Quantum Annealing in the Transverse Ising Model

Abstract

We introduce quantum fluctuations into the simulated annealing process of optimization problems, aiming at faster convergence to the optimal state. Quantum fluctuations cause transitions between states and thus play the same role as thermal fluctuations in the conventional approach. The idea is tested by the transverse Ising model, in which the transverse field is a function of time similar to the temperature in the conventional method. The goal is to find the ground state of the diagonal part of the Hamiltonian with high accuracy as quickly as possible. We have solved the time-dependent Schrödinger equation numerically for small size systems with various exchange interactions. Comparison with the results of the corresponding classical (thermal) method reveals that the quantum annealing leads to the ground state with much larger probability in almost all cases if we use the same annealing schedule.

15 pages, RevTeX, 8 figures

References in corpus (1)

• Convergence of simulated annealing by the generalized transition probability

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• Annealing-Assisted Column Generation for Inequality-Constrained Combinatorial Optimization Problems
• Spin Superfluid Josephson Phase Qubits
• Quantum simulation of zero temperature quantum phases and incompressible states of light via non-Markovian reservoir engineering techniques
• Parity Quantum Optimization: Encoding Constraints
• Statistical-mechanical analysis of compressed sensing for Hamiltonian estimation of Ising spin glass
• Fair Sampling Error Analysis on NISQ Devices
• Pattern-recalling processes in quantum Hopfield networks far from saturation
• Minimal Constraints in the Parity Formulation of Optimization Problems
• Permutation Matrix Representation Quantum Monte Carlo
• Quantum annealing of pure and random Ising chains coupled to a bosonic environment
• Exploring Quantum Annealing Architectures: A Spin Glass Perspective
• Ising Hamiltonian Minimization: Gain-Based Computing with Manifold Reduction of Soft-Spins vs Quantum Annealing
• Binary Control Pulse Optimization for Quantum Systems
• Quantum Annealing for Clustering
• Continuous quantum gate sets and pulse class meta-optimization
• A quantum annealing-sequential quadratic programming assisted finite element simulation for non-linear and history-dependent mechanical problems
• Thermal, quantum and simulated quantum annealing: analytical comparisons for simple models
• Combinatorial Optimization with Quantum Computers
• Customized quantum annealing schedules
• Quantum computing approach to railway dispatching and conflict management optimization on single-track railway lines
• A Benchmarking Study of Quantum Algorithms for Combinatorial Optimization
• Investigating Quantum Approximate Optimization Algorithms under Bang-bang Protocols
• Quantum Annealing for Variational Bayes Inference
• Dual time scales in simulated annealing of a two-dimensional Ising spin glass
• Ergodic and localized regions in quantum spin glasses on the Bethe lattice
• Exploring Unsupervised Anomaly Detection with Quantum Boltzmann Machines in Fraud Detection
• Variational quantum iterative power algorithms for global optimization
• Patch-planting spin-glass solution for benchmarking
• Quantum annealing for hard 2-SAT problems : Distribution and scaling of minimum energy gap and success probability
• Classical simulation and theory of quantum annealing in a thermal environment
• Grover-QAOA for 3-SAT: Quadratic Speedup, Fair-Sampling, and Parameter Clustering
• Nonequilibrium work on spin glasses in longitudinal and transverse fields
• Quantum adiabatic optimization with Rydberg arrays: localization phenomena and encoding strategies
• Mediator assisted cooling in quantum annealing
• Phase transition of Frustrated Ising model via D-wave Quantum Annealing Machine
• Optimization in random field Ising models by quantum annealing
• Anneal-path correction in flux qubits
• Convergence of Digitized-Counterdiabatic QAOA: circuit depth versus free parameters
• Quantum Annealing for Dirichlet Process Mixture Models with Applications to Network Clustering
• 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
• Incoherent quantum algorithm dynamics of an open system with near-term devices
• Transit facility allocation: Hybrid quantum-classical optimization
• Quantum-Assisted Joint Caching and Power Allocation for Integrated Satellite-Terrestrial Networks
• Deep learning optimal quantum annealing schedules for random Ising models
• Initial State Encoding via Reverse Quantum Annealing and h-gain Features
• Solving SAT and MaxSAT with a Quantum Annealer: Foundations, Encodings, and Preliminary Results
• Elementary Proof of QAOA Convergence
• Quantum Approximate Optimization Algorithm Parameter Prediction Using a Convolutional Neural Network
• Diagonal Catalysts in Quantum Adiabatic Optimization
• Fast quantum algorithms for traversing paths of eigenstates
• Realization of programmable Ising models in a trapped-ion quantum simulator
• Combinatorial optimization solving by coherent Ising machines based on spiking neural networks
• From Ansätze to Z-gates: a NASA View of Quantum Computing
• VanQver: The Variational and Adiabatically Navigated Quantum Eigensolver
• Disorder-assisted graph coloring on quantum annealers
• Effective spin models of Kerr-nonlinear parametric oscillators for quantum annealing
• Digitized Counterdiabatic Quantum Algorithms for Logistics Scheduling
• Quantum annealing with twisted fields
• A Quantum Extension of Variational Bayes Inference
• Cyclic Quantum Annealing: Searching for Deep Low-Energy States in 5000-Qubit Spin Glass
• Reweight-annealing method for evaluating the partition function via quantum Monte Carlo calculations
• Real-time simulation of flux qubits used for quantum annealing
