Quantum Mechanics helps in searching for a needle in a haystack

Abstract

Quantum mechanics can speed up a range of search applications over unsorted data. For example imagine a phone directory containing N names arranged in completely random order. To find someone's phone number with a probability of 50%, any classical algorithm (whether deterministic or probabilistic) will need to access the database a minimum of O(N) times. Quantum mechanical systems can be in a superposition of states and simultaneously examine multiple names. By properly adjusting the phases of various operations, successful computations reinforce each other while others interfere randomly. As a result, the desired phone number can be obtained in only O(sqrt(N)) accesses to the database.

Postscript, 4 pages. This is a modified version of the STOC paper (quant-ph/9605043) and is modified to make it more comprehensible to physicists. It appeared in Phys. Rev. Letters on July 14, 1997. (This paper was originally put out on quant-ph on June 13, 1997, the present version has some minor typographical changes)

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• Automatic Quantum Error Correction
• Natural three-qubit interactions in one-way quantum computing
• Speedup of quantum state transfer by three- qubit interactions: Implementation by nuclear magnetic resonance
• Techniques for combining fast local decoders with global decoders under circuit-level noise
• Symmetry breaking/symmetry preserving circuits and symmetry restoration on quantum computers: A quantum many-body perspective
• Dark states of quantum search cause imperfect detection
• Generation of two-dimensional cluster states by using high-finesse bimodal cavities
• Does three-tangle properly quantify the three-party entanglement for Greenberger-Horne-Zeilinger-type states?
• Staggered Quantum Walks with Hamiltonians
• Entanglement, Information and Multiparticle Quantum Operations
• Geometric Algebra and Information Geometry for Quantum Computational Software
• A Simple Quantum Neural Net with a Periodic Activation Function
• Decoherence of a two-qubit system with a variable bath coupling operator
• Quantum walks and quantum search on graphene lattices
• Quantum walks: the first detected transition time
• Analog Nature of Quantum Adiabatic Unstructured Search
• Verifying commuting quantum computations via fidelity estimation of weighted graph states
• Time-optimal control of a dissipative qubit
• On Halting Process of Quantum Turing Machine
• Foundations of quantum theory and quantum information applications
• Quantum Computation of a Complex System : the Kicked Harper Model
• Few-electron quantum dots for quantum computing
• Teleportation, Braid Group and Temperley--Lieb Algebra
• Direct comparison of quantum and simulated annealing on a fully-connected Ising ferromagnet
• Quantum spatial search on graphs subject to dynamical noise
• Open system quantum annealing in mean field models with exponential degeneracy
• Physical-Layer Cryptography Through Massive MIMO
• Hamiltonian engineering for adiabatic quantum computation: Lessons from shortcuts to adiabaticity
• An efficient quantum algorithm for preparation of uniform quantum superposition states
• Decoherence on Grover's quantum algorithm: perturbative approach
• Qcmpi: A Parallel Environment for Quantum Computing
• Adiabatic preparation without Quantum Phase Transitions
• Data centers with quantum random access memory and quantum networks
• Quantum Coding with Entanglement
• Qudits for decomposing multiqubit gates and realizing quantum algorithms
• Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates with Two Dark Paths in a Trapped Ion
• Schemes of implementation in NMR of quantum processors and Deutsch-Jozsa algorithm by using virtual spin representation
• Qubits entanglement dynamics modified by an effective atomic environment
• Generation of eigenstates using the phase-estimation algorithm
• Quantum annealing speedup over simulated annealing on random Ising chains
• Exactness of the Original Grover Search Algorithm
• Fast Non-Adiabatic Two Qubit Gates for the Kane Quantum Computer
• Adiabatic quantum search with atoms in a cavity driven by lasers
• Universal Dephasing Control During Quantum Computation
• Quantum search algorithms on the hypercube
• Preparing Valence-Bond-Solid states on noisy intermediate-scale quantum computers
• Entanglement of Tripartite States with Decoherence in Noninertial frames
• Optimal single shot strategies for discrimination of quantum measurements
• Optically Driven Qubits in Artificial Molecules
• Multi-phase matching in the Grover algorithm
• Implementation of a Deutsch-like quantum algorithm utilizing entanglement at the two-qubit level, on an NMR quantum information processor
• Adiabatic Quantum Search in Open Systems
• General framework for quantum search algorithms
• Reduced State Uniquely Defines Groverian Measure of Original Pure State
• Superconducting crossed correlations in ferromagnets: implications for thermodynamics and quantum transport
• Noise effects in the quantum search algorithm from the computational complexity point of view
• Reducing the CNOT count for Clifford+T circuits on NISQ architectures
• Non-Unitary Quantum Walks on Hyper-Cycles
• Error tolerance in an NMR Implementation of Grover's Fixed-Point Quantum Search Algorithm
• Threats and Opportunities: Blockchain Meets Quantum Computation
• Hybrid controlled-SUM gate with one superconducting qutrit and one cat-state qutrit and application in hybrid entangled state preparation
• Quantum Metropolis Solver: A Quantum Walks Approach to Optimization Problems
• Quantum information
• Application of Pontryagin's Minimum Principle to Grover's Quantum Search Problem
• Neural ensemble decoding for topological quantum error-correcting codes
• New techniques for fault-tolerant decomposition of Multi-Controlled Toffoli gate
• Repeat-Until-Success circuits with fixed-point oblivious amplitude amplification
• Quantum supremacy in constant-time measurement-based computation: A unified architecture for sampling and verification
• Entanglement and Quantum Error Correction with Superconducting Qubits
• Entanglement dynamics of a two-qubit system coupled individually to Ohmic baths
• Scalable quantum search using trapped ions
• An optically driven quantum dot quantum computer
• High-Level Methods for Quantum Computation and Information
• Efficient variational synthesis of quantum circuits with coherent multi-start optimization
• Quantum walks as a probe of structural anomalies in graphs
• Fast Simulation of High-Depth QAOA Circuits
• Quantum complexities of ordered searching, sorting, and element distinctness
• Oracles and query lower bounds in generalised probabilistic theories
• Information Geometry Aspects of Minimum Entropy Production Paths from Quantum Mechanical Evolutions
• Photon-spin qubit-conversion based on Overhauser shift of Zeeman energies in quantum dots
• Automatically Differentiable Quantum Circuit for Many-qubit State Preparation
• Entanglement in a two-qubit Heisenberg XXX chain with x-components of Dzyaloshinskii-Moriya and Kaplan-Shekhtman-Entin-Wohlman-Aharony interactions
• Quantum information cannot be split into complementary parts
• Fetching marked items from an unsorted database in NMR ensemble computing
• Quantum walk-based search algorithms with multiple marked vertices
• Scaling of the local quantum uncertainty at quantum phase transitions
• A simple entanglement measure for multipartite pure states
• Quantum tests for the linearity and permutation invariance of Boolean functions
• The Limiting Distribution of Decoherent Quantum Random Walks
• Evaluating the Potential of Quantum Machine Learning in Cybersecurity: A Case-Study on PCA-based Intrusion Detection Systems
• Quantum mechanics helps in learning for more intelligent robot
• Qdensity - a Mathematica Quantum Computer Simulation
• Rapid sampling through quantum computing
• Perspectives for a mixed two-qubit system with binomial quantum states
• Interaction-free generation of entanglement
• Hybrid Quantum-Classical Graph Convolutional Network
• Experimental Implementation of Hogg's Algorithm on a Three-Quantum-bit NMR Quantum Computer
• Detected jump-error correcting quantum codes, quantum error designs and quantum computation
• Probing nonclassicality in an optically-driven cavity with two atomic ensembles
• Relation between Random Walks and Quantum Walks
• Effects of dissipation in an adiabatic quantum search algorithm
• Optimal parametrizations of adiabatic paths
• Tripartite entanglement of fermionic system in accelerated frames
• Robust Quantum Control for Adiabatic Quantum Computation
• On the role of dealing with quantum coherence in amplitude amplification
• Bell inequalities and density matrix for polarization entangled photons out of a two-photon cascade in a single quantum dot
• Tensor networks for interpretable and efficient quantum-inspired machine learning
• Selective pulse implementation of two-qubit gates for spin-3/2 based fullerene quantum information processing
• Steering Quantum Dynamics via Bang-Bang Control: Implementing optimal fixed point quantum search algorithm
• Quantum remote sensing under the effect of dephasing
• Generalized Quantum Search Hamiltonian
• Information processing at the speed of light
• Continuous Time Quantum Walks in finite Dimensions
• Quantum walks: decoherence and coin-flipping games
• Entanglement quantification through local observable correlations
• Grover search under localized dephasing
• Geometric quantum computation using fictitious spin- 1/2 subspaces of strongly dipolar coupled nuclear spins
• Multipartite Entanglement and Quantum State Exchange
• Phonon-mediated generation of quantum correlations between quantum dot qubits
• Quantum speedup for track reconstruction in particle accelerators
• A Quantum von Neumann Architecture for Large-Scale Quantum Computing
• Central limit theorem for reducible and irreducible open quantum walks
• Quantum Chaos and Quantum Algorithms
• Robust Logic Gates and Realistic Quantum Computation
• Quantum Speed-ups for Semidefinite Programming
• Compact Toffoli gate using weighted graph states
• Prime Factorization in the Duality Computer
• An algorithm for solving unconstrained unitary quantum brachistochrone problems
