efficient Compilation for Ququarts Exploiting Partial and Mixed Radix Operations for Communication Reduction
• Efficient classical computation of expectation values in a class of quantum circuits with an epistemically restricted phase space representation
• On the efficiency of Hamiltonian-based quantum computation for low-rank matrices
• Sufficient and Necessary Condition of Separability for Generalized Werner States
• Decoherence induced by squeezing control errors in optical and ion trap holonomic quantum computations
• Neural Networks Architecture Evaluation in a Quantum Computer
• Decoherence induced by squeezing control errors in optical and ion trap holonomic quantum computations II
• Measured Quantum Fourier Transform of 1024 Qubits on Fiber Optics
• Spin-momentum entanglement in a Bose-Einstein condensate
• Five-Partite Entanglement Generation in A High-Q Microresonator
• Optimal Lewenstein-Sanpera decomposition of two-qubit states using Semidefinite Programming
• Quaternion representation and symplectic spin tomography
• The speed of Markovian relaxation towards the ground state
• Detection of the quantum states containing at most $k-1$ unentangled particles
• Non-Randomness of Google's Quantum Supremacy Benchmark
• Numerical Analysis of Boosting Scheme for Scalable NMR Quantum Computation
• Experimental demonstration of quantum leader election in linear optics
• In-Field Comparison between G.652 and G.655 Optical Fibers for Polarization-Based Quantum Key Distribution
• Coherence filtration under strictly incoherent operations
• Gravitational effects on entangled states and interferometer with entangled atoms
• Measurement based 2-qubit unitary gates for pairs of Nitrogen-Vacancy centers in diamond
• Expected Optimal Time for the NMR Implementation of Shor's Algorithm for Factorising 15
• Double Nuclear Spin Relaxation in Hybrid Quantum Hall Systems
• Resource-efficient utilization of quantum computers
• pc-COP: An Efficient and Configurable 2048-p-Bit Fully-Connected Probabilistic Computing Accelerator for Combinatorial Optimization
• Optimization strategies in WAHTOR algorithm for quantum computing empirical ansatz: a comparative study
• Teleportation with indistinguishable particles
• On Certified Randomness from Fourier Sampling or Random Circuit Sampling
• Testing Boolean Functions Properties
• Controlled remote implementation of operations via graph states
• First-Order Crosstalk Mitigation in Parallel Quantum Gates Driven With Multi-Photon Transitions
• QSlack: A slack-variable approach for variational quantum semi-definite programming
• A method of enciphering quantum states
• Dilution of error in digital Hamiltonian simulation
• Encoding quantum bits in bound electronic states of a graphene nanotorus
• Hybrid noise protection of logical qubits for universal quantum computation
• Compressed quantum error mitigation
• A Computational Model for Quantum Measurement
• Criterion for a state to be distillable via stochastic incoherent operations
• All-electric single electron spin initialization
• On the success probability of quantum order finding
• Practical intractability: a critique of the hypercomputation movement
• A representation of complex rational numbers in quantum mechanics
• Discrimination of unitary transformations in the Deutsch-Jozsa algorithm
• Integrated information storage and transfer with a coherent magnetic device
• Quantum revivals of non Rabi type in Jaynes-Cummings model
• Detecting non-Abelian statistics of topological states on a chain of superconducting circuits
• Quantifiable simulation of quantum computation beyond stochastic ensemble computation
• Quantum Phase Estimation with an Arbitrary Number of Qubits
• Quantum Phase Estimation by Compressed Sensing
• Cryptography in a Quantum World
• A comparison of three ways to measure time-dependent densities with quantum simulators
• Causality Constraint on Circuit Complexity from $COSMOEFT$
• Polynomial Interpolation and Identity Testing from High Powers over Finite Fields
• Practical sampling schemes for quantum phase estimation
• Joint Wire Cutting with Non-Maximally Entangled States
• Average-Case Verification of the Quantum Fourier Transform Enables Worst-Case Phase Estimation
