Quantum Annealing and Analog Quantum Computation

Abstract

We review here the recent success in quantum annealing, i.e., optimization of the cost or energy functions of complex systems utilizing quantum fluctuations. The concept is introduced in successive steps through the studies of mapping of such computationally hard problems to the classical spin glass problems. The quantum spin glass problems arise with the introduction of quantum fluctuations, and the annealing behavior of the systems as these fluctuations are reduced slowly to zero. This provides a general framework for realizing analog quantum computation.

22 pages, 7 figs (color online); new References Added. Reviews of Modern Physics (in press)

References in corpus (15)

• Spatial search by quantum walk
• Quench dynamics across quantum critical points
• Simple proof of equivalence between adiabatic quantum computation and the circuit model
• Exact results for quench dynamics and defect production in a two-dimensional model
• Experimental implementation of an adiabatic quantum optimization algorithm
• Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
• Infinite-range Ising ferromagnet in a time-dependent transverse field: quench and ac dynamics near the quantum critical point
• A Quantum Approach to Classical Statistical Mechanics
• Ferromagnet in a continuously tuneable random field
• Convergence theorems for quantum annealing
• Convergence of Quantum Annealing with Real-Time Schrodinger Dynamics
• Quantum annealing of the random-field Ising model by transverse ferromagnetic interactions
• Faster annealing schedules for quantum annealing
• Study of the phase transition in the 3d Ising spin glass from out of equilibrium numerical simulations
• Quantum wavefunction annealing of spin glasses

Cited by in corpus (404)

• Ising formulations of many NP problems
• Adiabatic Quantum Computing
• Microwave photonics with superconducting quantum circuits
• Quantum information processing with superconducting circuits: a review
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Perspectives of quantum annealing: Methods and implementations
• Qudits and high-dimensional quantum computing
• Mathematical Foundation of Quantum Annealing
• Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
• Perspective: The Glass Transition
• Quantum Annealing for Industry Applications: Introduction and Review
• Can One Trust Quantum Simulators?
• Experimental signature of programmable quantum annealing
• What is the Computational Value of Finite Range Tunneling?
• Quantum critical dynamics in a 5000-qubit programmable spin glass
• Engineered Dissipation for Quantum Information Science
• Minor-embedding in adiabatic quantum computation: II. Minor-universal graph design
• Quantum Computer Systems for Scientific Discovery
• Bifurcation-based adiabatic quantum computation with a nonlinear oscillator network: Toward quantum soft computing
• A case study in programming a quantum annealer for hard operational planning problems
• Quantum versus Classical Annealing of Ising Spin Glasses
• Programmable Interactions and Emergent Geometry in an Atomic Array
• Stimulated Raman adiabatic passage in a three-level superconducting circuit
• Quantum Annealing: An Overview
• Probing for quantum speedup in spin glass problems with planted solutions
• Superadiabatic population transfer in a three-level superconducting circuit
• Exotic Freezing of Response in Quantum Many-Body System
• Observing the space- and time-dependent growth of correlations in dynamically tuned synthetic Ising antiferromagnets
• Decoherence in adiabatic quantum computation
• Glassy Chimeras could be blind to quantum speedup: Designing better benchmarks for quantum annealing machines
• Probing the Universality of Topological Defect Formation in a Quantum Annealer: Kibble-Zurek Mechanism and Beyond
• Edge Deep Learning in Computer Vision and Medical Diagnostics: A Comprehensive Survey
• Prospects for Quantum Enhancement with Diabatic Quantum Annealing
• Quantum annealing with antiferromagnetic fluctuations
• Consistency Tests of Classical and Quantum Models for a Quantum Annealer
• Adiabatic Perturbation Theory and Geometry of Periodically-Driven Systems
