Adiabatic Quantum Computing

Abstract

Adiabatic quantum computing (AQC) started as an approach to solving optimization problems, and has evolved into an important universal alternative to the standard circuit model of quantum computing, with deep connections to both classical and quantum complexity theory and condensed matter physics. In this review we give an account of most of the major theoretical developments in the field, while focusing on the closed-system setting. The review is organized around a series of topics that are essential to an understanding of the underlying principles of AQC, its algorithmic accomplishments and limitations, and its scope in the more general setting of computational complexity theory. We present several variants of the adiabatic theorem, the cornerstone of AQC, and we give examples of explicit AQC algorithms that exhibit a quantum speedup. We give an overview of several proofs of the universality of AQC and related Hamiltonian quantum complexity theory. We finally devote considerable space to Stoquastic AQC, the setting of most AQC work to date, where we discuss obstructions to success and their possible resolutions.

67 pages, 10 figures. To be submitted to Reviews of Modern Physics. Comments welcome. v2: updated to published version

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• Speeding up quantum adiabatic processes with dynamical quantum geometric tensor
• Unraveling the origin of higher success probabilities in quantum versus semi-classical annealing
• Benchmarking Quantum Optimization for the Maximum-Cut Problem on a Superconducting Quantum Computer
• Locally Suppressed Transverse-Field Protocol for Diabatic Quantum Annealing
• Equilibrium dynamics of infinite-range quantum spin glasses in a field
• An Advantage Using Feature Selection with a Quantum Annealer
• Quantum Machine Learning and its Supremacy in High Energy Physics
• Quantum technologies for climate change: Preliminary assessment
• Genuine Multipartite Entanglement in Quantum Optimization
• Counterdiabatic Driving with Performance Guarantees
• Universal Counterdiabatic Driving
• Quantum algorithms for cooling: a simple case study
• Counterdiabatic Route to Entanglement Steering and Dynamical Freezing in the Floquet Lipkin-Meshkov-Glick Model
• Tutorial: From Topology to Hall Effects -- Implications of Berry Phase Physics
• Practicality of quantum adiabatic algorithm for chemistry applications
• Time-dependent Hamiltonian Simulation via Magnus Expansion: Algorithm and Superconvergence
• Quantum Chaos in Random Ising Networks
• Unleashed from Constrained Optimization: Quantum Computing for Quantum Chemistry Employing Generator Coordinate Inspired Method
• Adiabatic quantum trajectories in engineered reservoirs
• Approaching Collateral Optimization for NISQ and Quantum-Inspired Computing
• Bounding first-order quantum phase transitions in adiabatic quantum computing
• Rapid quantum approaches for combinatorial optimisation inspired by optimal state-transfer
• Why adiabatic quantum annealing is unlikely to yield speed-up
• Prog-QAOA: Framework for resource-efficient quantum optimization through classical programs
• Demonstration of long-range correlations via susceptibility measurements in a one-dimensional superconducting Josephson spin chain
• Near Term Algorithms for Linear Systems of Equations
• The quantum annealing gap and quench dynamics in the exact cover problem
• Improving Schrödinger Equation Implementations with Gray Code for Adiabatic Quantum Computers
• Robust Preparation of Many-body Ground States in Jaynes-Cummings Lattices
• Quantum walk on a graph of spins: magnetism and entanglement
• Localization in the constrained quantum annealing of graph coloring
• Pulsed quantum annealing
• Modernizing Quantum Annealing II: Genetic algorithms with the Inference Primitive Formalism
• Systematic study on the dependence of the warm-start quantum approximate optimization algorithm on approximate solutions
• Fully-programmable universal quantum simulator with a one-dimensional quantum processor
• Dissipative Landau-Zener tunneling in the crossover regime from weak to strong environment coupling
• Navigating the noise-depth tradeoff in adiabatic quantum circuits
• Adiabatic time evolution of highly excited states
• A necessary condition for quantum adiabaticity applied to the adiabatic Grover search
• Characterizing Adiabaticity in Quantum Many-Body Systems at Finite Temperature
• Grover Speedup from Many Forms of the Zeno Effect
• Classical Quantum Optimization with Neural Network Quantum States
• Quantum Adiabatic Doping with Incommensurate Optical Lattices
• How do higher-order interactions shape the energy landscape?