• Quantum algorithms for calculating determinant and inverse of matrix and solving linear algebraic systems
• Superselection rules and bosonic quantum computational resources
• Holonomic swap and controlled-swap gates of neutral atoms via selective Rydberg pumping
• Comparing planar quantum computing platforms at the quantum speed limit
• Quantum framework for Reinforcement Learning: Integrating Markov decision process, quantum arithmetic, and trajectory search
• Lower Bounds of Quantum Search for Extreme Point
• Computing discrete logarithm by interval-valued paradigm
• Asymptotic security analysis of teleportation based quantum cryptography
• Unbreakable and breakable quantum censorship
• Quantum Optical Convolutional Neural Network: A Novel Image Recognition Framework for Quantum Computing
• Quantum Multi-Solution Bernoulli Search with Applications to Bitcoin's Post-Quantum Security
• Unconditional quantum magic advantage in shallow circuit computation
• An algorithm for simulating the Ising model on a type-II quantum computer
• Cascaded variational quantum eigensolver algorithm
• Synchronization for Fault-Tolerant Quantum Computers
• Characterizing the superposition of arbitrary random quantum states and a known quantum state
• Selective Noise Resistant Gate
• Single-qubit rotation algorithm with logarithmic Toffoli count and gate depth
• Engineering Bosonic Codes with Quantum Lattice Gates
• On the Impact of Classical and Quantum Communication Networks Upon Modular Quantum Computing Architecture System Performance
• Sumcheck-based delegation of quantum computing to rational server
• Quantum Kolmogorov Complexity and Information-Disturbance Theorem
• On the Probability of Generating a Lattice
• Catalytic Transformation from Computationally Universal to Strictly Universal Measurement-Based Quantum Computation
• The Security Performance Analysis of Blockchain System Based on Post-Quantum Cryptography -- A Case Study of Cryptocurrency Exchanges
• On the role of coherence for quantum computational advantage
• Numerical analyses of emission of a single-photon pulse based on single-atom cavity quantum electrodynamics
• Grover's Quantum Search Algorithm and Diophantine Approximation
• Quantum-Logic Synthesis of Hermitian Gates
• Entanglement and Adiabatic Quantum Computation
• Fast atom-photon entangling gates with a superconducting coplanar waveguide
• Compact Multi-Threshold Quantum Information Driven Ansatz For Strongly Interactive Lattice Spin Models
• Entanglement-assisted authenticated BB84 protocol
• Distributed Symmetric Key Establishment: a Scalable Quantum-Safe Key Distribution Protocol
• Quantum noise modeling through Reinforcement Learning
• Isolated Eigenvalues of the Ferromagnetic Spin-J XXZ Chain with Kink Boundary Conditions
• NISQ-ready community detection based on separation-node identification
• Optimal compression of constrained quantum time evolution
• Maximal Elements of Quantum Communication
• Blindly Factorizing 21 Quantumly
• Simulating spin dynamics with quantum computers
• Quantum Decomposition Algorithm For Master Equations of Stochastic Processes: The Damped Spin Case
• Optimized numerical gradient and Hessian estimation for variational quantum algorithms
• Resource reduction via repeaters in entanglement distribution
• Efficient Implementation and the Product State Representation of Numbers
• Coherence and entanglement dynamics in Shor's algorithm
• Hacking Cryptographic Protocols with Advanced Variational Quantum Attacks
• Quantum Local Differential Privacy and Quantum Statistical Query Model
• Measurement-based interleaved randomised benchmarking using IBM processors
• Scalable quantum computation architecture using always-on Ising interactions via quantum feedforward
• Constructing Local Bases for a Deep Variational Quantum Eigensolver for Molecular Systems
• Computational complexity of exterior products and multi-particle amplitudes of non-interacting fermions in entangled states
• Limitations of Noisy Quantum Devices in Computational and Entangling Power
• Thermodynamic optimization of quantum algorithms: On-the-go erasure of qubit registers
• Quantum Reservoir Computing for Realized Volatility Forecasting
• Five Starter Pieces: Quantum Information Science via Semi-definite Programs