• Quantum optimization with arbitrary connectivity using Rydberg atom arrays
• Noisy intermediate-scale quantum computers
• The Quantum Adiabatic Algorithm applied to random optimization problems: the quantum spin glass perspective
• Shortcuts to Adiabaticity in Digitized Adiabatic Quantum Computing
• Beyond-classical computation in quantum simulation
• Applications of Near-Term Photonic Quantum Computers: Software and Algorithms
• Strengths and weaknesses of weak-strong cluster problems: A detailed overview of state-of-the-art classical heuristics vs quantum approaches
• Reverse annealing for the fully connected $p$-spin model
• Quantum fluctuations can promote or inhibit glass formation
• Quantum Computation Based on Quantum Adiabatic Bifurcations of Kerr-Nonlinear Parametric Oscillators
• Quantum annealing correction for random Ising problems
• Time Dependent Markovian Quantum Master Equation
• Traffic Signal Optimization on a Square Lattice with Quantum Annealing
• Reexamining classical and quantum models for the D-Wave One processor
• Probing the Bose-Glass--Superfluid Transition using Quantum Quenches of Disorder
• Nonstoquastic Hamiltonians and Quantum Annealing of an Ising Spin Glass
• Quantum Annealing Correction with Minor Embedding
• Bayesian Network Structure Learning Using Quantum Annealing
• Seeking Quantum Speedup Through Spin Glasses: The Good, the Bad, and the Ugly
• SU(2) lattice gauge theory on a quantum annealer
• Quantum dynamics of a few-photon parametric oscillator
• Quantum bits with Josephson junctions
• Simulating Quantum Materials with Digital Quantum Computers
• Scaling and diabatic effects in quantum annealing with a D-Wave device
• A 16-bit Coherent Ising Machine for One-Dimensional Ring and Cubic Graph Problems
• Tunneling and speedup in quantum optimization for permutation-symmetric problems
• Exponential Enhancement of the Efficiency of Quantum Annealing by Non-Stochastic Hamiltonians
• Prime factorization using quantum annealing and computational algebraic geometry
• A Quantum Annealing Approach for Fault Detection and Diagnosis of Graph-Based Systems
• Exponential Speedup of Quantum Annealing by Inhomogeneous Driving of the Transverse Field
• Dynamics of reverse annealing for the fully-connected $p$-spin model
• Best-case performance of quantum annealers on native spin-glass benchmarks: How chaos can affect success probabilities
• Multivariable Optimization: Quantum Annealing & Computation
• Recent progress in quantum simulation using superconducting circuits
• Exponentially-Biased Ground-State Sampling of Quantum Annealing Machines with Transverse-Field Driving Hamiltonians
• Many-body transverse interactions in the quantum annealing of the p-spin ferromagnet
• A deceptive step towards quantum speedup detection
• Facilitated spin models of dissipative quantum glasses
• Benchmark of quantum-inspired heuristic solvers for quadratic unconstrained binary optimization
• Efficiency of quantum versus classical annealing in non-convex learning problems
• Dissipative quantum bifurcation machine: Quantum heating of coupled nonlinear oscillators
• Quantum Volume in Practice: What Users Can Expect from NISQ Devices
• A Direct Mapping of Max k-SAT and High Order Parity Checks to a Chimera Graph
• MAX 2-SAT with up to 108 qubits
• Quantum annealing of the $p$-spin model under inhomogeneous transverse field driving
• Quantum versus classical annealing: insights from scaling theory and results for spin glasses on 3-regular graphs
• Energetic cost of Hamiltonian quantum gates
• Ground State Spin Logic
• Parallel Quantum Annealing
• Algorithmic simulation of far-from-equilibrium dynamics using quantum computer
• Quantum Annealing vs. QAOA: 127 Qubit Higher-Order Ising Problems on NISQ Computers
• Optimization using Bose-Einstein condensation and measurement-feedback circuits
• Nested Quantum Annealing Correction
• Circuit designs for superconducting optoelectronic loop neurons
• Training and Classification using a Restricted Boltzmann Machine on the D-Wave 2000Q
• Finite temperature quantum annealing solving exponentially small gap problem with non-monotonic success probability