• A More General Quantum Searching Algorithm And the Precise Formula of the Amplitude and the Non-symmetric Effects of Different Rotating Angles
• Spatial quantum search in a triangular network
• Implementing Shor's algorithm on Josephson Charge Qubits
• Tracking Quantum Error Correction
• Modularization of multi-qubit controlled phase gate and its NMR implementation
• Mixed-State Entanglement and Quantum Teleportation through Noisy Channels
• Implementing quantum algorithms on temporal photonic cluster states
• Quantum search on the two-dimensional lattice using the staggered model with Hamiltonians
• Control of spin dynamics with laser pulses: Generation of entangled states of donor-bound electrons in a Cd1-xMnxTe quantum well
• From quantum graphs to quantum random walks
• Quantum computation and analysis of Wigner and Husimi functions: toward a quantum image treatment
• Quantum algorithm for obtaining the eigenstates of a physical system
• Quantum Information Theory - an Invitation
• Decoherence in Two-Dimensional Quantum Random Walks with Traps
• A quantitative model for the effective decoherence of a quantum computer with imperfect unitary operations
• Weightless neural network parameters and architecture selection in a quantum computer
• Universal quantum computing with qubits embedded in trapped-ion qudits
• Uncertainty and symmetry bounds for the quantum total detection probability
• A scheme for tunable quantum phase gate and effective preparation of graph-state entanglement
• Deterministic quantum search with adjustable parameters: implementations and applications
• Effect of system level structure and spectral distribution of the environment on the decoherence rate
• Realization of generalized quantum searching using nuclear magnetic resonance
• Circuit complexity of quantum access models for encoding classical data
• The spectral dimension controls the decay of the quantum first detection probability
• Entanglement cost and entangling power of bipartite unitary and permutation operators
• Decrease of Fisher information and the information geometry of evolution equations for quantum mechanical probability amplitudes
• Experimental characterization of photonic fusion using fiber sources
• Quantum Entanglement and Quantum Computational Algorithms
• Quantum search on noisy intermediate-scale quantum devices
• Quantum Signal Processing for simulating cold plasma waves
• Realizing nonadiabatic holonomic quantum computation beyond the three-level setting
• Propagation of generalized Pauli errors in qudit Clifford circuits
• Quantum heuristic algorithm for traveling salesman problem
• Quantum algorithm for optical template recognition with noise filtering
• Implementation of Measurement Reduction for the Variational Quantum Eigensolver
• An Improved Quantum Private Set Intersection Protocol Based on Hadamard Gates
• Experimentally superposing two pure states with partial prior knowledge
• Classical and quantum random-walk centrality measures in multilayer networks
• 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
• The Road to Quantum Artificial Intelligence
• Quantum algorithm to distinguish Boolean functions of different weights
• The quantum query complexity of read-many formulas
• Blind quantum computation for a user who only performs single-qubit gates
• Opening the Black Box Inside Grover's Algorithm
• Quantum reinforcement learning in continuous action space
• Optimal computation with non-unitary quantum walks
• Analysis of Coined Quantum Walks with Renormalization
• Optimal quantum adversary lower bounds for ordered search
• Mimicking Time Evolution within a Quantum Ground State: Ground-State Quantum Computation, Cloning, and Teleportation
• Faster annealing schedules for quantum annealing
• Implementing the Deutsch's algorithm with spin-orbital angular momentum of photon without interferometer
• Overview of Spin-Based Quantum Dot Quantum Computation
• Doppler-free, Multi-wavelength Acousto-optic deflector for two-photon addressing arrays of Rb atoms in a Quantum Information Processor
• A Silicon Surface Code Architecture Resilient Against Leakage Errors
• Phase diagram of quantum generalized Potts-Hopfield neural networks
• Quantum Algorithm for Hilbert's Tenth Problem
• Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
• Geometric Measure of Entanglement and Shared Quantum States
• Quantum algorithm for total least squares data fitting
• Implementation of controlled phase shift gates and Collins version of Deutsch-Jozsa algorithm on a quadrupolar spin-7/2 nucleus using non-adiabatic geometric phases
• Dynamics of the quantum search and quench-induced first-order phase transitions
• Quantum algorithms for the generalized eigenvalue problem
• An environment-mediated quantum deleter
• Entanglement dynamics of non-inertial observers in a correlated environment
• Grover's search with local and total depolarizing channel errors
• Quantum information processing by NMR using a 5-qubit system formed by dipolar coupled spins in an oriented molecule
• Solving Quadratic Unconstrained Binary Optimization with divide-and-conquer and quantum algorithms
• Towards multiqudit quantum processor based on a ${}^{171}$Yb${}^{+}$ ion string: Realizing basic quantum algorithms
• Continuous-Time Quantum Algorithms for Unstructured Problems
• Adiabatic quantum optimization in presence of discrete noise: Reducing the problem dimensionality
• One-way quantum computing in a decoherence-free subspace
• Simple implementation of a quantum search with trapped ions
• Quantum algorithms for scientific computing
• Entanglement classification of 2 X 2 X 2 X d quantum systems via the ranks of the multiple coefficient matrices
• Quantum Chinos Game: winning strategies through quantum fluctuations
• Quantum independent set problem and non-abelian adiabatic mixing
• Practical designs for permutation symmetric problem Hamiltonians on hypercubes
• Generalized Toffoli gate decomposition using ququints: Towards realizing Grover's algorithm with qudits
• Dissipative decoherence in the Grover algorithm
• Classical-like behavior in quantum walks with inhomogeneous, time-dependent coin operators
• Quantum speed-up in solving the maximal clique problem
• Experimental Demonstration of Quantum Tunneling in IBM Quantum Computer
• Use of non-adiabatic geometric phase for quantum computing by nuclear magnetic resonance
• Quantum search on structured problems
• Quantum Simulation of Klein Gordon Equation and Observation of Klein Paradox in IBM Quantum Computer
• A Schematic Definition of Quantum Polynomial Time Computability
• Quantum computing with semiconductor double-dot molecules on a chip
• A General SU(2) Formulation for Quantum Searching with Certainty
• Five open problems in quantum information
• The Quantum House Of Cards
• Formation of Multipartite Entanglement Using Random Quantum Gates
• Statistical Constraints on State Preparation for a Quantum Computer
• Quantum algorithms for testing Boolean functions
• All Optical Cellular Quantum Computer having Ancilla Bits for Operations in Each Cell
• Fast graph operations in quantum computation
• Three qubit Grover's algorithm using superconducting quantum interference devices in cavity QED
• Geometric aspects of analog quantum search evolutions
• Twelve-spin "Schrodinger cat"
• Quantum Associative Memory in HEP Track Pattern Recognition
• Nondistillability of distillable qutrit-qutrit states under depolarizing noise
• Implementation of Conditional Phase Shift gate for Quantum Information Processing by NMR, using Transition-selective pulses
• An algorithm for DNA read alignment on quantum accelerators
• Quantum Amplitude Amplification Operators
• Entanglement-assisted local transformations between inequivalent classes of three-particle entangled states
• Power of one non-clean qubit
• Virtual Parallel Computing and a Search Algorithm using Matrix Product States
• Analysis of Grover's quantum search algorithm as a dynamical system
• Quantum computing with mixed states
• Engineering topological states and quantum-inspired information processing using classical circuits
• Error-Resistant Distributed Quantum Computation in Trapped Ion Chain
• Quantum gradient descent algorithms for nonequilibrium steady states and linear algebraic systems
• Quantum search by partial adiabatic evolution
• Secure and Efficient Two-party Quantum Scalar Product Protocol With Application to Privacy-preserving Matrix Multiplication
• Diabatic Quantum Annealing for the Frustrated Ring Model
• Experimental implementation of quantum algorithm for association rules mining
• Quantum Computing by Cooling
• Quantum Dating Market
• Fixed-point Quantum Search for Different Phase Shifts
• Exact Quantum Search by Parallel Unitary Discrimination Schemes
• Quantum Programming of the Satisfiability Problem with Rydberg Atom Graphs
• Finite time decoherence could be suppressed efficiently in photonic crystal
• Quantum mean centering for block-encoding-based quantum algorithm
• Metasurface for programmable quantum algorithms with quantum and classical light
• Gapped Quantum Criticality Gains Long Time Quantum Correlations
• Synthesizing NMR analogues of Einstein-Podolsky-Rosen states using generalized Grover's algorithm
• Mitigating errors by quantum verification and post-selection
• Control of Decoherence: Dynamical Decoupling versus Quantum Zeno Effect - a case study for trapped ions
• Bounds of concurrence and their relation with fidelity and frontier states
• Optimal Hamiltonian simulation for time-periodic systems
• Unified generation and fast emission of arbitrary single-photon multimode $W$ states
• A Quantum Interior-Point Predictor-Corrector Algorithm for Linear Programming
• Concatenating dynamical decoupling with decoherence-free subspaces for quantum computation
• A hybrid classical-quantum algorithm for digital image processing
• Enhanced-sensitivity interferometry with phase-sensitive unbiased multiports
• A General Phase Matching Condition for Quantum Searching Algorithm
• Interaction-free quantum computation
• Reducing the communication complexity with quantum entanglement
• All-optical quantum computing with a hybrid solid-state processing unit
• A Novel Clustering Algorithm Based on Quantum Games
• Special Session: Noisy Intermediate-Scale Quantum (NISQ) Computers -- How They Work, How They Fail, How to Test Them?