• A comparison between D-wave and a classical approximation algorithm and a heuristic for computing the ground state of an Ising spin glass
• Preparing ground states of the XXZ model using the quantum annealing with inductively coupled superconducting flux qubits
• Approaching the Ground State of a Quantum Spin Glass using a Zero-Temperature Quantum Monte Carlo
• On the dynamics of Simulated Quantum Annealing in random Ising chains
• Quantum Speedup of the Dispersion and Codebook Design Problems
• Quantum Goemans-Williamson Algorithm with the Hadamard Test and Approximate Amplitude Constraints
• Hybrid annealing using a quantum simulator coupled to a classical computer
• Quantum accelerated approach to the thermal state of classical spin systems with applications to pattern-retrieval in the Hopfield neural network
• Leveraging Analog Quantum Computing with Neutral Atoms for Solvent Configuration Prediction in Drug Discovery
• Ising Machines for Diophantine Problems in Physics
• Algebraic and group structure for bipartite three dimensional anisotropic Ising model on a non-local basis
• Spin correlations of quantum-spin-liquid and quadrupole-ordered states of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Performance enhancement of quantum annealing under the Lechner-Hauke-Zoller scheme by non-linear driving of the constraint term
• Fast Classical Simulation of Hamiltonian Dynamics by Simultaneous Diagonalization Using Clifford Transformation with Parallel Computation
• Tunneling in projective quantum Monte Carlo simulations with guiding wave functions
• On the quantum spin glass transition on the Bethe lattice
• Advantage of pausing: parameter setting for quantum annealers
• Stoquasticity in circuit QED
• Non-Adiabatic Quantum Dynamics of Grover's Adiabatic Search Algorithm
• Dynamics of Order Parameters of Non-stoquastic Hamiltonians in the Adaptive Quantum Monte Carlo Method
• Vacancies in graphene: an application of adiabatic quantum optimization
• Towards an Automatic Framework for Solving Optimization Problems with Quantum Computers
• A Formulation of Structural Design Optimization Problems for Quantum Annealing
• Design Optimization of Noise Filter using Quantum Annealer
• Exploration of new chemical materials using black-box optimization with the D-wave quantum annealer
• Sensitivity of quantum speedup by quantum annealing to a noisy oracle
• Non-Hermitian Quantum Annealing in the Ferromagnetic Ising Model
• Tutorial: Calibration refinement in quantum annealing
• Rapid mixing of path integral Monte Carlo for 1D stoquastic Hamiltonians
• Topological Quantum Gates in Homotopy Type Theory
• Error measurements for a quantum annealer using the one-dimensional Ising model with twisted boundaries
• Programmable adiabatic demagnetization for systems with trivial and topological excitations
• Emergence of noise-induced barren plateaus in arbitrary layered noise models
• Semi-supervised time series classification method for quantum computing
• Quantum search using non-Hermitian adiabatic evolution
• Lossy compression of matrices by black-box optimisation of mixed integer nonlinear programming
• Probability distributions for Markov chains based quantum walks
• Mean-field Coherent Ising Machines with artificial Zeeman terms
• Test Case Minimization with Quantum Annealers
• Track clustering with a quantum annealer for primary vertex reconstruction at hadron colliders
• Quantum Vertex Model for Reversible Classical Computing
• Matter wave coupling of spatially separated and unequally pumped polariton condensates
• Feeding the multitude: A polynomial-time algorithm to improve sampling
• Computing Graph Edit Distance with Algorithms on Quantum Devices
• Solving systems of Boolean multivariate equations with quantum annealing
• Localization transition induced by programmable disorder
• Accelerating equilibrium spin-glass simulations using quantum annealers via generative deep learning
• Quantum optimization within lattice gauge theory model on a quantum simulator
• Virtual distillation with noise dilution
• Blockchain platform with proof-of-work based on analog Hamiltonian optimisers
• Deterministic Quantum Annealing Expectation-Maximization Algorithm
• Dual-Matrix Domain-Wall: A Novel Technique for Generating Permutations by QUBO and Ising Models with Quadratic Sizes
• Perils of Embedding for Quantum Sampling
• Toward Practical Benchmarks of Ising Machines: A Case Study on the Quadratic Knapsack Problem
• Classical and Quantum Annealing in the Median of Three Satisfiability
• A small-world search for quantum speedup: How small-world interactions can lead to improved quantum annealer designs
• Quantum control of Rydberg atoms for mesoscopic-scale quantum state and circuit preparation
• How to Compute Using Quantum Walks
• Balancing coherent and dissipative dynamics in a central-spin system
• Loop Feynman integration on a quantum computer
• Image Analysis Based on Nonnegative/Binary Matrix Factorization
• Local Energy Distribution Based Hyperparameter Determination for Stochastic Simulated Annealing
• Hybrid Optimization Method Using Simulated-Annealing-Based Ising Machine and Quantum Annealer
• Quantum annealing approach to Ionic Diffusion in Solid
• Beyond the Born-Markov approximation: dissipative dynamics of a single qubit
• On the Question of Ergodicity in Quantum Spin Glass Phase and its role in Quantum Annealing
• Computing Wasserstein Distance for Persistence Diagrams on a Quantum Computer
• Hybrid quantum-classical computation for automatic guided vehicles scheduling
• Enhancing quantum annealing performance by a degenerate two-level system
• Frustrated polaritons
• Adiabatic evolution of a coupled-qubit Hamiltonian
• Decoherence in a dynamical quantum phase transition
• How Quantum is the Speedup in Adiabatic Unstructured Search?