• Non-Stoquastic Interactions in Quantum Annealing via the Aharonov-Anandan Phase
• Polymer Physics by Quantum Computing
• Quantum annealing with longitudinal bias fields
• Digitized-Counterdiabatic Quantum Optimization
• Programmable Quantum Annealing Architectures with Ising Quantum Wires
• Uncertain fate of fair sampling in quantum annealing
• Readiness of Quantum Optimization Machines for Industrial Applications
• Enhancing Quantum Annealing Performance for the Molecular Similarity Problem
• Travel time optimization on multi-AGV routing by reverse annealing
• High-accuracy Ising machine using Kerr-nonlinear parametric oscillators with local four-body interactions
• Scaling overhead of embedding optimization problems in quantum annealing
• Emergent glassy behavior in a kagome Rydberg atom array
• Robust and Efficient Hamiltonian Learning
• Machine Learning Framework for Quantum Sampling of Highly-Constrained, Continuous Optimization Problems
• Application of QUBO solver using black-box optimization to structural design for resonance avoidance
• Quantum annealing correction at finite temperature: ferromagnetic $p$-spin models
• Two-photon driven Kerr resonator for quantum annealing with three-dimensional circuit QED
• Heavy tails in the distribution of time-to-solution for classical and quantum annealing
• Implementation of a Hybrid Classical-Quantum Annealing Algorithm for Logistic Network Design
• Two-parameter counter-diabatic driving in quantum annealing
• Lyapunov control-inspired strategies for quantum combinatorial optimization
• Why and when is pausing beneficial in quantum annealing?
• Programmable Quantum Annealers as Noisy Gibbs Samplers
• Construction of Energy Functions for Lattice Heteropolymer Models: A Case Study in Constraint Satisfaction Programming and Adiabatic Quantum Optimization
• Simulated bifurcation assisted by thermal fluctuation
• Comparative Study of the Performance of Quantum Annealing and Simulated Annealing
• Quantum Monte Carlo tunneling from quantum chemistry to quantum annealing
• Mean field analysis of reverse annealing for code-division multiple-access multiuser detection
• Testing quantum adiabaticity with quench echo
• Relation between quantum fluctuations and the performance enhancement of quantum annealing in a nonstoquastic Hamiltonian
• Simulated quantum annealing as a simulator of non-equilibrium quantum dynamics
• Quantum annealing for systems of polynomial equations
• Chaos in coupled Kerr-nonlinear parametric oscillators
• Disorder overtakes Order in Information Concentration over Quantum Networks
• Constrained quantum annealing of graph coloring
• Fair Sampling by Simulated Annealing on Quantum Annealer
• Modular quantum processor with an all-to-all reconfigurable router
• Variational optimization of the quantum annealing schedule for the Lechner-Hauke-Zoller scheme
• Inhomogeneous quasi-adiabatic driving of quantum critical dynamics in weakly disordered spin chains
• Distribution of Kinks in an Ising Ferromagnet After Annealing and the Generalized Kibble-Zurek Mechanism
• Schedule path optimization for quantum annealing and adiabatic quantum computing
• Solving Larger Maximum Clique Problems Using Parallel Quantum Annealing
• Variational autoencoder reconstruction of complex many-body physics
• Time-optimal control of a dissipative qubit
• Quantum annealing speedup over simulated annealing on random Ising chains
• Intrinsic phonon effects on analog quantum simulators with ultracold trapped ions
• Simulating spin chains using a superconducting circuit: gauge invariance, superadiabatic transport, and broken time-reversal symmetry
• Harnessing non-adiabatic excitations promoted by a quantum critical point
• Analytical solution for nonadiabatic quantum annealing to arbitrary Ising spin Hamiltonian
• Adiabatic Quantum Search in Open Systems
• Advantages of Unfair Quantum Ground-State Sampling
• Scalable effective temperature reduction for quantum annealers via nested quantum annealing correction
• Comparing Three Generations of D-Wave Quantum Annealers for Minor Embedded Combinatorial Optimization Problems