• Variational Quantum Algorithms for Semidefinite Programming
• Quantum implementation of elementary arithmetic operations
• Gates for the Kane Quantum Computer in the Presence of Dephasing
• Towards Quantum Computing with Molecular Electronics
• Implementing two-photon three-degree-of-freedom hyper-parallel controlled phase flip gate through cavity-assisted interactions
• A Query-based Quantum Eigensolver
• Renormalization and Scaling in Quantum Walks
• Quantum search with a continuous-time quantum walk in momentum space
• A DMI guide to magnets micro-world
• Quantifying coherence in terms of Fisher information
• Strongly symmetric spectral convex bodies are Jordan algebra state spaces
• Identification of a reversible quantum gate: assessing the resources
• Demonstration of quantum permutation algorithm with a single photon ququart
• Density functionals and Kohn-Sham potentials with minimal wavefunction preparations on a quantum computer
• Optimizing adiabatic quantum pathways via a learning algorithm
• Optimal probabilistic distillation of quantum coherence
• Fabrication of the impedance-matched Josephson parametric amplifier and the study of the gain profile
• Implementations of Quantum Logic: Fundamental and Experimental Limits
• A Review on Quantum Computing: Qubits, Cryogenic Electronics and Cryogenic MOSFET Physics
• Assisted harvesting and catalysis of coherence from scalar fields
• Digital-analog quantum simulation of fermionic models
• Power-optimal, stabilized entangling gate between trapped-ion qubits
• Quantum walks on random lattices: Diffusion, localization and the absence of parametric quantum speed-up
• A Benchmarking Study of Quantum Algorithms for Combinatorial Optimization
• Generation of quantum coherence for continuous variables between causally disconnected regions in dilaton spacetime
• Addendum to "Single photon logic gates using minimum resources"
• Alternative scheme for two-qubit conditional phase gate by adiabatic passage under dissipation
• The swap operation in the two-qubit Heisenberg XXZ model-effects of anisotropy and magnetic field
• Single-Photon-Memory Measurement-Device-Independent Quantum Secure Direct Communication -- Part I: Its Fundamentals and Evolution
• Quantum entanglement in the NMR implementation of the Deutsch-Jozsa algorithm
• Quantum divisibility test and its application in mesoscopic physics
• Black Hole Evaporation, Quantum Hair and Supertranslations
• Geometric quantum gates via dark paths in Rydberg atoms
• Dirac equation with ultraviolet cutoff and quantum walk
• Grover-like search via Frenkel exciton trapping mechanism
• Quantum-Based Feature Selection for Multi-classification Problem in Complex Systems with Edge Computing
• The Early Universe as a Quantum Growing Network
• QCWAVE, a Mathematica quantum computer simulation update
• Non adiabatic quantum search algorithms
• Quantum search of a real unstructured database
• Fast Black-Box Quantum State Preparation Based on Linear Combination of Unitaries
• A Quantum-based Database Query Scheme for Privacy Preservation in Cloud Environment
• Universal distributed quantum computing on superconducting qutrits with dark photons
• Deterministic generation of photonic entangled states using decoherence-free subspaces
• Accelerated quantum circuit Monte-Carlo simulation for heavy quark thermalization
• Exact dynamics for optical coherent-state qubits subject to environment noise
• QOPTLib: a Quantum Computing Oriented Benchmark for Combinatorial Optimization Problems
• Finding solutions to the integer case constraint satisfiability problem using Grover's algorithm
• Hybrid Quantum Computation
• Quantum search with interacting Bose-Einstein condensates
• Encoding classical data into a quantum computer
• Quantum computing with four-particle decoherence-free states in ion trap
• On-Chip Matching Networks for Radio-Frequency Single-Electron-Transistors
• Continuous-variable controlled-Z gate using an atomic ensemble
• "Spectral Implementation" for creating a labeled pseudo-pure state and the Bernstein-Vazirani's algorithm in a four-qubit nuclear magnetic resonance quantum processor
• Delayed commutation in quantum computer networks
• Symmetry-induced decoherence-free subspaces
• Implementations of more general solid-state (SWAP)${}^{1/m}$ and controlled-(swap)${}^{1/m}$ gates
• Cluster state generation in one-dimensional Kitaev honeycomb model via shortcut to adiabaticity
• Complementarity between Success Probability and Coherence in Grover Search Algorithm
• Finding paths with quantum walks or quantum walking through a maze
• Modified Grover's algorithm for an expectation value quantum computer
• Demonstration of active feedforward one-way quantum computing with photon-matter hyperentanglement
• Non-equilibrium quantum thermodynamics of a particle trapped in a controllable time-varying potential
• Search for optimum labeling schemes in qubit systems for Quantum Information processing by NMR
• Highly optimized quantum circuits synthesized via data-flow engines
• Direct Implementation of High-Fidelity Three-Qubit Gates for Superconducting Processor with Tunable Couplers
• Ion-trap quantum information processing: experimental status
• Superradiance as a Source of Collective Decoherence in Quantum Computers
• Deep learning optimal quantum annealing schedules for random Ising models
• Quantum Abacus
• Variational quantum eigensolver with linear depth problem-inspired ansatz for solving portfolio optimization in finance
• Errors due to Finite Rise/fall Times of Pulses in Superconducting Charge Qubits
• Leakage Suppression for Holonomic Quantum Gates
• A graph theoretical approach to states and unitary operations
• Optical implementations, oracle equivalence, and the Bernstein-Vazirani algorithm
• Client-friendly continuous-variable blind and verifiable quantum computing
• Non-Hermitian and Zeno limit of quantum systems under rapid measurements
• An expectation value expansion of Hermitian operators in a discrete Hilbert space
• Timestamp Boson Sampling
• Quantum Fourier Iterative Amplitude Estimation
• Optimization by a quantum reinforcement algorithm
• Distribution of interference in random quantum algorithms
• Quantum accelerated approach to the thermal state of classical spin systems with applications to pattern-retrieval in the Hopfield neural network
• Python's Lunches in Jackiw-Teitelboim gravity with matter
• Quantum Computing of Poincare Recurrences and Periodic Orbits
• Dynamical quantum phase transitions
• A simple Example of Definitions of Truth, Validity, Consistency, and Completeness in Quantum Mechanics
• Using Hilbert transform and classical chains to simulate quantum walks
• Generalized Quantum PageRank Algorithm with Arbitrary Phase Rotations
• Disorder-assisted graph coloring on quantum annealers
• Pseudo-randomness and Learning in Quantum Computation
• The Representation of Natural Numbers in Quantum Mechanics
• Unitary Partitioning and the Contextual Subspace Variational Quantum Eigensolver
• Hadamard NMR spectroscopy for two-dimensional quantum information processing and parallel search algorithms
• How Fast Can Quantum Annealers Count?