• Nonvolatile bistable memory and Ising machine based on Micro-Electro-Mechanical Systems
• Scaling of errors in digitized counterdiabatic driving
• Simple scheme for extracting work with a single bath
• Non-monotonic Dynamics in Frustrated Ising Model with Time-Dependent Transverse Field
• Optimizing Geometry Compression using Quantum Annealing
• Compact spin qubits using the common gate structure of fin field-effect transistors
• Post-processing variationally scheduled quantum algorithm for constrained combinatorial optimization problems
• A Hybrid Quantum-Classical Approach to the Electric Mobility Problem
• Semiclassical approach to finite temperature quantum annealing with trapped ions
• Theoretical survey of unconventional quantum annealing methods applied to adifficult trial problem
• Non-Hermitian Quantum Annealing in the Antiferromagnetic Ising Chain
• Phase transitions in the frustrated Ising ladder with stoquastic and nonstoquastic catalysts
• Highly Versatile FPGA-Implemented Cyber Coherent Ising Machine
• Quantum Annealing for Variational Bayes Inference
• Highly Efficient Encoding for Job-Shop Scheduling Problems and its Application on Quantum Computers
• Mechanism of Slow Relaxation due to Screening Effect in a Frustrated System
• Nonequilibrium work performed in quantum annealing
• Locally Suppressed Transverse-Field Protocol for Diabatic Quantum Annealing
• Breaking RSA Security With A Low Noise D-Wave 2000Q Quantum Annealer: Computational Times, Limitations And Prospects
• Forbidden subspaces for level-1 QAOA and IQP circuits
• A regression algorithm for accelerated lattice QCD that exploits sparse inference on the D-Wave quantum annealer
• Efficient variational quantum circuit structure for correlated topological phases
• Classical simulation of boson sampling with sparse output
• Efficient quantum and simulated annealing of Potts models using a half-hot constraint
• On the hardness of quadratic unconstrained binary optimization problems
• Finding Optimal Pathways in Chemical Reaction Networks Using Ising Machines
• Realizable Quantum Adiabatic Search
• Maximum-Likelihood Channel Decoding with Quantum Annealing Machine
• Quantum annealing speedup of embedded problems via suppression of Griffiths singularities
• Unraveling the origin of higher success probabilities in quantum versus semi-classical annealing
• Ion native variational ansatz for quantum approximate optimization
• Lossy compression of statistical data using quantum annealer
• Practicality of quantum adiabatic algorithm for chemistry applications
• Improving Schrödinger Equation Implementations with Gray Code for Adiabatic Quantum Computers
• PyQUBO: Python Library for Mapping Combinatorial Optimization Problems to QUBO Form
• Subspace projection method for unstructured searches with noisy quantum oracles using a signal-based quantum emulation device
• Local Binary and Multiclass SVMs Trained on a Quantum Annealer
• Individual subject evaluated difficulty of adjustable mazes generated using quantum annealing
• Quantum walk on a graph of spins: magnetism and entanglement
• The quantum annealing gap and quench dynamics in the exact cover problem
• Quantum-Assisted Joint Virtual Network Function Deployment and Maximum Flow Routing for Space Information Networks
• Quantum Monte Carlo Annealing with Multi-Spin Dynamics
• GPU-accelerated simulated annealing based on p-bits with real-world device-variability modeling
• Quantum Annealing Machine based on Floating Gate Array
• Message-passing algorithm of quantum annealing with nonstoquastic Hamiltonian
• Influence of Different 3SAT-to-QUBO Transformations on the Solution Quality of Quantum Annealing: A Benchmark Study
• Pulsed quantum annealing
• A general formulation of time-optimal quantum control and optimality of singular protocols
• Construction of non-convex polynomial loss functions for training a binary classifier with quantum annealing
• Quantum algorithm for spectral projection by measuring an ancilla iteratively
• Hybrid Algorithm of Linear Programming Relaxation and Quantum Annealing
• Counterdiabatic Driving with Performance Guarantees
• Quadratic unconstrained binary optimization formulation for rectified-linear-unit-type functions
• Critical properties of dissipative quantum spin systems in finite dimensions
• Localization in the constrained quantum annealing of graph coloring
• Obstacles to quantum annealing in a planar embedding of XORSAT
• Dissipative failure of adiabatic quantum transport as a dynamical phase transition
• Why adiabatic quantum annealing is unlikely to yield speed-up
• Modernizing Quantum Annealing II: Genetic algorithms with the Inference Primitive Formalism
• A quantum algorithm for solving 0-1 Knapsack problems
• Petri Net Modeling for Ising Model Formulation in Quantum Annealing
• Rapid quantum approaches for combinatorial optimisation inspired by optimal state-transfer
• Diagnosing First and Second Order Phase Transitions with Probes of Quantum Chaos
• Quantum Machine Learning and its Supremacy in High Energy Physics
• A classical limit of Grover's algorithm induced by dephasing: Coherence vs entanglement
• Quantum Annealing Machines Based on Semiconductor Nanostructures
• Quantum optimization with linear Ising penalty functions for customer data science