• Error Correction for Reliable Quantum Computing
• Expanding variational quantum eigensolvers to larger systems by dividing the calculations between classical and quantum hardware
• On solving systems of diagonal polynomial equations over finite fields
• Noise reducing encoding strategies for spin chains
• Maximal Entanglement and Teleportation using an Arthurs-Kelly type Interaction for Qubits
• Heuristic for estimation of multiqubit genuine multipartite entanglement
• Quantum Communication and Decoherence
• Fast nuclear-spin entangling gates compatible with large-scale atomic arrays
• Quantum communications in continuous variable systems
• Coherence as resource in scattering quantum walk search on complete graph
• Qubit Optimized Quantum Implementation of SLIM
• Faster Coherent Quantum Algorithms for Phase, Energy, and Amplitude Estimation
• Quantum eigenvalue processing
• State-independent robust heat-bath algorithmic cooling of nuclear spins
• Distribution and generation of quantum coherence for Gaussian states in de Sitter space
• Experimental semi-autonomous eigensolver using reinforcement learning
• Quantum Feasibility Labeling for NP-complete Vertex Coloring Problem
• Efficiently verifiable quantum advantage on near-term analog quantum simulators
• A lower bound on the quantum query complexity of read-once functions
• PQC-LEO: An Evaluation Framework for Post-Quantum Cryptographic Algorithms
• A unifying separability criterion based on extended correlation tensor
• Selecting Efficient Phase Estimation With Constant-Precision Phase Shift Operators
• Qudit low-density parity-check codes
• MDS, Hermitian Almost MDS, and Gilbert-Varshamov Quantum Codes from Generalized Monomial-Cartesian Codes
• Toolchain for Faster Iterations in Quantum Software Development
• A multiprecision C++ library for matrix-product-state simulation of quantum computing: Evaluation of numerical errors
• Implementation of Shor Algorithm: Factoring a 4096-Bit Integer Under Specific Constraints
• Distributed Realization of Color Codes for Quantum Error Correction
• Coherence as a resource for phase estimation
• Graph state extraction from two-dimensional cluster states
• Dead Gate Elimination
• Simplify proposal for realizing multiqubit tunable phase gate in circuit QED
• Dynamics and computation in linear open quantum walks
• No Practical Quantum Broadcasting: Even Virtually
• Quantum Interference in Atomic Systems
• The Jacobi Factoring Circuit: Quantum Factoring with Near-Linear Gates and Sublinear Space and Depth
• Surpassing the loss-noise robustness trade-off in quantum key distribution
• Cavity QED implementation of the multi-qubit refined Deutsch-Jozsa algorithm
• Correspondence between maximally entangled states in discrete and Gaussian regimes
• Modelling for Quantum Error Mitigation
• Universal graph representation of stabilizer codes
• Geometric constructions of generalized dual-unitary circuits from biunitarity
• Tunneling Qubit Operation on a Protected Josephson Junction Array
• Individual attacks with generalized discrimination and inadequacy of some information measures
• Classifying Entanglement by Algebraic Geometry
• Superconducting qubits in the millions: the potential and limitations of modularity
• Efficient Quantum Circuit Encoding of Object Information in 2D Ray Casting
• State-independent geometric quantum gates via nonadiabatic and noncyclic evolution
• A high-level comparison of state-of-the-art quantum algorithms for breaking asymmetric cryptography
• Quantum Software Ecosystem Design
• Implementing a Fast Unbounded Quantum Fanout Gate Using Power-Law Interactions
• Measurement of an integral of a classical field with a single quantum particle
• Unbounded quantum-classical separation in sample complexity for sphere center finding
• A coherence-witnessing game and applications to semi-device-independent quantum key distribution
• QECOOL: On-Line Quantum Error Correction with a Superconducting Decoder for Surface Code
• Algorithm for initializing a generalized fermionic Gaussian state on a quantum computer
• Detecting Entanglement Generating Circuits in Cloud-Based Quantum Computing
• Estimating the Number of States via the Rodeo Algorithm for Quantum Computation
• A quantum algorithm for linear autonomous differential equations via Padé approximation