• Nonadiabatic geometric quantum computation with shortened path on superconducting circuits
• Optimal Clock Speed of Single-Qubit Operations on Open Quantum Systems
• Quantum phase estimation algorithms with delays: effects of dynamical phases
• A Refinement of Shor's Algorithm
• Experimental Realization of Brüschweiler's exponentially fast search algorithm in a homo-nuclear system
• Entanglement dynamics of two two-level atoms in the vicinity of an invisibility cloak
• Algebraic analysis of quantum search with pure and mixed states
• Quantifying Computational Advantage of Grover's Algorithm with the Trace Speed
• Quantum Computation of Eigenvalues within Target Intervals
• Testing a Quantum Computer
• Quantum Amplitude Estimation in the Presence of Noise
• Entanglement assisted training algorithm for supervised quantum classifiers
• Quantum-accessible reinforcement learning beyond strictly epochal environments
• Faster quantum searching with almost arbitrary operators
• Quantum algorithms for subset finding
• Quantum information processing: The case of vanishing interaction energy
• Quantum Probabilistic Subroutines and Problems in Number Theory
• A single-interaction step implementation of a quantum search in coupled micro-cavities
• Implementation of quantum stochastic walks for function approximation, two-dimensional data classification, and sequence classification
• Experimentally demonstrating indefinite causal order algorithms to solve the generalized Deutsch's problem
• Analog quantum variational embedding classifier
• Realization of quantum gates with multiple control qubits or multiple target qubits in a cavity
• Fault-ignorant Quantum Search
• The Influence of Superpositional Wave Function Oscillations on Shor's Quantum Algorithm
• Optimizing Quantum Adiabatic Algorithm
• Quantum Hamiltonian Computing protocols for molecular electronics Boolean logic gates
• Tsallis relative $\alpha$ entropy of coherence dynamics in Grover's search algorithm
• Graphane with carbon dimer defects: Robust in-gap states and a scalable two-dimensional platform for quantum computation
• Programmable quantum state discriminator by Nuclear Magnetic Resonance
• Information Erasure and Recover in Quantum Memory
• Measurement Crosstalk Errors in Cloud-Based Quantum Computing
• Criterion for SLOCC Equivalence of Multipartite Quantum States
• Scaling of Decoherence Effects in Quantum Computers
• A Comment on Fisher Information and Quantum Algorithms
• Variational secure cloud quantum computing
• Time and frequency domain solutions in an optical analogue of Grover's search algorithm
• Grover like Operator Using Only Single-Qubit Gates
• Non-Adiabatic Quantum Dynamics of Grover's Adiabatic Search Algorithm
• Quantum search using non-Hermitian adiabatic evolution
• Parametric Probabilistic Quantum Memory
• Towards quantum computing with single atoms and optical cavities on atom chips
• Cross-verification of independent quantum devices
• Theoretical analysis of a nearly optimal analog quantum search
• Multiqubit quantum phase gate using four-level superconducting quantum interference devices coupled to superconducting resonator
• Spatial Search Algorithms on Hanoi Networks
• Simulations of the adiabatic quantum optimization for the Set Partition Problem
• Experimental demonstration of teleportation-based programmable quantum gate
• Quantum Communication Complexity (A Survey)
• Quantum walk based state transfer algorithms on the complete M-partite graph
• Quantum lower and upper speed limits
• Coherence and entanglement in Grover and Harrow-Hassidim-Lloyd algorithm
• Dissipation-assisted quantum computation in atom-cavity systems
• Implementations of two-photon four-qubit Toffoli and Fredkin gates assisted by nitrogen-vacancy centers
• Quantum enhancement to information acquisition speed
• Using Spectral Graph Theory to Map Qubits onto Connectivity-Limited Devices
• Quantum Error Mitigation via Quantum-Noise-Effect Circuit Groups
• Quantum algorithm for estimating volumes of convex bodies
• Scaling Hypothesis of Spatial Search on Fractal Lattice Using Quantum Walk
• Berry-phase-based quantum gates assisted by transitionless quantum driving
• Analog Grover search by adiabatic passage in a cavity-laser-atom system
• Controlled quantum search on structured databases
• An entangling-probe attack on Shor's algorithm for factorization
• Simulation of Grover's quantum search algorithm in a Ising nuclear spin chain quantum computer with first and second nearest neighbour couplings
• Loop Feynman integration on a quantum computer
• Hardware requirements for trapped-ion based verifiable blind quantum computing with a measurement-only client
• Electrical measurement of a two-electron spin state in a double quantum dot
• Dynamics of Entanglement and Nonclassical Correlation for Four-Qubit GHZ State
• Visualization of superposition of macroscopically distinct states
• Simulation of Quantum Computers: Review and Acceleration Opportunities
• Dissipative search of an unstructured database
• Green function approach for scattering quantum walks
• Tunable multi-photon Rabi oscillations in an electronic spin system
• A scalable method for demonstrating the Deutsch-Jozsa and Bernstein-Vazirani algorithms using cluster states
• Quantum Portfolios
• Phase shifts in nonresonant coherent excitation
• Adiabatic quantum computation along quasienergies
• The Precise Formula in a Sine Function Form of the norm of the Amplitude and the Necessary and Sufficient Phase Condition for Any Quantum Algorithm with Arbitrary Phase Rotations
• The Generalized Quantization Schemes for Games and its Application to Quantum Information
• Robust quantum searching with spontaneously decaying qubits
• Quantum Information Masking in Non-Hermitian Systems and Robustness
• Spectral implementation of some quantum algorithms by one- and two-dimensional nuclear magnetic resonance
• A family of sure-success quantum algorithms for solving a generalized Grover search problem
• Disorder-induced two-body localised state in interacting quantum walks
• A finite geometric toy model of space-time as an error correcting code
• Quantum games via search algorithms
• The Initialization Problem in Quantum Computing
• Quantum walk search by Grover search on coin space
• Beyond Quantum Annealing: Optimal control solutions to MaxCut problems
• Error Avoiding Quantum Codes and Dynamical Stabilization of Grover's Algorithm
• Nonclassical Imaging for a quantum search of trapped ions
• Schrodinger cat animated on a quantum computer
• New summing algorithm using ensemble computing
• Demonstrating quantum algorithm acceleration with NMR quantum computer
• How Quantum is the Speedup in Adiabatic Unstructured Search?