• Incentivising Demand Side Response through Discount Scheduling using Hybrid Quantum Optimization
• Eigenvalue-invariant transformation of Ising problem for anti-crossing mitigation in quantum annealing
• Quantum annealing with a nonvanishing final value of the transverse field
• Quantum-Annealing-Inspired Algorithms for Track Reconstruction at High-Energy Colliders
• Dynamics of open quantum systems by interpolation of von Neumann and classical master equations, and its application to quantum annealing
• Noise-tolerant quantum speedups in quantum annealing without fine tuning
• First-quantized adiabatic time evolution for the ground state of a many-electron system and the optimal nuclear configuration
• Adiabatic time evolution of highly excited states
• Adiabatic approximation for the imaginary-time Schroedinger equation and its application to simulated annealing
• Rigorous convergence condition for quantum annealing
• Quantum Annealing search of Ising spin glass ground state(s) with tunable transverse & longitudinal fields
• Probabilistic Label Relation Graphs with Ising Models
• Quantum circuit compilation with quantum computers
• A near-term quantum simulation of the transverse field Ising model hints at Glassy Dynamics
• Infinite-range transverse field Ising models and quantum computation
• Proof of efficient, parallelized, universal adiabatic quantum computation
• A strategy for solving difficulties in spin-glass simulations
• Online calibration scheme for training restricted Boltzmann machines with quantum annealing
• QFitter -- A Quantum Fitting Framework Applied to Effective Field Theories
• How do higher-order interactions shape the energy landscape?
• Path-Integral Quantum Monte Carlo simulation with Open-Boundary Conditions
• Implementation of spectral methods on Ising machines: toward flow simulations on quantum annealer
• Unraveling Reverse Annealing: A Study of D-Wave Quantum Annealers
• Quantum Spinodal Phenomena
• Annealing for prediction of grand canonical crystal structures: Efficient implementation of n-body atomic interactions
• How to experimentally evaluate the adiabatic condition for quantum annealing
• Exact expression of the energy gap at first-order quantum phase transitions of a non-stoquastic Hamiltonian
• Graph minor embedding can affect sampling degenerate ground states using quantum annealing
• Quantum annealing sampling with a bias field
• Circuit lower bounds for low-energy states of quantum code Hamiltonians
• Difference between quantum annealing by imaginary-time and real-time Schrödinger equation of Grover's search
• Performance Models for Split-execution Computing Systems
• Speeding up Quantum Annealing with Engineered Dephasing
• Limitations of tensor network approaches for optimization and sampling: A comparison to quantum and classical Ising machines
• Bounds for nonadiabatic transitions
• Quantum response to time-dependent external fields
• Improving nonstoquastic quantum annealing with spin-reversal transformations
• Entropic barriers as a reason for hardness in both classical and quantum algorithms
• Deterministic flows of order-parameters in stochastic processes of quantum Monte Carlo method
• Performance evaluation of invariant-based inverse engineering by quantum speed limit
• A Predictive Approach for Selecting the Best Quantum Solver for an Optimization Problem
• Effects of low-lying excitations on ground-state energy and energy gap of Sherrington-Kirkpatrick model in transverse field
• Compressed space quantum approximate optimization algorithm for constrained combinatorial optimization
• Exploring the topological sector optimization on quantum computers
• Counterdiabatic Hamiltonians for multistate Landau-Zener problem
• Statistical Mechanics of the Quantum K-Satisfiability problem
• Quantum annealing with pairs of ${}^2\Sigma$ molecules as qubits
• Load Balancing For High Performance Computing Using Quantum Annealing
• Towards Arbitrary QUBO Optimization: Analysis of Classical and Quantum-Activated Feedforward Neural Networks
• QUBO Decision Tree: Annealing Machine Extends Decision Tree Splitting
• Symmetric Trotterization in digital quantum simulation of quantum spin dynamics
• Convergence condition of simulated quantum annealing for closed and open systems
• Analysis of the shortest vector problems with the quantum annealing to search the excited states
• Bifurcation-based quantum annealing with nested spins
• Excited state search using quantum annealing
• Quantum adiabatic optimization without heuristics
• The effect of quantum fluctuations on the coloring of random graphs
• Optimal protocols for finite-duration quantum quenches in the Luttinger model
• Ising-Dropout: A Regularization Method for Training and Compression of Deep Neural Networks
• Spin treacle in a frustrated magnet observed with spin current
• Supercomputer simulations of transmon quantum computers
• A proposal of noise suppression for quantum annealing
• Quantum Integer Programming (QuIP) 47-779: Lecture Notes
• Tunneling time from spin fluctuations in Larmor clock
• Convergence Acceleration of Markov Chain Monte Carlo-based Gradient Descent by Deep Unfolding
• Equalized Hyperspin Machine
• End-to-End Portfolio Optimization with Quantum Annealing
• Performance of quantum annealing for 2-SAT problems with multiple satisfying assignments