• Symmetry-assisted adversaries for quantum state generation
• Derandomization of quantum algorithm for triangle finding
• Quantum clustering and jet reconstruction at the LHC
• Suppressing classical noise in the accelerated geometric phase gate by optimized dynamical decoupling
• Integer factorization as subset-sum problem
• Constant-time Quantum Algorithm for Homology Detection in Closed Curves
• Dynamical-Corrected Nonadiabatic Geometric Quantum Computation
• Determining probability density functions with adiabatic quantum computing
• Decoherence of encoded quantum registers
• Macroproperties vs. Microstates in the Classical Simulation of Critical Phenomena in Quench Dynamics of 1D Ising Models
• Entanglement of weighted graphs uncovers transitions in variable-range interacting models
• Photonic variational quantum eigensolver for NISQ-compatible quantum technology
• Factoring an integer with three oscillators and a qubit
• On The Stabilizer Formalism And Its Generalization
• Molecular architectures based on pi-conjugated block copolymers for global quantum computation
• Post-Quantum Security: Origin, Fundamentals, and Adoption
• Utilizing Quantum Processor for the Analysis of Strongly Correlated Materials
• Accelerating Quantum Eigensolver Algorithms With Machine Learning
• Fiber Bundle Fault Tolerance of GKP Codes
• Quantum linear system algorithm with optimal queries to initial state preparation
• Symmetry-enhanced Counterdiabatic Quantum Algorithm for Qudits
• Universal approximation of continuous functions with minimal quantum circuits
• Optimal quantum resource generation in coupled transmons immersed in Markovian baths
• On completely factoring any integer efficiently in a single run of an order finding algorithm
• A short review on the maximum clique problem algorithms with classical, AI, and quantum methods
• An Entanglement Monotone from the Contextual Fraction
• Modave Lectures on Quantum Information: An Introduction to Channels and Applications to Black Holes and AdS/CFT
• A group law on the projective plane with applications in Public Key Cryptography
• When Quantum and Classical Models Disagree: Learning Beyond Minimum Norm Least Square
• The Quantum Approximate Optimization Algorithm Can Require Exponential Time to Optimize Linear Functions
• Quantum state tomography as a numerical optimization problem
• Reductive Quantum Phase Estimation
• How does post-quantum cryptography affect Central Bank Digital Currency?
• State of practice: evaluating GPU performance of state vector and tensor network methods
• On Statistical Query Sampling and NMR Quantum Computing
• Efficient Construction of Functional Representations for Quantum Algorithms
• The localization of quantum random walks on sierpinski gaskets
• Semiclassical Shor's Algorithm
• QOptCraft: A Python package for the design and study of linear optical quantum systems
• Multipartite Mixed Maximally Entangled States: Mixed States with Entanglement 1
• Compilation Techniques for Spin Qubits in a Shuttling Bus Architecture
• Implementing the sine transform of fermionic modes as a tensor network
• Blockwise Optimization for Projective Variational Quantum Dynamics (BLOP-VQD): Algorithm and Implementation for Lattice Systems
• Energy Spectrum and Exact Cover in an Extended Quantum Ising Model
• Quantum Algorithms for Finding Constant-sized Sub-hypergraphs
• Fast Quantum Amplitude Encoding of Typical Classical Data
• Simulating Quantum Circuits with Tree Tensor Networks using Density-Matrix Renormalization Group Algorithm
• Invariance in Quantum Walks
• Simple quantum password checking
• The Parity Flow Formalism: Tracking Quantum Information Throughout Computation
• Robustness of optimal probabilistic storage and retrieval of unitary channels to noise
• Performance Evaluations of Signed and Unsigned Noisy Approximate Quantum Fourier Arithmetic
• Guided Graph Compression for Quantum Graph Neural Networks
• Hetero-Junction of Two Quantum Wires: Critical Line and Duality
• Resource-efficient shadow tomography using equatorial stabilizer measurements
• Quantum Circuit Unoptimization
• Quantum advantage for distributed computing without communication
• Finding eigenvectors with a quantum variational algorithm