• Minimal Absorption Measurements
• Oxide-Semiconductor Materials for Quantum Computation
• Entangling capacity of global phases and implications for Deutsch-Jozsa algorithm
• Rabi oscillations, coherent properties and model qubits in two-level donor systems under terahertz radiation
• A full circuit-based quantum algorithm for excited-states in quantum chemistry
• Quantum Relational Databases
• Quantum search degeneration under amplitude noise in queries to the oracle
• Constant-depth circuits for Boolean functions and quantum memory devices using multi-qubit gates
• Realizable Quantum Adiabatic Search
• Classical and Quantum Complexity of the Sturm-Liouville Eigenvalue Problem
• Quantum state tomography and quantum logical operations in a three qubits NMR quadrupolar system
• Processing Issues in Top-Down Approaches to Quantum Computer Development in Silicon
• Integrating quantum and classical computing for multi-energy system optimization using Benders decomposition
• High-Capacity Quantum Associative Memories
• Quantum computation of multifractal exponents through the quantum wavelet transform
• Self-aligned fabrication process for silicon quantum computer devices
• Quantum search with resonances
• Failure of Effective Potential Approach: Nucleus-Electron Entanglement in the He-Ion
• On models of nonlinear evolution paths in adiabatic quantum algorithms
• Stochastic optimal control formalism for an open quantum system
• Phase diagram for the Grover algorithm with static imperfections
• Entanglement of pair cat states and teleportation
• Necessity of Superposition of Macroscopically Distinct States for Quantum Computational Speedup
• Absolute separability witnesses for symmetric multiqubit states
• Dissipative dynamics of quantum discord under quantum chaotic environment
• Probabilistic bisimilarities between quantum processes
• On Measurement and Computation
• Mixed-state phase transitions in spin-Holstein models
• A generalization of Bernstein-Vazirani algorithm with multiple secret keys and a probabilistic oracle
• Transition Probabilities in Generalized Quantum Search Hamiltonian Evolutions
• Why adiabatic quantum annealing is unlikely to yield speed-up
• Higher order perturbation theory for decoherence in Grover's algorithm
• Complexity and Time
• Approximate distillation of quantum coherence
• Quantum error cancellation in photonic systems -- undoing photon losses
• Implementation of many-qubit Grover search with trapped ultracold ions
• Grover Walks on a Line with Absorbing Boundaries
• RISQ - reduced instruction set quantum computers
• Demonstration of Algorithmic Quantum Speedup for an Abelian Hidden Subgroup Problem
• Analytical results for the Quantum Alternating Operator Ansatz with Grover Mixer
• Estimating the cost of generic quantum pre-image attacks on SHA-2 and SHA-3
• Quantum mutual information and quantumness vectors for multi-qubit systems
• Quantum computers can search rapidly by using almost any selective transformations
• Coherence dynamics in quantum algorithm for linear systems of equations
• Fundamental causal bounds of quantum random access memories
• Reply to Andrew Hodges
• Quantum Optimization for Combinatorial Searches
• On the Geometric Measures of Entanglement
• Hypercomputability of quantum adiabatic processes: Fact versus Prejudices
• Quantum CPU and Quantum Algorithm
• Circuit optimization for IBM processors: A way to get higher fidelity and higher values of nonclassicality witnesses
• Interference versus success probability in quantum algorithms with imperfections
• Maximum entanglement of mixed symmetric states under unitary transformations
• Searches on star graphs and equivalent oracle problems
• Simulated Quantum Computation of Global Minima
• Quantum Annealing Machine based on Floating Gate Array
• Quantum Machines
• The quantum query complexity of certification
• Complexity Bounds on Quantum Search Algorithms in finite-dimensional Networks
• Solution to Satisfiability problem by a complete Grover search with trapped ions
• The quest and hope of Majorana zero modes in topological superconductor for fault-tolerant quantum computing: an introductory overview
• Efficient preparation of entangled states in cavity QED with Grover's algorithm
• Two-qubit Quantum Logic Gate in Molecular Magnets
• Accelerating Shor's Factorization Algorithm on GPUs
• Entanglement of Open Quantum Systems in Noninertial Frames
• Quantum walk on a graph of spins: magnetism and entanglement
• Global multipartite entanglement dynamics in Grover's search algorithm
• Resonant Quantum Search with Monitor Qubits
• Quantum density peak clustering
• Quantum Limit on Computational Time and Speed
• Adiabatic Quantum Computation is Equivalent to Standard Quantum Computation
• Information Geometric Aspects of Probability Paths with Minimum Entropy Production for Quantum State Evolution
• Neural Networks Architecture Evaluation in a Quantum Computer
• Spatial Search on Sierpinski Carpet Using Quantum Walk
• Constant-time solution to the Global Optimization Problem using Bruschweiler's ensemble search algorithm
• Nuclear-induced time evolution of entanglement of two-electron spins in anisotropically coupled quantum dot
• Optimization of probabilistic quantum search algorithm with a priori information
• Quantum Information Processing and Entanglement in Solid State Devices
• Evolutionary Optimization of State Selective Field Ionization for Quantum Computing
• Reconfigurable cluster state generation in specially poled nonlinear waveguide arrays
• Role of symmetry in quantum search via continuous-time quantum walk
• Quantum walk search on a two-dimensional grid with extra edges
• Energy risk analysis with Dynamic Amplitude Estimation and Piecewise Approximate Quantum Compiling
• Authenticated Multiparty Quantum Key Agreement for Optical-Ring Quantum Communication Networks
• Quantum Algorithm to Solve Satisfiability Problems
• Impossibility of comparing and sorting quantum states
• Quantum algorithm for logistic regression
• A Novel Clustering Algorithm Based Upon Games on Evolving Network
• Noise-tolerant quantum speedups in quantum annealing without fine tuning
• Uncertainty In Quantum Computation
• Generation of two-mode entanglement between separated cavities
• Charge and Spin Thermoelectric Transport in Benzene-Based Molecular Nano-Junctions: A Quantum Many-Body Study
• Manifestation of a nonclassical Berry phase of an electromagnetic field in atomic Ramsey interference
• Grover Speedup from Many Forms of the Zeno Effect
• On Applying the Lackadaisical Quantum Walk Algorithm to Search for Multiple Solutions on Grids
• Dimension reduction and redundancy removal through successive Schmidt decompositions
• Unconventional Quantum Computing Devices
• Coherence Fraction in Grover Search Algorithm
• Quantum Accelerator Stack: A Research Roadmap
• Solving Satisfiability Problems by the Ground-State Quantum Computer
• The role of quantum coherence in dimer and trimer excitation energy transfer
• Relaxation of Pseudo pure states : The Role of Cross-Correlations
• Quantum Pathways for Charged Track Finding in High-Energy Collisions
• Quantum search in many-body interacting system with long-range interaction
• Creation of Entanglement between Two Electron Spins Induced by Many Spin Ensemble Excitations
• Empirical learning of dynamical decoupling on quantum processors
• Quantum Privacy-preserving Two-party Circle Intersection Protocol Based on Phase-encoded Query
• An Algorithm for Reversible Logic Circuit Synthesis Based on Tensor Decomposition
• Unifying quantum spatial search, state transfer and uniform sampling on graphs: simple and exact
• ROM-based quantum computation: Experimental explorations using Nuclear Magnetic Resonance, and future prospects
• Amplitude Damping for single-qubit System with single-qubit mixed-state Environment
• Parallel Quantum Computing Emulation
• Dynamics of decoherence in a noisy driven environment
• Exponential improvements for quantum-accessible reinforcement learning
• Generation and sudden death of entanglement in qubit-qutrit systems in depolarizing noise
• Two Notes on Grover's Search: Programming and Discriminating
• Implementing transferable annealing protocols for combinatorial optimisation on neutral atom quantum processors: a case study on smart-charging of electric vehicles
• Solving Random Satisfiability Problems with Quantum Computers
• Solving the quantum search problem in polynomial time on an NMR quantum computer
• Fault-tolerant composite Householder reflection
• Polarization Requirements for Ensemble Implementations of Quantum Algorithms with a Single Bit Output
• Optimal Conditions for Environment-Assisted Quantum Transport on the Fully Connected Network
• Topologically protected Grover's oracle for the partition problem
• Cyclic networks of quantum gates
• Quantum algorithm for exact Monte Carlo sampling
• Provable superior accuracy in machine learned quantum models