• Inductive Construction of Variational Quantum Circuit for Constrained Combinatorial Optimization
• Computational complexity of three-dimensional Ising spin glass: Lessons from D-Wave annealer
• Advantages of fixing spins in quantum annealing
• Quantum Annealing based Power Grid Partitioning for Parallel Simulation
• Encoded probabilistic imaginary-time evolution on a trapped-ion quantum computer for ground and excited states of spin qubits
• Continuous-time quantum optimisation without the adiabatic principle
• Quantum Annealers Chain Strengths: A Simple Heuristic to Set Them All
• Zeno-effect Computation: Opportunities and Challenges
• Effect of Constraint Relaxation on the Minimum Vertex Cover Problem in Random Graphs
• A general learning scheme for classical and quantum Ising machines
• Reducing defect production in random transverse-field Ising chains by inhomogeneous driving fields
• Analysis of a Programmable Quantum Annealer as a Random Number Generator
• Near-Landauer-Bound Quantum Computing Using Single Spins
• Spectroscopic estimation of the photon number for superconducting Kerr parametric oscillators
• Nonstoquastic catalyst for bifurcation-based quantum annealing of ferromagnetic $p$-spin model
• Quantum Advantage in Variational Bayes Inference
• Demonstration of error-suppressed quantum annealing via boundary cancellation
• Quantum-Assisted Support Vector Regression
• Metropolis-style random sampling of quantum gates for the estimation of low-energy observables
• Quantum Zeno approach for molecular energies with maximum commuting initialHamiltonians
• Topological Aspects of Matters and Langlands Program
• Propagation of quantum fluctuations in quantum Ising model
• The performance of the quantum adiabatic algorithm on spike Hamiltonians
• Singular-value decomposition using quantum annealing
• Semiclassical quantization of nonadiabatic systems with hopping periodic orbits
• Quantum Phase Transition in Fully-Connected Quantum Wajnflasz-Pick Model
• Posiform Planting: Generating QUBO Instances for Benchmarking
• Quantum walk in a reinforced free-energy landscape: Quantum annealing with reinforcement
• A Lattice-Reduction Aided Vector Perturbation Precoder Relying on Quantum Annealing
• Post-Error Correction for Quantum Annealing Processor using Reinforcement Learning
• Improving the efficiency of quantum annealing with controlled diagonal catalysts
• Reverse quantum annealing assisted by forward annealing
• Reformulating Regression Test Suite Optimization using Quantum Annealing -- an Empirical Study
• Exact bounds on the energy gap of transverse-field Ising chains by mapping to random walks
• Classical Criticality via Quantum Annealing
• Using copies to improve precision in continuous-time quantum computing
• Optimized numerical gradient and Hessian estimation for variational quantum algorithms
• Analysis of the Hopfield Model with Discrete Coupling
• Subgradient Method using Quantum Annealing for Inequality-Constrained Binary Optimization Problems
• Quantum wavefunction annealing of spin glasses
• Quantum Computing Approach for Energy Optimization in a Prosumer Community
• Phase transitions and gaps in quantum random energy models
• General-relativistic spin system
• Entropy Computing, A Paradigm for Optimization in Open Photonic Systems
• Quantum-thermal annealing with cluster-flip algorithm
• Mapping State Transition Susceptibility in Quantum Annealing
• Neural optimization for quantum architectures: graph embedding problems with Distance Encoder Networks
• Quadratic constrained mixed discrete optimization with an adiabatic quantum optimizer
• Diabatic quantum and classical annealing of the Sherrington-Kirkpatrick model
• NISQ-ready community detection based on separation-node identification
• Quantum annealing showing an exponentially small success probability despite a constant energy gap with polynomial energy
• Quantum Annealing Learning Search Implementations
• Impact of Fixing Spins in a Quantum Annealer with Energy Rescaling
• Spin networks on adiabatic quantum computer
• Extending the Q-score to an Application-level Quantum Metric Framework
• Deciding finiteness of bosonic dynamics with tunable interactions
• Enhancing Quantum Annealing in Digital-Analog Quantum Computing
• Deep Unfolded Local Quantum Annealing
• Three Strongly Coupled Kerr Parametric Oscillators Forming a Boltzmann Machine
• Mapping constrained optimization problems to quantum annealing with application to fault diagnosis
• Choco-Q: Commute Hamiltonian-based QAOA for Constrained Binary Optimization
• Validating a Two Qubit Non-Stoquastic Hamiltonian in Quantum Annealing
• Solving tiling puzzles with quantum annealing
• Error-run-time trade-off in the adiabatic approximation beyond scaling relations
• Evaluating the Practicality of Quantum Optimization Algorithms for Prototypical Industrial Applications
• Emergent Quantumness in Neural Networks
• Systematic comparison of deep belief network training using quantum annealing vs. classical techniques
• Experimental Demonstration of Fermionic QAOA with One-Dimensional Cyclic Driver Hamiltonian
• Cost of Emulating a Small Quantum Annealing Problem in the Circuit-Model
• Quantum Algorithm for Optimization and Polynomial System Solving over Finite Field and Application to Cryptanalysis