• Quantum computing for genomics: conceptual challenges and practical perspectives
• Robust Diabatic Quantum Search by Landau-Zener-Stückelberg Oscillations
• Dynamic Asset Allocation with Expected Shortfall via Quantum Annealing
• Quantum optimization with linear Ising penalty functions for customer data science
• Anti-crossings and spectral gap during quantum adiabatic evolution
• From quantum-enhanced to quantum-inspired Monte Carlo
• Bounds on quantum adiabaticity in driven many-body systems from generalized orthogonality catastrophe and quantum speed limit
• Optimization on Large Interconnected Graphs and Networks Using Adiabatic Quantum Computation
• Toward nuclear physics from lattice QCD on quantum computers
• Self-Supervised Learning of Generative Spin-Glasses with Normalizing Flows
• A Quantum Annealing Protocol to Solve the Nuclear Shell Model
• Proof of efficient, parallelized, universal adiabatic quantum computation
• Unraveling Reverse Annealing: A Study of D-Wave Quantum Annealers
• Quantum circuit compilation with quantum computers
• A numerical approach for calculating exact non-adiabatic terms in quantum dynamics
• Eigenvalue-invariant transformation of Ising problem for anti-crossing mitigation in quantum annealing
• QFitter -- A Quantum Fitting Framework Applied to Effective Field Theories
• Polynomial Time Quantum Gibbs Sampling for Fermi-Hubbard Model at any Temperature
• Incentivising Demand Side Response through Discount Scheduling using Hybrid Quantum Optimization
• Quantum Algorithm for Smoothed Particle Hydrodynamics
• Rigorous convergence condition for quantum annealing
• First-quantized adiabatic time evolution for the ground state of a many-electron system and the optimal nuclear configuration
• Hard instance learning for quantum adiabatic prime factorization
• A Gallery of Soft Modes: Theory and Experiment at a Ferromagnetic Quantum Phase Transition
• Speeding up Quantum Annealing with Engineered Dephasing
• Controlling qubit-oscillator systems using linear parameter sweeps
• Quantum computing quantum Monte Carlo algorithm
• Implementing transferable annealing protocols for combinatorial optimisation on neutral atom quantum processors: a case study on smart-charging of electric vehicles
• Quantum annealing sampling with a bias field
• Bifurcation-based quantum annealing with nested spins
• Bounds for nonadiabatic transitions
• Topologically protected Grover's oracle for the partition problem
• State Preparation in a Jaynes-Cummings Lattice with Quantum Optimal Control
• Annealing for prediction of grand canonical crystal structures: Efficient implementation of n-body atomic interactions
• Quantum techniques for eigenvalue problems
• Alleviating the quantum Big-$M$ problem
• Analysis of the shortest vector problems with the quantum annealing to search the excited states
• Exploring the topological sector optimization on quantum computers
• Addressable quantum gates
• Lagrangian Duality in Quantum Optimization: Overcoming QUBO Limitations for Constrained Problems
• Connection between single-layer Quantum Approximate Optimization Algorithm interferometry and thermal distributions sampling
• The Hadamard gate cannot be replaced by a resource state in universal quantum computation
• Optimization of ionic configurations in battery materials by quantum annealing
• Exponential quantum advantages for practical non-Hermitian eigenproblems
• BBQ-mIS: a parallel quantum algorithm for graph coloring problems
• Load Balancing For High Performance Computing Using Quantum Annealing
• Validation of Quantum Adiabaticity through Non-Inertial Frames and Its Trapped-Ion Realization