• Application of Pontryagin's Minimum Principle to Grover's Quantum Search Problem
• Constrained optimization as ecological dynamics with applications to random quadratic programming in high dimensions
• Forecasting timelines of quantum computing
• Towards a feasible implementation of quantum neural networks using quantum dots
• Quantum trajectories for time-dependent adiabatic master equations
• A Spin-Optical Quantum Computing Architecture
• Realizing Exactly Solvable SU(N) Magnets with Thermal Atoms
• Quantum Thermodynamics and Quantum Coherence Engines
• Energy gap at first-order quantum phase transitions: An anomalous case
• Simulated quantum annealing of double-well and multi-well potentials
• Quantum annealing and thermalization: insights from integrability
• Optimally Stopped Optimization
• Nested Quantum Annealing Correction at Finite Temperature: $p$-spin models
• Topological and dynamical properties of a generalized cluster model in one dimension
• Dominant Reaction Pathways by Quantum Computing
• Emergent kinetic constraints in open quantum systems
• Improved bound on entropy production in a quantum annealer
• Quantum Dropout: On and Over the Hardness of Quantum Approximate Optimization Algorithm
• Assessment of Quantum Annealing for the Construction of Satisfiability Filters
• Greedy parameter optimization for diabatic quantum annealing
• Error Reduction in Quantum Annealing using Boundary Cancellation: Only the End Matters
• Quantum Annealing - Foundations and Frontiers
• Numerical Gate Synthesis for Quantum Heuristics on Bosonic Quantum Processors
• Quantum Annealing Algorithms for Boolean Tensor Networks
• Counterdiabatic Driving for Periodically Driven Systems
• Dynamics of the quantum search and quench-induced first-order phase transitions
• Experimental and Theoretical Study of Thermodynamic Effects in a Quantum Annealer
• Using Quantum Annealers to Calculate Ground State Properties of Molecules
• Error suppression in adiabatic quantum computing with qubit ensembles
• Improved Bounds for Eigenpath Traversal
• Imaginary time evolution with quantum nondemolition measurements: multi-qubit interactions via measurement nonlinearities
• Breakdown of the weak coupling limit in quantum annealing
• Possible Ergodic-nonergodic regions in the quantum Sherrington-Kirkpatrick spin glass model and quantum annealing
• A double-slit proposal for quantum annealing
• Fair sampling of ground-state configurations of binary optimization problems
• Comparing the effects of Boltzmann machines as associative memory in Generative Adversarial Networks between classical and quantum sampling
• Sampling Rare Conformational Transitions with a Quantum Computer
• Bound state dynamics in the long-range spin-$\frac{1}{2}$ XXZ model
• Anomalous behavior of the energy gap in the one-dimensional quantum XY model
• Digital-Analog Quantum Computation with Arbitrary Two-Body Hamiltonians
• Teacher-student learning for a binary perceptron with quantum fluctuations
• Viewing Vanilla Quantum Annealing Through Spin Glasses
• Entanglement in a quantum neural network based on quantum dots
• Retrieving the ground state of spin glasses using thermal noise: Performance of quantum annealing at finite temperatures
• Quantum and classical annealing in a continuous space with multiple local minima
• Parity Quantum Optimization: Encoding Constraints
• Efficient Detection of Strong-To-Weak Spontaneous Symmetry Breaking via the Rényi-1 Correlator
• Simulating the Transverse Field Ising Model on the Kagome Lattice using a Programmable Quantum Annealer
• Pattern-recalling processes in quantum Hopfield networks far from saturation
• Noise Dynamics of Quantum Annealers: Estimating the Effective Noise Using Idle Qubits
• Exponential capacity of associative memories under quantum annealing recall
• Dynamic-ADAPT-QAOA: An algorithm with shallow and noise-resilient circuits
• ON-OFF Neuromorphic ISING Machines using Fowler-Nordheim Annealers
• Thermal Fluctuations Enhance Order-from-Disorder of Quantum Correlations in Quenched Disordered Spin Models
• Thermal, quantum and simulated quantum annealing: analytical comparisons for simple models
• Towards Prediction of Financial Crashes with a D-Wave Quantum Computer