• Quantum Annealing with chaotic driver Hamiltonians
• Quantum annealing in the NISQ era: railway conflict management
• Performance of Domain-Wall Encoding for Quantum Annealing
• Non-classical Role of Potential Energy in Adiabatic Quantum Annealing
• Limits of Short-Time Evolution of Local Hamiltonians
• Absence of small-world effects at the quantum level and stability of the quantum critical point
• Continuous black-box optimization with quantum annealing and random subspace coding
• A scalable 2-local architecture for quantum annealing of Ising models with arbitrary dimensions
• Quantum Hopfield Model with Dilute Memories
• Investigating the Performance of an Adiabatic Quantum Optimization Processor
• Defect production due to quenching through a multicritical point and along a gapless line
• Reduction of the energy-gap scaling by coherent catalysis in models of quantum annealing
• Minor Embedding for Quantum Annealing with Reinforcement Learning
• SWIFT-FMQA: Enhancing Factorization Machine with Quadratic-Optimization Annealing via Sliding Window
• Quantum Software Ecosystem Design
• Systematic and Efficient Construction of Quadratic Unconstrained Binary Optimization Forms for High-order and Dense Interactions
• Annealing Dynamics of Regular Rotor Networks: Universality and Its Breakdown
• The Lie Algebra of XY-mixer Topologies and Warm Starting QAOA for Constrained Optimization
• Derivation of QUBO formulations for sparse estimation
• Quantum-annealing-inspired algorithms for multijet clustering
• Universal Computation with Quantum Fields
• Biased Degenerate Ground-State Sampling of Small Ising Models with Converged QAOA
• Grover's search meets Ising models: a quantum algorithm for finding low-energy states
• Ground-state statistics from annealing algorithms: Quantum vs classical approaches
• Optimization of Connection Patterns between Mobile Phones and Base Stations using Quantum Annealing
• Solving Large Break Minimization Problems in a Mirrored Double Round-robin Tournament Using Quantum Annealing
• Optimal solutions to quantum annealing using two independent control functions
• Quantum Annealing for Semi-Supervised Learning
• Coarsening of Disordered Quantum Rotors under a Bias Voltage
• Microscopics of Quantum Annealing in the Disordered Dipolar Ising Ferromagnet LiHo${}_x$Y${}_{1-x}$F${}_4$
• Efficient correlation-based discretization of continuous variables for annealing machines
• Simultaneous Stoquasticity
• Reconstructing Bayesian Networks on a Quantum Annealer
• Development of research network on Quantum Annealing Computation and Information using Google Scholar data
• Quantum Field Induced Orderings in Fully Frustrated Ising Spin Systems
• Dynamical frustration in ANNNI model and annealing
• Iterative classical superadiabatic algorithm for combinatorial optimization
• Folding lattice proteins confined on minimal grids using a quantum-inspired encoding
• Superposition of Macroscopically Distinct States in Adiabatic Quantum Computation
• Threshold theorem in isolated quantum dynamics with stochastic control errors
• Parent Hamiltonian Reconstruction via Inverse Quantum Annealing
• Formulation of the Electric Vehicle Charging and Routing Problem for a Hybrid Quantum-Classical Search Space Reduction Heuristic
• Decoherence of a tunable capacitively shunted flux qubit
• Quantum Annealing and Computation: A Brief Documentary Note
• Design of Quantum Annealing Machine for Prime Factoring
• Non-Hermitian Adiabatic Quantum Optimization
• The Holy Grail of Quantum Artificial Intelligence: Major Challenges in Accelerating the Machine Learning Pipeline
• Quantum Adiabatic Feature Selection
• Optimization of neural networks via finite-value quantum fluctuations
• Semi-Inclusive Jet Functions and Jet Substructure in $J_{E_T}^{(I)}$ and $J_{E_T}^{(II)}$ Algorithms
• Excited-State Adiabatic Quantum Computation Started with Vacuum States
• Finding high-order Hadamard matrices by using quantum computers
• Optimization and benchmarking of the thermal cycling algorithm
• Classical Simulated Annealing Using Quantum Analogues
• Deja-Vu: A Glimpse on Radioactive Soft-Error Consequences on Classical and Quantum Computations
• The Perturbed Ferromagnetic Chain: A Tuneable Test of Quantum Hardness in the Transverse-Field Ising Model
• Duality approach to quantum annealing of the 3-XORSAT problem
• Ultrastrong capacitive coupling of flux qubits
• Leveraging Quantum Annealer to identify an Event-topology at High Energy Colliders
• Optimization of Robot Trajectory Planning with Nature-Inspired and Hybrid Quantum Algorithms
• Finite temperature quantum condensations in the space of states: General Proof
• Effect of Quantum Statistics on Computational Power of Atomic Quantum Annealers
• Topological adiabatic dynamics in classical mass-spring chains with clamps
• Defects in Quantum Computers
• First-Order Excited-State Quantum Phase Transition in the Transverse Ising Model with a Longitudinal Field
• Pattern Description of Quantum Phase Transitions in the Transverse Antiferromagnetic Ising Model with a Longitudinal Field
• Lower bounds on the number of rounds of the quantum approximate optimization algorithm required for guaranteed approximation ratios
• Adiabatic theorem for classical stochastic processes