• Rewindable Quantum Computation and Its Equivalence to Cloning and Adaptive Postselection
• Twenty years of quantum contextuality at USTC
• Reconsidering Mermin's "In praise of measurement"
• Efficient Syndrome Decoder for Heavy Hexagonal QECC via Machine Learning
• Experimental characterization of the hierarchy of quantum correlations in top quark pairs
• Robust Quantum Circuit for Clique Problem with Intermediate Qudits
• Resource Efficient Boolean Function Solver on Quantum Computer
• Robustness of optimized numerical estimation schemes for noisy variational quantum algorithms
• A Synthesis of Hidden Subgroup Quantum Algorithms and Quantum Chemical Dynamics
• Averaging gate approximation error and performance of Unitary Coupled Cluster ansatz in Pre-FTQC Era
• There Are No Post-Quantum Weakly Pseudo-Free Families in Any Nontrivial Variety of Expanded Groups
• Two-dimensional quantum central limit theorem by quantum walks
• Similarity Calculation Based on Homomorphic Encryption
• Quantum algorithm based on the $\epsilon$-random linear disequations for the continuous hidden shift problem
• Quantum Algorithm for Testing Graph Completeness
• Quantum Process Randomness
• Phase transitions in (2 + 1)D subsystem-symmetric monitored quantum circuits
• Analog Errors in Quantum Annealing: Doom and Hope
• On the Hardness of Measuring Magic
• Automated Synthesis of Quantum Algorithms via Classical Numerical Techniques
• Type-Based Verification of Connectivity Constraints in Lattice Surgery
• Decoherence of Dynamically Manipulated Qubits
• Towards practical secure delegated quantum computing with semi-classical light
• Resource-efficient quantum algorithm for linear systems of equations
• High-Precision Multi-Qubit Clifford+T Synthesis by Unitary Diagonalization
• Multi-Armed Bandits and Quantum Channel Oracles
• A New Scaling Function for QAOA Tensor Network Simulations
• Compositional Quantum Control Flow with Efficient Compilation in Qunity
• Improving photon detector efficiency using a high-fidelity optical CNOT gate
• Tight Success Probabilities for Quantum Period Finding and Phase Estimation
• Entanglement Trajectory and its Boundary
• Digital quantum simulation of squeezed states via enhanced bosonic encoding in a superconducting quantum processor
• Circuit Complexity for Coherent-Thermal States in Bosonic String Theory
• Integration of quantum random number generators with post-quantum cryptography algorithms
• Qrisp Implementation and Resource Analysis of a T-Count-Optimised Non-Restoring Quantum Square-Root Circuit
• Towards Quantum-Resistant Trusted Computing: Architectures for Post-Quantum Integrity Verification Techniques
• Optimality of universal conclusive entanglement concentration protocols
• The Efficiency Frontier: Classical Shadows versus Direct Quantum Measurement
• Quantum Data Structure for Range Minimum Query
• Energy-time attack on detectors in quantum key distribution
• Agnostic Tomography of Stabilizer Product States
• Quantum information theory on sparse wavefunctions and applications for Quantum Chemistry
• Abrupt and gradual changes of information through the Kane solid state computer
• Formal Verification of Quantum Ancilla Safety
• Probabilistic Coherence Transformation Under Strictly Incoherent Operation
• Red Teaming Quantum-Resistant Cryptographic Standards: A Penetration Testing Framework Integrating AI and Quantum Security
• Use of Mathematical Logical Concepts in Quantum Mechanics: An Example
• Practical implementation of Toffoli-based qubit rotation
• Building intuition for Quantum Algorithms using the Aharonov-Bohm effect
• Hardness of efficiently generating ground states in postselected quantum computation
• Grover Energy Transfer at Relativistic Speeds
• Truncated Modular Exponentiation Operators: A Strategy for Quantum Factoring
• Quantum-Resistant Networks Using Post-Quantum Cryptography
• Dense packing of the surface code: code deformation procedures and hook-error-avoiding gate scheduling
• Towards Continuous-variable Quantum Neural Networks for Biomedical Imaging
• A Commitment-based Authentication model for Key Exchange protocols
• Quantum Phase Estimation Algorithm with Gaussian Spin States
• Does Quantum Information Require Additional Structure?