• Initial State Encoding via Reverse Quantum Annealing and h-gain Features
• Factorization in XYZ spin systems under general fields and separable ground state engineering
• Spontaneous magnetization of quantum $XY$ spin model in joint presence of quenched and annealed disorder
• Opportunities and challenges of quantum computing for climate modelling
• Classical simulation and theory of quantum annealing in a thermal environment
• Quantum adiabatic optimization with Rydberg arrays: localization phenomena and encoding strategies
• Effectiveness of quantum annealing for continuous-variable optimization
• Mean-Field Solution of the Weak-Strong Cluster Problem for Quantum Annealing with Stoquastic and Non-Stoquastic Catalysts
• Constructive Interference Between Disordered Couplings Enhances Multiparty Entanglement in Quantum Heisenberg Spin Glass Models
• Development of Econophysics: A biased account and perspective from Kolkata
• Superconducting qubit circuit emulation of a vector spin-1/2
• High-fidelity non-adiabatic cutting and stitching of a spin chain via local control
• A Quantized Inter-level Character in Quantum Systems
• Quantum annealing and the Schrödinger-Langevin-Kostin equation
• A comparison between D-wave and a classical approximation algorithm and a heuristic for computing the ground state of an Ising spin glass
• Effective spin models of Kerr-nonlinear parametric oscillators for quantum annealing
• Quantum annealing with twisted fields
• Deep learning Local Reduced Density Matrices for Many-body Hamiltonian Estimation
• Order-from-disorder and critical scalings of spontaneous magnetization in random-field quantum spin systems
• Stark localization near Aubry-André criticality
• Cyclic Quantum Annealing: Searching for Deep Low-Energy States in 5000-Qubit Spin Glass
• Combinatorial optimization solving by coherent Ising machines based on spiking neural networks
• VanQver: The Variational and Adiabatically Navigated Quantum Eigensolver
• Quantum Atom Optics: Theory and Applications to Quantum Technology
• Quantum accelerated approach to the thermal state of classical spin systems with applications to pattern-retrieval in the Hopfield neural network
• Ising Machines for Diophantine Problems in Physics
• Approaching the Ground State of a Quantum Spin Glass using a Zero-Temperature Quantum Monte Carlo
• Leveraging Analog Quantum Computing with Neutral Atoms for Solvent Configuration Prediction in Drug Discovery
• Hybrid quantum computing with ancillas
• Exploration of new chemical materials using black-box optimization with the D-wave quantum annealer
• Quantum search using non-Hermitian adiabatic evolution
• Non-Hermitian Quantum Annealing in the Ferromagnetic Ising Model
• Sensitivity of quantum speedup by quantum annealing to a noisy oracle
• Non-Adiabatic Quantum Dynamics of Grover's Adiabatic Search Algorithm
• Eigenstates Transition Without Undergoing an Adiabatic Process
• Performance enhancement of quantum annealing under the Lechner-Hauke-Zoller scheme by non-linear driving of the constraint term
• Dynamics of Order Parameters of Non-stoquastic Hamiltonians in the Adaptive Quantum Monte Carlo Method
• Quantum-inspired optimization for wavelength assignment
• Feeding the multitude: A polynomial-time algorithm to improve sampling
• On the Question of Ergodicity in Quantum Spin Glass Phase and its role in Quantum Annealing
• Frustrated polaritons
• A small-world search for quantum speedup: How small-world interactions can lead to improved quantum annealer designs
• Efficient numerical simulation of complex Josephson quantum circuits
• Low-temperature environments for quantum computation and quantum simulation
• Quantum optimization within lattice gauge theory model on a quantum simulator
• 4-clique Network Minor Embedding for Quantum Annealers
• A Quantum Algorithm for Model-Independent Searches for New Physics
• Deterministic Quantum Annealing Expectation-Maximization Algorithm
• Solving systems of Boolean multivariate equations with quantum annealing
• Quantum annealing approach to Ionic Diffusion in Solid
• Quantum phase transition in a disordered long-range transverse Ising antiferromagnet