• Exact Quantum Algorithms for Quantum Phase Recognition: Renormalization Group and Error Correction
• Exploring Ground States of Fermi-Hubbard Model on Honeycomb Lattices with Counterdiabaticity
• Mode structure reconstruction by detected and undetected light
• How to experimentally evaluate the adiabatic condition for quantum annealing
• Convergence condition of simulated quantum annealing for closed and open systems
• Simulating quantum circuits by adiabatic computation: improved spectral gap bounds
• Computational Characteristics of Random Field Ising Model with Long-Range Interaction
• Ground state-based quantum feature maps
• Quantum Annealing based Power Grid Partitioning for Parallel Simulation
• Quantum Annealers Chain Strengths: A Simple Heuristic to Set Them All
• Analyzing the Effectiveness of Quantum Annealing with Meta-Learning
• Zeno-effect Computation: Opportunities and Challenges
• Robust transitionless quantum driving: Concatenated approach
• Demonstration of Hardware Efficient Photonic Variational Quantum Algorithm
• Geodesic path for the optimal nonequilibrium transition: Momentum-independent protocol
• Quantum geometry in many-body systems with precursors of criticality
• Performance of quantum annealing for 2-SAT problems with multiple satisfying assignments
• Search for optimal driving in finite quantum systems with precursors of criticality
• Inhomogeneous adiabatic preparation of a quantum critical ground state in two dimensions
• Quantum mean value approximator for hard integer value problems
• Understanding the physics of D-Wave annealers: From Schrödinger to Lindblad to Markovian Dynamics
• A Decomposition Method for the Hybrid Quantum-Classical Solution of the Number Partitioning Problem
• Quantum Integer Programming (QuIP) 47-779: Lecture Notes
• Quantum annealing of Cayley-tree Ising spins at small scales
• Coherent population transfer via state-independent quasi-adiabatic dynamics
• Efficient Quantum Cooling Algorithm for Fermionic Systems
• Optimally Stopped Variational Quantum Algorithms
• Spectral gaps of two- and three-dimensional many-body quantum systems in the thermodynamic limit
• Reducing Quantum Error Correction Overhead with Versatile Flag-Sharing Syndrome Extraction Circuits
• Quantum adiabatic optimization without heuristics
• Quantum adiabatic theorem for unbounded Hamiltonians with a cutoff and its application to superconducting circuits
• Nonstoquastic catalyst for bifurcation-based quantum annealing of ferromagnetic $p$-spin model
• QCEDA: Using Quantum Computers for EDA
• Lower bounds for adiabatic quantum algorithms by quantum speed limits
• Reducing defect production in random transverse-field Ising chains by inhomogeneous driving fields
• Reducing Circuit Depth in Quantum State Preparation for Quantum Simulation Using Measurements and Feedforward
• Continuous-time quantum optimisation without the adiabatic principle
• Engineering tunable decoherence-free subspaces with collective atom-cavity interactions
• Entanglement generation via single-qubit rotations in a torn Hilbert space
• Topological Aspects of Matters and Langlands Program
• Measurement-induced phase transitions for free fermions in a quasiperiodic potential
• Investigating the potential for a limited quantum speedup on protein lattice problems
• Quantum algorithms for calculating determinant and inverse of matrix and solving linear algebraic systems
• Exponential speedup of incoherent tunneling via dissipation
• Adiabatic Quantum Computing for Binary Clustering
• Efficient preparation of the AKLT State with Measurement-based Imaginary Time Evolution
• Quantum computing hardware in the cloud: Should a computational chemist care?