• Criterion for a state to be distillable via stochastic incoherent operations
• A Quantum Algorithm for Testing Juntas in Boolean Functions
• Experimental realization of a highly structured search algorithm
• Quantum search on Hanoi network
• Control of entanglement and two-qubit quantum gates with atoms crossing a detuned optical cavity
• A relation between fidelity and quantum adiabatic evolution
• Single-Step Quantum Search Using Problem Structure
• Towards Supporting QIR: Steps for Adopting the Quantum Intermediate Representation
• Staggered Quantum Walk on Hexagonal Lattices
• Difference between quantum annealing by imaginary-time and real-time Schrödinger equation of Grover's search
• Fast Evolution of Single Qubit Gate in Non-Adiabatic Geometric Quantum Computing
• Criteria for SLOCC and LU Equivalence of Generic Multi-qudit States
• Entanglement production in Quantized Chaotic Systems
• Multipartite W states for chains of atoms conveyed through an optical cavity
• Quantum Information Processing by NMR using strongly coupled spins
• Decoherence Rates in Large Scale Quantum Computers and Macroscopic Systems
• Gravitational effects on entangled states and interferometer with entangled atoms
• Coherence filtration under strictly incoherent operations
• Entanglement Dynamics between Ising Spins and a Central Ancilla
• Structured quantum search in NP-complete problems using the cumulative density of states
• Extending scientific computing system with structural quantum programming capabilities
• QSlack: A slack-variable approach for variational quantum semi-definite programming
• Renormalization of the Unitary Evolution Equation for Coined Quantum Walks
• The speed of Markovian relaxation towards the ground state
• An example of use of Variational Methods in Quantum Machine Learning
• Ternary Logic Design in Topological Quantum Computing
• Preparation of GHZ states via Grover's quantum searching algorithm
• Error-Resilient Floquet Geometric Quantum Computation
• Advance sharing of quantum shares for classical secrets
• Test-State Approach to the Quantum Search Problem
• High Performance Computing and Computational Intelligence Applications with MultiChaos Perspective
• Proof rules for purely quantum programs
• An Optimized Quantum Maximum or Minimum Searching Algorithm and its Circuits
• Quantum revivals of non Rabi type in Jaynes-Cummings model
• Postprocessing can speed up general quantum search algorithms
• Bounds on quantum ordered searching
• Enhancing Grover's Search Algorithm: A Modified Approach to Increase the Probability of Good States
• The role of the atom-cavity detuning in bimodal cavity experiments
• Hilbert Space Average Method and adiabatic quantum search
• Multi-photon Rabi oscillations in high spin paramagnetic impurity
• Universal construction for the unsorted quantum search algorithms
• Realizing flexible two-qubit controlled phase gate with a hybrid solid-state system
• Cryptography in a Quantum World
• Quantum Search Algorithms on Hierarchical Networks
• Unconditional quantum magic advantage in shallow circuit computation
• A proposal for implementing an n-qubit controlled-rotation gate with three-level superconducting qubit systems in cavity QED
• Noise resilience and entanglement evolution in two non-equivalent classes of quantum algorithms
• Multiple-scale integro-differential perturbation method for generic non-Markovian environments
• Quantifiable simulation of quantum computation beyond stochastic ensemble computation
• Zeno-effect Computation: Opportunities and Challenges
• Quantum Oracles in Terms of Universal Gate Set
• Minimal memory requirements for pearl-necklace encoders of quantum convolutional codes
• Quantum key distribution without the wavefunction
• Quantum computing of semiclassical formulas
• Exact quantum lower bound for Grover's problem
• Anonymous estimation of intensity distribution of magnetic fields with quantum sensing network
• Grover's algorithm and human memory
• Entanglement Verification, with or without tomography
• Electron Spin Noise under the Conditions of Nuclei Induced Frequency Focusing
• Complementary-multiphase quantum search for all numbers of target items
• Quantum mechanism of Biological Search
• Quantum Adiabatic Computation and the Travelling Salesman Problem
• ArsoNISQ: Analyzing Quantum Algorithms on Near-Term Architectures
• Singlet aided infinite resource reduction in the comparison of distant fields
• Tangible reduction in learning sample complexity with large classical samples and small quantum system
• Lower bounds for adiabatic quantum algorithms by quantum speed limits
• Steepest Entropy Ascent Solution for a Continuous-Time Quantum Walker
• Quantum Algorithms and Oracles with the Scalable ZX-calculus
• Entanglement, intractability and no-signaling
• Multimarked Spatial Search by Continuous-Time Quantum Walk
• Discrimination of unitary transformations in the Deutsch-Jozsa algorithm
• Quantum-accelerated algorithms for generating random primitive polynomials over finite fields
• A representation of complex rational numbers in quantum mechanics
• Adversary Lower Bound for the Orthogonal Array Problem
• State preparation based on Grover's algorithm in the presence of global information about the state
• Classical model for measurements of an entanglement witness
• A Quantum Approach to the Discretizable Molecular Distance Geometry Problem
• Quantum search algorithm tailored to clause satisfaction problems
• The Future of Computing: Bits + Neurons + Qubits
• Polynomial procedure of avoiding multiqubit errors arising due to qubit-qubit interaction
• Quantum integration of decay rates at second order in perturbation theory
• A Quantum Algorithm for the Sensitivity Analysis of Business Risks
• Quantum annealing showing an exponentially small success probability despite a constant energy gap with polynomial energy
• Scalable ultra-sensitive detection of heterogeneity via coupled bistable dynamics
• Aspects of Quantum Coherence in Nanosystems
• Fast atom-photon entangling gates with a superconducting coplanar waveguide
• Quantum clock models with infinite-range interactions
• Performance of Uncoded Implementation of Grover's Algorithm on Today's Quantum Processors
• Entanglement and Adiabatic Quantum Computation
• Quantum Feasibility Labeling for NP-complete Vertex Coloring Problem
• A Bounded-error Quantum Polynomial Time Algorithm for Two Graph Bisection Problems
• Quantum query complexity of minor-closed graph properties
• Query complexity for searching multiple marked states from an unsorted database
• Quantum compiling with a variational instruction set for accurate and fast quantum computing
• Efficiency of Ground State Quantum Computer
• Threshold quantum cryptograph based on Grover's algorithm
• Quantum jet clustering with LHC simulated data
• Distribution and generation of quantum coherence for Gaussian states in de Sitter space
• Quantum information processing and quantum logic: toward mutual illumination
• Information-Theoretic Meaning of Quantum Information Flow and Its Applications to Amplitude Amplification Algorithms
• Measurement-based interleaved randomised benchmarking using IBM processors
• Finding Solutions to NP Problems: Philosophical Difference Between Quantum and Evolutionary Search Algorithms
• A quantum algorithm for solving some discrete mathematical problems by probing their energy spectra
• Numerical analyses of emission of a single-photon pulse based on single-atom cavity quantum electrodynamics
• A thermodynamic approach to optimization in complex quantum systems
• A Quantum Circuit to Construct All Maximal Cliques Using Grover Search Algorithm
• Simulation of static and random errors on Grover's search algorithm implemented in a Ising nuclear spin chain quantum computer with few qubits
• Quantum versatility in PageRank
• Coherence as resource in scattering quantum walk search on complete graph
• Quantum resources in Harrow-Hassidim-Lloyd algorithm
• Coherence and entanglement dynamics in Shor's algorithm
• Quantum Algorithms with Fixed Points: The Case of Database Search
• Dynamical Aspects of Information Storage in Quantum-Mechanical Systems
• Solving mathematical problems with quantum search algorithm
• Optimal spatial searches with long-range tunneling
• Grover search algorithm
• Linear decomposition of approximate multi-controlled single qubit gates
• Efficient Implementation and the Product State Representation of Numbers
• Universal quantum computing with nanowire double quantum dots
• Near-deterministic quantum search algorithm without phase design
• Fast nuclear-spin entangling gates compatible with large-scale atomic arrays
• Application of quantum algorithms to the study of permutations and group automorphisms
• Long range universal quantum computation in large-size coupled cavity array independent of cavity number
• Grover's Quantum Search Algorithm and Diophantine Approximation
• How big is a quantum computer?