• Nonequilibrium work performed in quantum annealing
• Mechanism of Slow Relaxation due to Screening Effect in a Frustrated System
• Unraveling the origin of higher success probabilities in quantum versus semi-classical annealing
• Quantum random walk : effect of quenching
• Non-Hermitian Quantum Annealing in the Antiferromagnetic Ising Chain
• Highly Versatile FPGA-Implemented Cyber Coherent Ising Machine
• Quantum Simulation and Optimization in Hot Quantum Networks
• Sampling a rare protein transition with a hybrid classical-quantum computing algorithm
• Lossy compression of statistical data using quantum annealer
• Quantum annealing speedup of embedded problems via suppression of Griffiths singularities
• Theoretical survey of unconventional quantum annealing methods applied to adifficult trial problem
• Demonstration of long-range correlations via susceptibility measurements in a one-dimensional superconducting Josephson spin chain
• The relationship between minimum gap and success probability in adiabatic quantum computing
• Oscillating potential well in complex plane and the adiabatic theorem
• Dynamical uncertainty propagation with noisy quantum parameters
• Improving Schrödinger Equation Implementations with Gray Code for Adiabatic Quantum Computers
• Quantum mechanics and speed limit of ultrafast local control in spin chains
• Localization in the constrained quantum annealing of graph coloring
• Pulsed quantum annealing
• Practicality of quantum adiabatic algorithm for chemistry applications
• Quantum Monte Carlo Annealing with Multi-Spin Dynamics
• Critical properties of dissipative quantum spin systems in finite dimensions
• Counterdiabatic Route to Entanglement Steering and Dynamical Freezing in the Floquet Lipkin-Meshkov-Glick Model
• Incentivising Demand Side Response through Discount Scheduling using Hybrid Quantum Optimization
• Quantum computing for genomics: conceptual challenges and practical perspectives
• Sampling the ground-state magnetization of d-dimensional p-body Ising models
• Topological Quantum Computation on a Chiral Kondo Chain
• Noise-tolerant quantum speedups in quantum annealing without fine tuning
• Systematic study on the dependence of the warm-start quantum approximate optimization algorithm on approximate solutions
• Proof of efficient, parallelized, universal adiabatic quantum computation
• Quantum annealing of a frustrated magnet
• A numerical approach for calculating exact non-adiabatic terms in quantum dynamics
• Adiabatic approximation for the imaginary-time Schroedinger equation and its application to simulated annealing
• Dissipative Landau-Zener tunneling in the crossover regime from weak to strong environment coupling
• Optimized QUBO formulation methods for quantum computing
• Quantum annealing with a nonvanishing final value of the transverse field
• Quantum Annealing search of Ising spin glass ground state(s) with tunable transverse & longitudinal fields
• Scalable circuit depth reduction in feedback-based quantum optimization with a quadratic approximation
• Dynamics of open quantum systems by interpolation of von Neumann and classical master equations, and its application to quantum annealing
• Implementing transferable annealing protocols for combinatorial optimisation on neutral atom quantum processors: a case study on smart-charging of electric vehicles
• Bifurcation-based quantum annealing with nested spins
• Quantum response to time-dependent external fields
• Convergence condition of simulated quantum annealing for closed and open systems
• Enhancing precision of atomic clocks by tuning disorder in accessories
• Effects of low-lying excitations on ground-state energy and energy gap of Sherrington-Kirkpatrick model in transverse field
• Quantum Spinodal Phenomena
• Exact expression of the energy gap at first-order quantum phase transitions of a non-stoquastic Hamiltonian
• Excited state search using quantum annealing
• A Novel Quantum Transition in a Fully Frustrated Transverse Ising Antiferromagnet
• Quantum field theory solution for a short-range interacting SO(3) quantum spin-glass
• Advantages of fixing spins in quantum annealing