• Improving the convergence of an iterative algorithm for solving arbitrary linear equation systems using classical or quantum binary optimization
• Robustness of optimized numerical estimation schemes for noisy variational quantum algorithms
• Hybrid classical-quantum branch-and-bound algorithm for solving integer linear problems
• Characterization of Locality in Spin States and Forced Moves for Optimizations
• Classification and transformations of quantum circuit decompositions for permutation operations
• A short review on the maximum clique problem algorithms with classical, AI, and quantum methods
• Compressed sensing enhanced by quantum approximate optimization algorithm
• Enhancing Multiple Object Tracking Accuracy via Quantum Annealing
• Relaxation of the EM Algorithm via Quantum Annealing
• Performance analysis of a filtering variational quantum algorithm
• Comparing Quantum Annealing and Spiking Neuromorphic Computing for Sampling Binary Sparse Coding QUBO Problems
• Quantum Annealing Effect on Entropic Slowing Down in Frustrated Decorated Bond System
• Harnessing Inferior Solutions For Superior Outcomes: Obtaining Robust Solutions From Quantum Algorithms
• Validity condition for high-fidelity Digitized Quantum Annealing
• Koopman analysis of combinatorial optimization problems with replica exchange Monte Carlo method
• Accelerating Quantum Eigensolver Algorithms With Machine Learning
• Exact Replica Symmetric solution for transverse field Hopfield model under finite Trotter size
• Increasing the Hardness of Posiform Planting Using Random QUBOs for Programmable Quantum Annealer Benchmarking
• Four-body coupler for superconducting qubits based on Josephson parametric oscillators
• Transfer Learning for Deep-Unfolded Combinatorial Optimization Solver with Quantum Annealer
• The anomalously slow dynamics of inhomogeneous quantum annealing
• Noise Effects on Diabatic Quantum Annealing Protocols
• Direct comparison of stochastic driven nonlinear dynamical systems for combinatorial optimization
• Hyperspectral image segmentation with a machine learning model trained using quantum annealer
• Hardware-efficient quantum annealing with error mitigation via classical shadow
• Quantum sequel of neural network training
• Quantum annealing in capacitively coupled Kerr parametric oscillators using frequency-chirped drives
• Neural-network-assisted Monte Carlo sampling trained by Quantum Approximate Optimization Algorithm
• Performance-centric roadmap for building a superconducting quantum computer
• Relation of classical non-equilibrium dynamics and quantum annealing
• A Quantum Approach for Optimal Transient Control in Network-Based Epidemic Models
• Subsampling Factorization Machine Annealing
• Signatures of quantum chaos and complexity in the Ising model on random graphs
• Optimal Quantum Likelihood Estimation
• Diabatic quantum annealing for training energy-based generative models
• High-Order Epistasis Detection Using Factorization Machine with Quadratic Optimization Annealing and MDR-Based Evaluation
• Proposal of a Checking Parameter in the Simulated Annealing Method Applied to the Spin Glass Model
• Convergence condition of simulated quantum annealing with a non-stoquastic catalyst
• Assessing the performance of quantum annealing with nonlinear driving
• ORQVIZ: Visualizing High-Dimensional Landscapes in Variational Quantum Algorithms
• Solving Inequality-Constrained Binary Optimization Problems on Quantum Annealer
• Analog Errors in Quantum Annealing: Doom and Hope
• Fairness evaluation during the conceptual design of heat grids with quantum annealers
• Accelerated Sampling of Boltzmann distributions
• Minimizing minor embedding energy: an application in quantum annealing
• The Human Group Optimizer (HGO): Mimicking the collective intelligence of human groups as an optimization tool for combinatorial problems
• Solving Set Cover with Pairs Problem Using Quantum Annealing
• Relaxation of the EM Algorithm via Quantum Annealing for Gaussian Mixture Models
• Numerical optimization using flow equations
• A journey into localization, integrability and thermalization
• Hard combinatorial problems and minor embeddings on lattice graphs
• Statistical Analysis of Quantum Annealing
• Exploring Quantum Annealing for Coarse-Grained Protein Folding
• Dynamical replica analysis of quantum annealing
• Role of overparametrization in quantum approximate optimization
• Context Mixing via Ground State Search
• Annealing Approach to Quantum Tomography
• Frustration-enhanced quantum annealing correction models with additional inter-replica interactions
• Digital controllability of transverse field Ising chains
• Curve fitting on a quantum annealer for an advanced navigation method
• Practical hybrid decoding scheme for parity-encoded spin systems
• Quasi-adiabatic thermal ensemble preparation in the thermodynamic limit
• Quantum speed-up for solving the one-dimensional Hubbard model using quantum annealing
• Boltzmann Sampling of Frustrated J1 - J2 Ising Models with Programmable Quantum Annealers
• Variational matrix product states for combinatorial optimization
• Proof of avoidability of the quantum first-order transition in transverse magnetization in quantum annealing of finite-dimensional spin glasses
• Statistics of Min-max Normalized Eigenvalues in Random Matrices