• Quantum search processes in the cyclic group state spaces
• Computation in a general physical setting
• Deterministic two-photon C-Z gate with the two-photon quantum Rabi model
• ROM-based computation: quantum versus classical
• Error-run-time trade-off in the adiabatic approximation beyond scaling relations
• History states of one-dimensional quantum walks
• Improving Gate-Level Simulation of Quantum Circuits
• Algorithm for Finding the Maximum Clique Based on Continuous Time Quantum Walk
• $T$-depth-optimized Quantum Search with Quantum Data-access Machine
• Problem Complexity Research from Energy Perspective
• Entropy Computing, A Paradigm for Optimization in Open Photonic Systems
• Compact gate-based read-out of multiplexed quantum devices with a cryogenic CMOS active inductor
• Measuring the degree of unitarity for any quantum process
• Lorentz Quantum Computer
• A framework for fast quantum mechanical algorithms
• Detecting Entanglement Generating Circuits in Cloud-Based Quantum Computing
• Invariance of success probability in Grover's quantum search under local noise with memory
• Quantum Legendre-Fenchel Transform
• Quantum clustering and jet reconstruction at the LHC
• Quantum Ultra-Walks: Walks on a Line with Hierarchical Spatial Heterogeneity
• Suppressing classical noise in the accelerated geometric phase gate by optimized dynamical decoupling
• Transport and Localization in Quantum Walks on a Random Hierarchy of Barriers
• Simpler Quantum Counting
• Improving quantum annealing by engineering the coupling to the environment
• On Hitting Times for General Quantum Markov Processes
• Dynamical-Corrected Nonadiabatic Geometric Quantum Computation
• Total Functions in QMA
• Correspondence between maximally entangled states in discrete and Gaussian regimes
• Renormalization of Discrete-Time Quantum Walks with non-Grover Coins
• A Quantum Algorithm for Testing Junta Variables and Learning Boolean Functions via Entanglement Measure
• Superposition of Macroscopically Distinct States in Adiabatic Quantum Computation
• Entanglement of weighted graphs uncovers transitions in variable-range interacting models
• Quantum Optics based Algorithm for Measuring the Similarity between Images
• Quantum teleportation and Grover's algorithm without the wavefunction
• Expanding Hardware-Efficiently Manipulable Hilbert Space via Hamiltonian Embedding
• Model-Driven Engineering for Quantum Programming: A Case Study on Ground State Energy Calculation
• Amplitude Amplification and Estimation using a Floquet system
• Implementation of quantum logic gates using coupled Bose-Einstein condensates
• The Learnability of Unknown Quantum Measurements
• Classifying Entanglement by Algebraic Geometry
• Deterministic carving of quantum states with Grover's algorithm
• Quantum Interference in Atomic Systems
• Quantum Hopfield Model
• Open Bisimulation for Quantum Processes
• The universal quantum driving force to speed up a quantum computation -- The unitary quantum dynamics
• QuECT: A New Quantum Programming Paradigm
• Universal quantum control over Majorana zero modes
• Quantum Strategic Game Theory
• Cavity QED implementation of the multi-qubit refined Deutsch-Jozsa algorithm
• Quantum search with advice
• Tunneling Qubit Operation on a Protected Josephson Junction Array
• A unifying separability criterion based on extended correlation tensor
• Demonstration of a variational quantum eigensolver with a solid-state spin system under ambient conditions
• Non-classical Role of Potential Energy in Adiabatic Quantum Annealing
• Toward an understanding of entanglement for generalized n-qubit W-states
• Measurement of an integral of a classical field with a single quantum particle
• A Quantum Performance Simulator based on fidelity and fault-path counting
• A Thermodynamic Turing Machine: Artificial Molecular Computing Using Classical Reversible Logic Switching Networks
• A bird's eye view of quantum computers
• Deleting a marked item from an unsorted database with a single query
• Perfect Quantum Teleportation and Superdense coding with $P_{max}=1/2$ states
• Stabilization of quantum information by combined dynamical decoupling and detected-jump error correction
• Structured Adiabatic Quantum Search
• Implementation of analytic functions with quantum gates
• Separability and entanglement in the Hilbert space reference frames related through the generic unitary transform for four level system
• Quantum search in structured database using local adiabatic evolution and spectral methods
• Quantum Probes Reduce Measurements: Application to Distributed Grover Algorithm
• Optimization of the damped quantum search
• Discrete Fourier Transform in Nanostructures using Scattering
• Nuclear Spins as Quantum Testbeds: Singlet States, Quantum Correlations, and Delayed-choice Experiments
• Early days following Grover's quantum search algorithm
• Quantum Search for Zeros of Polynomials
• Quantum Key Recovery Attack on SIMON Block Cipher
• Efficient production of large-scale optical Schrodinger cat states
• Quantum Information Theory and Applications to Quantum Cryptography
• Quantum Search with Prior Knowledge
• Hypothesis elimination on a quantum computer
• Quantum Amplitude Arithmetic
• Quantum collision finding for homomorphic hash functions
• A flow-map model for analyzing pseudothresholds in fault-tolerant quantum computing
• Adiabatic Quantum Graph Matching with Permutation Matrix Constraints
• Noisy Grover's search algorithm
• Decoherence of Dynamically Manipulated Qubits
• Majorization in Quantum Adiabatic Algorithms
• Efficient scheme for one-way quantum computing in thermal cavities
• Sample-size-reduction of quantum states for the noisy linear problem
• Search and state transfer between hubs by quantum walks
• Spectral Property of Magnetic Quantum Walk on Hypercube
• The Computational Power of Minkowski Spacetime
• Quantum walk on a square lattice with identical particles
• Time-optimal single-scalar control on a qubit of unitary dynamics
• On fixed-gap adiabatic quantum computation
• Investigations in quantum games using EPR-type set-ups
• 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
• Asymptotic bounds on quantum partial search algorithm and its applications to parallel search
• Experimental characterization of the hierarchy of quantum correlations in top quark pairs
• Decoding Quantum Search Advantage: The Critical Role of State Properties in Random Walks
• Entanglement Swapping Model of DNA Replication
• Statistical comparison of ensemble implementations of Grover's search algorithm to classical sequential searches
• Energy Spectrum and Exact Cover in an Extended Quantum Ising Model
• Neural-network-assisted Monte Carlo sampling trained by Quantum Approximate Optimization Algorithm
• Noise tolerance via reinforcement: Learning a reinforced quantum dynamics
• Information-theoretically secure quantum timestamping with one-time universal hashing
• Quantum walk with coherent multiple translations induces fast quantum gate operations
• The Lagrangian and Hamiltonian Aspects of the Electrodynamic Vacuum-Field Theory Models
• Stark-chirped rapid adiabatic passage in the presence of dissipation for quantum computation
• Quantum algorithm for unstructured search of ranked targets
• Classical optimization with imaginary time block encoding on quantum computers: The MaxCut problem
• The Sturm-Liouville eigenvalue problem and NP-complete problems in the quantum setting with queries
• Quantum pattern matching fast on average
• Artificial Orbitals and a Solution to Grover's Problem
• Heralded High-Dimensional Photon-Photon Quantum Gate
• Quantum Algorithm for Testing Graph Completeness
• Quantum search of partially ordered sets
• Quantum Computing by Two-Dimensional NMR using Spin- and Transition-Selective Pulses
• No-signaling, intractability and entanglement
• Introductive Backgrounds of Modern Quantum Mathematics with Application to Nonlinear Dynamical Systems
• Quantum search by continuous-time quantum walk on t-designs
• Characterizing error propagation in quantum circuits: the Isotropic Index
• Quasi-adiabatic Grover search via the WKB approximation
• An intrinsic limitation on the size of quantum database
• Feasibility of performing quantum chemistry calculations on quantum computers
• Making the cut: two methods for breaking down a quantum algorithm
• Multiple Silicon Dangling-Bond Charge qubits for quantum computing: A Hilbert-Space Analysis of the Hamiltonian
• Optimal quantum resource generation in coupled transmons immersed in Markovian baths
• Quantum amplitude amplification algorithm: an explanation of availability bias
• An information-theoretic analysis of Grover's algorithm
• Spin-Boson Model to Demonstrate Quantum Tunneling in Biomolecules using IBM Quantum Computer
• The quantum version of the shifted power method and its application in quadratic binary optimization
• Optimization for the propagation of a multiparticle quantum walk in a one-dimensional lattice
• Principles and Demonstrations of Quantum Information Processing by NMR Spectroscopy
• Quantum Differential Cryptanalysis
• Finite temperature quantum condensations in the space of states: General Proof
• Directional quantum random walk induced by coherence
• Non-Markovian Models of Environmentally-driven Disentanglement in Molecular Charge Qubits
• Efficient quantum algorithm for solving structured problems via multi-step quantum computation
• Is Quantum Search Practical?