• Experimental Determination of Electronic States via Digitized Shortcut-to-Adiabaticity and Sequential Digitized Adiabaticity
• Nonstoquastic catalyst for bifurcation-based quantum annealing of ferromagnetic $p$-spin model
• Quantum adiabatic theorem for unbounded Hamiltonians with a cutoff and its application to superconducting circuits
• Analysis of a Programmable Quantum Annealer as a Random Number Generator
• Solving rescheduling problems in heterogeneous urban railway networks using hybrid quantum-classical approach
• Glassy disorder-induced effects in noisy dynamics of Bose-Hubbard and Fermi-Hubbard systems
• Response of entanglement to annealed vis-à-vis quenched disorder in quantum spin models
• Optimally Stopped Variational Quantum Algorithms
• Computational complexity of three-dimensional Ising spin glass: Lessons from D-Wave annealer
• Singular-value decomposition using quantum annealing
• Quantum annealing of Cayley-tree Ising spins at small scales
• Quantum Integer Programming (QuIP) 47-779: Lecture Notes
• Physical consequences of P$\ne$NP and the DMRG-annealing conjecture
• Quantum walk in a reinforced free-energy landscape: Quantum annealing with reinforcement
• Quantum Annealing with chaotic driver Hamiltonians
• An optical Ising spin glass simulator with tuneable short range couplings
• Adiabatic evolution on a spatial-photonic Ising machine
• Separability and parity transitions in $XYZ$ spin systems under nonuniform fields
• Quantum Phase Transition in Fully-Connected Quantum Wajnflasz-Pick Model
• Enhancing Quantum Annealing in Digital-Analog Quantum Computing
• Entanglement-assisted variational algorithm for discrete optimization problems
• Analysis of the Hopfield Model with Discrete Coupling
• Impact of Fixing Spins in a Quantum Annealer with Energy Rescaling
• Optimization via Quantum Preconditioning
• Quantum annealing showing an exponentially small success probability despite a constant energy gap with polynomial energy
• Deep Unfolded Local Quantum Annealing
• Estimating phase transition of perturbed J1-J2 Heisenberg quantum chain in mixtures of ground and first excited states
• RinQ: Towards predicting central sites in proteins on current quantum computers
• Reformulating Regression Test Suite Optimization using Quantum Annealing -- an Empirical Study
• Mapping State Transition Susceptibility in Quantum Annealing
• Ising Hamiltonians for Constrained Combinatorial Optimization Problems and the Metropolis-Hastings Warm-Starting Algorithm
• Posiform Planting: Generating QUBO Instances for Benchmarking
• Computational Bottlenecks of Quantum Annealing
• Trends of information backflow in disordered spin chains
• SWIFT-FMQA: Enhancing Factorization Machine with Quadratic-Optimization Annealing via Sliding Window
• Transforming optimization problems into a QUBO form: A tutorial
• Asymptotic Exceptional Steady States in Dissipative Dynamics
• Non-classical Role of Potential Energy in Adiabatic Quantum Annealing
• Quantum Field Induced Orderings in Fully Frustrated Ising Spin Systems
• Addressing general measurements in quantum Monte Carlo
• Development of research network on Quantum Annealing Computation and Information using Google Scholar data
• Systematic and Efficient Construction of Quadratic Unconstrained Binary Optimization Forms for High-order and Dense Interactions
• Multiobjective Optimization in a Quantum Adiabatic Computer
• Iterative classical superadiabatic algorithm for combinatorial optimization
• Absence of small-world effects at the quantum level and stability of the quantum critical point
• Reduction of the energy-gap scaling by coherent catalysis in models of quantum annealing
• Quench dynamics in spin crossover induced by high pressure
• Microscopics of Quantum Annealing in the Disordered Dipolar Ising Ferromagnet LiHo${}_x$Y${}_{1-x}$F${}_4$
• Quantum Annealing and Computation: A Brief Documentary Note
• Boson sampling with ultracold atoms in a programmable optical lattice
• Investigating the Performance of an Adiabatic Quantum Optimization Processor
• Non-Hermitian Adiabatic Quantum Optimization
• Superconducting Quantum Computing Without Entanglement?