• Utilizing intermediate states in quantum annealing for multi-objective optimization
• Control limit for the quantum state preparation under stochastic control errors
• Experimental verification of the inertial theorem control protocols
• Thermodynamic significance of QUBO encoding on quantum annealers
• Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model
• Quantum annealing and condensed matter physics
• Quantum information and statistical mechanics: an introduction to frontier
• Extracting the trustworthiest way to service provider in complex online social networks
• A Quantum Genetic Algorithm with application to Cosmological Parameters Estimation
• Spin Model for Quantum Annealing with Kerr Parametric Oscillators
• Multi-tasking through quantum annealing
• Trajectory-independent speed limits for controlled open quantum systems
• Evaluating the solution performance of the augmented Lagrangian function on Ising machines
• Quantum Fibrations: quantum computation on an arbitrary topological space
• Efficient inference in the transverse field Ising model
• Generation of all-to-all connections in a two-dimensional qubit array with two-body interactions
• Folding lattice proteins with quantum annealing
• Degeneracy Engineering for Classical and Quantum Annealing: A Case Study of Sparse Linear Regression in Collider Physics
• Finite temperature quantum condensations in the space of states: a new perspective for quantum annealing
• Thermodynamics of a Quantum Ising system coupled to a spin bath: Zero Temperature Results
• A Quantum Annealing Approach to Reduce Covid-19 Spread on College Campuses
• Quantum-inspired search method for low-energy states of classical Ising Hamiltonians
• QUBO-inspired Molecular Fingerprint for Chemical Property Prediction
• Effects of Graph Network Connections on The Efficiency of Quantum Annealing
• Hardness of efficiently generating ground states in postselected quantum computation
• Exploring Airline Gate-Scheduling Optimization Using Quantum Computers
• Upper bound inequality for calculation time in simulated annealing analogous to adiabatic theorem in quantum systems
• Application of graph theory in quantum computer science
• Quantum Computation
• Time-inhomogeneous Quantum Markov Chains with Decoherence on Finite State Spaces
• Evolutionary Approaches to Optimization Problems in Chimera Topologies
• Assessment of image generation by quantum annealer
• Notes on Adiabatic Quantum Computers
• Discrete Equilibrium Sampling with Arbitrary Nonequilibrium Processes
• Renormalization method for proving frustration-free local spin chains are gapped
• Minor-embedding heuristics for large-scale annealing processors with sparse hardware graphs of up to 102,400 nodes
• Diffuse optical tomography by simulated annealing via a spin Hamiltonian
• Families of $d=2$ 2D subsystem stabilizer codes for universal Hamiltonian quantum computation with two-body interactions
• Computational Complexity of Quadratic Unconstrained Binary Optimization
• Efficient Construction of Feasible Solutions in Column Generation using Quantum Annealing
• A hybrid inversion scheme combining Markov chain Monte Carlo and iterative methods for determining optical properties of random media
• A quantum search method for quadratic and multidimensional knapsack problems
• A Quantum Constraint Generation Framework for Binary Linear Programs
• Robust phase estimation of the ground-state energy without controlled time evolution on a quantum device
• Grover Adaptive Search with Spin Variables
• TIGER: Topology-aware Assignment using Ising machines Application to Classical Algorithm Tasks and Quantum Circuit Gates
• Steady state distributions of network of degenerate optical parametric oscillators in solving combinatorial optimization problems
• Efficient Digital Quadratic Unconstrained Binary Optimization Solvers for SAT Problems
• Hidden local adiabatic ramp in the modulated time evolution and the quantum approximate optimization algorithm
• Mechanism of defect formation in the quantum annealing of the random transverse-field Ising chain
• Optimization of conveyance of quantum particles by moving potential well
• Unveiling hidden features of the Kitaev model through a complex-network analysis
• Lack of a thermodynamic finite-temperature spin-glass phase in the two-dimensional randomly-coupled ferromagnet
• Preparation of Many-body Ground States by Time Evolution with Variational Microscopic Magnetic Fields and Incomplete Interactions
• 2022 Roadmap on Neuromorphic Computing and Engineering
• Assessing the quantumness of the annealing dynamics via Leggett Gargs inequalities: a weak measurement approach
• Accelerated spin-adapted ground state preparation with non-variational quantum algorithms
• Testing Quantum and Simulated Annealers on the Drone Delivery Packing Problem
• A useful fundamental speed limit for the imaginary-time Schrodinger equation
• Finding Hadamard matrices by a quantum annealing machine
• Formulation and evaluation of ocean dynamics problems as optimization problems for quantum annealing machines
• Quantitative analysis of the effectiveness of mid-anneal measurement in quantum annealing
• Expansion for quantum perturbations in random spin systems
• Statistical mechanical models of integer factorization problem
• Magnetic Hysteresis Experiments Performed on Quantum Annealers