• Interrelation of nonclassicality conditions through stabiliser group homomorphism
• A quantum algorithm for examining oracles
• A comfortable graph structure for Grover walk
• Contextuality based quantum conferencing
• Quantum speed-up for solving the one-dimensional Hubbard model using quantum annealing
• Time-frequency-correlated Native CCZ Gate in Superconducting Circuits
• The Topology of Grover Algorithm
• Qrisp Implementation and Resource Analysis of a T-Count-Optimised Non-Restoring Quantum Square-Root Circuit
• A quantum computing scheme for the Hamiltonian path problem
• Projective simulation for artificial intelligence
• Quantum Resource Theories of Anyonic Entanglement
• Spatial search for a general multi-vertex state on graph by continuous-time quantum walks
• Weyl's Relations, Integrable Matrix Models and Quantum Computation
• Finite temperature quantum condensations in the space of states: a new perspective for quantum annealing
• Engineering long-range and multi-body interactions via global kinetic constraints
• Asymptotic Quantum Search and a Quantum Algorithm for Calculation of a Lower Bound of the Probability of Finding a Diophantine Equation That Accepts Integer Solutions
• A Generalization of Grover's Algorithm
• A Universal Quantum Computing Virtual Machine
• Local phase damping of single qubits sets an upper bound on the phase damping rate of entangled states
• Simulating Special but Natural Quantum Circuits
• Improved Quantum Query Complexity on Easier Inputs
• A quantum algorithm for obtaining the lowest eigenstate of a Hamiltonian assisted with an ancillary qubit system
• Realizing an $n$-target-qubit controlled phase gate in cavity QED: An approach without classical pulses
• A useful fundamental speed limit for the imaginary-time Schrodinger equation
• Classical algorithms for Forrelation
• Quantum Multi-object Search Algorithm with the Availability of Partial Information
• Ion Trap Proposal for Quantum Search
• Geometric Measure of Entanglement and Schmidt Decomposition of Multipartite Systems
• Another classical analog of Grover's quantum search
• Probabilistic Coherence Transformation Under Strictly Incoherent Operation
• Quantum Search of Spatial Regions
• Does Quantum Information Require Additional Structure?
• Universal Quantum Computation with Shutter Logic
• Circuit QED: Implementation of the three-qubit refined Deutsch-Jozsa quantum algorithm
• Quantum Computation
• Solving a Maze With a Quantum Computer
• The Signals and Systems Approach to Quantum Computation
• Distributed Exact Generalized Grover's Algorithm
• Contributions to free-space optical communications: feasibility of utilizing Cherenkov telescopes as receivers and beam-wander correction in quantum communications
• Performance Measure for Optimal Quantum Control
• Quantum state transfer and controlled-phase gate on one-dimensional superconducting resonators assisted by a quantum bus
• Considerations about the randomness of bit strings originated from sequences of integer numbers according to a simple quantum computer model
• Experiments with Probabilistic Quantum Auctions
• Quantum search followed by classical search versus quantum search alone
• An extended quantum process algebra (eQPAlg) approach for distributed quantum systems
• Exact Algorithms for 0-1 Integer Programs with Linear Equality Constraints
• Universal quantum gates for photon-atom hybrid systems assisted by bad cavities
• A Novel Clustering Algorithm Based on Quantum Random Walk
• Multi-Qubit Dynamical Quantum Search Algorithm with Dissipation
• Quantum complexity of minimum cut
• Leveraging Unknown Structure in Quantum Query Algorithms
• Blind Quantum Computation without Trusted Center
• Engineering coherent interactions in molecular nanomagnet dimers
• On A Testing and Implementation of Quantum Gate and Measurement Emulator (QGAME)
• Quantum differential cryptanalysis to the block ciphers
• Ancilla Assisted Quantum Information Processing: General protocols and NMR implementations
• Procrastinated Codes
• Towards a Unified Quantum Protocol Framework: Classification, Implementation, and Use Cases
• The unitary dynamical state-locking process, the HSSS quantum search process, and the quantum-computing speedup theory
• Multi-step quantum algorithm for solving the 3-bit exact cover problem
• Super-exponential query complexity reduction via noise-resistant quantum search
• Bounding Run-Times of Local Adiabatic Algorithms
• Shortcuts to adiabaticity and applications to Quantum Computation
• Effect of quantum phase transition in the disentanglement of three spins coupled to an XY spin chain
• Elementary quantum gates in different bases
• Measuring Hamming Distance between Boolean Functions via Entanglement Measure
• A practicable guide to the quantum computation architectures
• Decoherence of the quantum logic gate implemented with the Jaynes-Cummings model: A semiclassical approach
• Notes on a model for fuzzy computing
• One-step implementation of a multi-target-qubit controlled phase gate with cat-state qubits in circuit QED
• Quantum Weighted Model Counting
• A new adiabatic quantum search algorithm
• 0-th quantization or quantum (information) theory in 42 minutes
• Quantum Algorithm for a Convergent Series of Approximations towards the Exact Solution of the Lowest Eigenstates of a Hamiltonian
• Classical and Quantum Data Interaction in Programming Languages: A Runtime Architecture
• A Four-Party Quantum Secret-Sharing Scheme based on Grover's Search Algorithm
• Nonadaptive quantum query complexity
• Quantum Algorithms in Cybernetics
• Zur Integration von Post-Quantum Verfahren in bestehende Softwareprodukte
• The duality-character Solution-Information-Carrying (SIC) unitary propagators
• Quantum counting, and a relevant sign
• Enhanced Framework of Quantum Approximate Optimization Algorithm and Its Parameter Setting Strategy
• An investigation on the nonclassical and quantum phase properties of a family of engineered quantum states
• Computational costs of data definition at the quantum - classical interface
• Initialization Errors in Quantum Data Base Recall
• Quantum Auctions using Adiabatic Evolution: The Corrupt Auctioneer and Circuit Implementations
• NMR Quantum Information Processing and Entanglement
• Designs for a two-dimensional Si quantum dot array with spin qubit addressability
• Quantum Teleportation and Von Neumann Entropy
• Decoherence dynamics of open qubit systems
• Quantum-resistant digital signatures schemes for low-power IoT
• Towards a NISQ Algorithm to Simulate Hermitian Matrix Exponentiation
• Efficient semiquantum key distribution
• Optimal-speed unitary quantum time evolutions and propagation of light with maximal degree of coherence
• Linear Order Matrix Inversion Method with Help from Quantum Searching Algorithm
• Decoherence and Quantum Measurement of Josephson-Junction Qubits
• Photon Frequency Bears More At Less
• Control limit for the quantum state preparation under stochastic control errors
• Implementation of quantum teleportation protocol by superposition of displacement operators with absolute equal but opposite in sign amplitudes
• Quantum relaxed row and column iteration methods based on block-encoding
• Quantum Heaviside Eigen Solver
• No Infinite Tail Beats Optimal Spatial Search
• A note on the runtime of a faulty Hamiltonian oracle
• Scalable, efficient ion-photon coupling with phase Fresnel lenses for large-scale quantum computing
• State transfer with separable optical beams and variational quantum algorithms with classical light
• A Quantum Algorithm for Finding Common Matches Between Databases with Reliable Behavior
• Eigenvalues of quantum walks of Grover and Fourier types
• Provably secure key establishment against quantum adversaries
• General structures of reversible and quantum gates
• Grover Energy Transfer at Relativistic Speeds
• Deterministic linear-optical computing with symmetry-based qubits
• Renormalization Group Solution of the Chutes&Ladder Model
• Incoherent Operations Enable State Transformations Impossible under Dephasing-covariant Incoherent Operations
• Use of Mathematical Logical Concepts in Quantum Mechanics: An Example
• Probabilistic imaginary-time evolution by using forward and backward real-time evolution with a single ancilla: first-quantized eigensolver of quantum chemistry for ground states
• Comments on quant-ph/0506137: Fast quantum search algorithms by qubit comparisons exploiting global phase interference
• Asymptotic optimality of Grover-Radhakrishnan-Korepin algorithm
• Exact quantum search based on analytical multiphase matching for known number of target items and the experimental demonstration on IBM Q
• Optimizing CMOS-compatible, superconducting titanium nitride resonators: Deposition conditions and structuring processes
• Quantum partial search for uneven distribution of multiple target items
• Quantum annealing and condensed matter physics
• Scalable and Highly Fault-Tolerant Circular Quantum Byzantine Agreement
• Quantum Search on Encrypted Data Based on Quantum Homomorphic Encryption
• Phase-sensitive superposition of quantum states
• Quantum Enhanced Pattern Search Optimization
• Next-generation interferometry with gauge-invariant linear optical scatterers
• Simultaneous intraportation of many quantum states within the quantum computing network
• Superoscillating Quantum Control Induced By Sequential Selections
• Structural encoding with classical codes for computational-basis bit-flip correction in the early fault-tolerant regime
• A Fast Quantum Algorithm for the Affine Boolean Function Identification