• Superposition of Macroscopically Distinct States in Adiabatic Quantum Computation
• Quantum Annealing in SK Model Employing Suzuki-Kubo-deGennes Quantum Ising Mean Field Dynamics
• Excited-State Adiabatic Quantum Computation Started with Vacuum States
• First-Order Excited-State Quantum Phase Transition in the Transverse Ising Model with a Longitudinal Field
• Increasing the Hardness of Posiform Planting Using Random QUBOs for Programmable Quantum Annealer Benchmarking
• Effect of Quantum Statistics on Computational Power of Atomic Quantum Annealers
• A scaling theory of quantum breakdown in solids
• A quantum diffusion network
• Classical Simulated Annealing Using Quantum Analogues
• Hardware-efficient quantum annealing with error mitigation via classical shadow
• Designing topological cluster synchronization patterns with the Dirac operator
• Comparing Quantum Annealing and Spiking Neuromorphic Computing for Sampling Binary Sparse Coding QUBO Problems
• Polaron formation in a spin chain by measurement-induced imaginary Zeeman field
• Time-dependent Real-space Renormalization-Group Approach: application to an adiabatic random quantum Ising model
• Graph Coloring via Quantum Optimization on a Rydberg-Qudit Atom Array
• Relaxation of the EM Algorithm via Quantum Annealing for Gaussian Mixture Models
• Relation of classical non-equilibrium dynamics and quantum annealing
• Quantum fidelity kernel with a trapped-ion simulation platform
• Analog Errors in Quantum Annealing: Doom and Hope
• Subsampling Factorization Machine Annealing
• Relaxation of the EM Algorithm via Quantum Annealing
• Analytical shortcuts to adiabaticity of weakly driven processes
• Pattern Description of Quantum Phase Transitions in the Transverse Antiferromagnetic Ising Model with a Longitudinal Field
• Signatures of quantum chaos and complexity in the Ising model on random graphs
• Localization with non-Hermitian off-diagonal disorder
• Mechanism of defect formation in the quantum annealing of the random transverse-field Ising chain
• Quantitative analysis of the effectiveness of mid-anneal measurement in quantum annealing
• Lack of a thermodynamic finite-temperature spin-glass phase in the two-dimensional randomly-coupled ferromagnet
• Quantum imaginary time evolution and UD-MIS problem
• Ancillary entangling Floquet kicks for accelerating quantum algorithms
• Variational matrix product states for combinatorial optimization
• Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model
• Resilience-Runtime Tradeoff Relations for Quantum Algorithms
• Variational Quantum Algorithm for Constrained Combinatorial Optimization Problems
• Improving adiabatic quantum factorization via chopped random-basis optimization
• Optimization of conveyance of quantum particles by moving potential well
• Steady state distributions of network of degenerate optical parametric oscillators in solving combinatorial optimization problems
• Multipartite entanglement in quantum phase transitions
• Effects of Graph Network Connections on The Efficiency of Quantum Annealing
• Upper bound inequality for calculation time in simulated annealing analogous to adiabatic theorem in quantum systems
• Context Mixing via Ground State Search
• Annealing Approach to Quantum Tomography
• Extracting the trustworthiest way to service provider in complex online social networks
• Quantum Computation
• An almost deterministic cooling by measurements
• Quantum Walker in Presence of a Moving Detector
• Quantum-inspired search method for low-energy states of classical Ising Hamiltonians
• Controlled Quantized Adiabatic Transport in a superlattice Wannier-Stark ladder