• Quantum counting, and a relevant sign
• Resource Estimation for VQE on Small Molecules: Impact of Fermion Mappings and Hamiltonian Reductions
• Quantum oblivious transfer: a short review
• Fast collisional $\sqrt{\mathrm{SWAP}}$ gate for fermionic atoms in an optical superlattice
• Using of small-scale quantum computers in cryptography with many-qubit entangled states
• Solving the Nonlinear Vlasov Equation on a Quantum Computer
• Modular quantum computing and quantum-like devices
• Sample space filling analysis for boson sampling validation
• Investigating layer-selective transfer learning of QAOA parameters for Max-Cut problem
• Quantum advantage for single-photon state characterization
• Topology-Aware Block Coordinate Descent for Qubit Frequency Allocation of Superconducting Quantum Processors
• QAFE${}^2$: Quantum accelerated multiscale finite element analysis
• Filter Function Formalism and Software Package to Compute Quantum Processes of Gate Sequences for Classical Non-Markovian Noise
• Noise robustness of a multiparty quantum summation protocol
• Unconditional proofs of quantumness between small-space machines
• Incoherent Operations Enable State Transformations Impossible under Dephasing-covariant Incoherent Operations
• Codeword Stabilized Codes from m-Uniform Graph States
• Quantum phase estimation with optimal confidence interval using three control qubits
• Contributions to the Theory of Clifford-Cyclotomic Circuits
• Maximum expectation of observables with restricted purity states
• Prime Number Identification Demonstrated with Quantum Processors Using a New Rescaling-Based Noise Mitigation Technique
• Quantum community detection via deterministic elimination
• Robust Error Accumulation Suppression for Quantum Circuits
• Quantum Computation
• Quantum Algorithms for Discrete Log Require Precise Rotations
• Diagonal-Budgeted Trotterization for Efficient Quantum Hamiltonian Simulation
• State transfer with separable optical beams and variational quantum algorithms with classical light
• Classical modelling of a bosonic sampler with photon collisions
• Measuring entanglement along collective operators
• A reduction of integer factorization to modular tetration
• Phase-sensitive superposition of quantum states
• Managing Classical Processing Requirements for Quantum Error Correction
• A Quantum Algorithm for Finding Common Matches Between Databases with Reliable Behavior
• End-to-End Quantum Algorithms for the Jones Polynomial
• Proposal for implementing the three-qubit refined Deutsch-Jozsa quantum algorithm
• Quantum advantage through the magic pentagram problem
• Free Quantum Computing
• An optical Eratosthenes' sieve for large prime numbers
• Grothendieck inequalities characterize converses to the polynomial method
• Quantum walks advantage on the dihedral group for uniform sampling problem
• An improved update rule for probabilistic computers
• Unleashing Optimizations in Dynamic Circuits through Branch Expansion
• Review of Superconducting Qubit Devices and Their Large-Scale Integration
• Quantum oracles for the finite element method
• Decoherence of the quantum logic gate implemented with the Jaynes-Cummings model: A semiclassical approach
• Identifying lens spaces in polynomial time
• Quantum speedup from nonclassical polarization
• TabularQGAN: A quantum generative model for tabular data synthesis
• Implementation of controlled-NOT quantum gate by nonlinear coupled electro-nano-optomechanical oscillators