• Gauged cooling of topological excitations and emergent fermions on quantum simulators
• Error-run-time trade-off in the adiabatic approximation beyond scaling relations
• Evaluating the Practicality of Quantum Optimization Algorithms for Prototypical Industrial Applications
• Unifying framework for quantum simulation algorithms for time-dependent Hamiltonian dynamics
• Comparative study on compact quantum circuits of hybrid quantum-classical algorithms for quantum impurity models
• Robust universal Hamiltonian quantum computing using two-body interactions
• Entanglement-assisted variational algorithm for discrete optimization problems
• Quantum ergodicity and scrambling in quantum annealers
• Adiabatic echo protocols for robust quantum many-body state preparation
• Quantum Shortcut to Adiabaticity for State Preparation in a Finite-Sized Jaynes-Cummings Lattice
• Exact bounds on the energy gap of transverse-field Ising chains by mapping to random walks
• Approximating maximum independent set on Rydberg atom arrays using local detunings
• Neural optimization for quantum architectures: graph embedding problems with Distance Encoder Networks
• Cost of Emulating a Small Quantum Annealing Problem in the Circuit-Model
• Combinatorial optimization through variational quantum power method
• Universal Resources for QAOA and Quantum Annealing
• Separation of the Kibble-Zurek Mechanism from Quantum Criticality
• Deep Unfolded Local Quantum Annealing
• Quantum annealing in the NISQ era: railway conflict management
• Decoherence-assisted quantum driving
• Diabatic quantum and classical annealing of the Sherrington-Kirkpatrick model
• Quantum annealing showing an exponentially small success probability despite a constant energy gap with polynomial energy
• Quantum Annealing with chaotic driver Hamiltonians
• Equilibrium Propagation: the Quantum and the Thermal Cases
• Survey on Computational Applications of Tensor Network Simulations
• Improving the efficiency of quantum annealing with controlled diagonal catalysts
• Flux Qubit Readout in the Persistent Current Basis at arbitrary Bias Points
• Correcting noisy quantum gates with shortcuts to adiabaticity
• A thermodynamic approach to optimization in complex quantum systems
• Quantum walk in a reinforced free-energy landscape: Quantum annealing with reinforcement
• Quantum Annealing for Prime Factorization
• Interacting Dirac fields in an expanding universe: dynamical condensates and particle production
• Multi-disk clutch optimization using quantum annealing
• Quantum speed limits for adiabatic evolution, Loschmidt echo and beyond
• Boosting quantum annealing performance through direct polynomial unconstrained binary optimization
• Analysis of the Hopfield Model with Discrete Coupling
• Performance of Domain-Wall Encoding for Quantum Annealing
• Locating quantum critical points with shallow quantum circuits
• Self-Similarity Among Energy Eigenstates
• Digital Quantum Simulation of Scalar Yukawa Coupling
• A Remote Quantum Error-correcting Code Preparation Protocol on Cluster State
• Parent Hamiltonian Reconstruction via Inverse Quantum Annealing
• Determining probability density functions with adiabatic quantum computing
• Adiabatic manipulation of a system interacting with a spin-bath
• Decoherence of a tunable capacitively shunted flux qubit
• Optimal solutions to quantum annealing using two independent control functions
• High fidelity macroscopic superposition states via shortcut to adiabaticity
• Work Statistics and Adiabatic Assumption in Nonequilibrium Many-Body Theory
• Efficient criteria of quantumness for a large system of qubits
• Performance of entanglement purification including maximally entangled mixed states
• Quantum Liang Information Flow Probe of Causality across Critical Points
• A scalable 2-local architecture for quantum annealing of Ising models with arbitrary dimensions
• Limits of Short-Time Evolution of Local Hamiltonians
• Investigating the Exchange of Ising Chains on a Digital Quantum Computer
• Quantum Hopfield Model with Dilute Memories
• Superposition of Macroscopically Distinct States in Adiabatic Quantum Computation
• Quantum control without quantum states
• Quantum Software Ecosystem Design
• Tensor Decompositions and Adiabatic Quantum Computing for Discovering Practical Matrix Multiplication Algorithms
• Annealing Dynamics of Regular Rotor Networks: Universality and Its Breakdown
• Atom Cavity Encoding for NP-Complete Problems
• Parallel Ising Annealer via Gradient-based Hamiltonian Monte Carlo
• StoqMA vs. MA: the power of error reduction
• Hardness-dependent quantum adiabatic schedules for the maximum-independent-set problem
• Quantum Computational Insurance and Actuarial Science
• Fighting Exponentially Small Gaps by Counterdiabatic Driving
• Tighter Lower Bounds on Quantum Annealing Times
• Transforming optimization problems into a QUBO form: A tutorial
• Unstructured Adiabatic Quantum Optimization: Optimality with Limitations
• A measure for adiabatic contributions to quantum transitions
• Quantum implicit representation of vortex filaments in turbulence
• Quantum Adiabatic Theorem Revisited
• Learning-Driven Annealing with Adaptive Hamiltonian Modification for Solving Large-Scale Problems on Quantum Devices
• Topological order in symmetric blockade structures
• Reduction of the energy-gap scaling by coherent catalysis in models of quantum annealing
• Asymptotic Exceptional Steady States in Dissipative Dynamics
• Absence of small-world effects at the quantum level and stability of the quantum critical point
• IF-QAOA: A Penalty-Free Approach to Accelerating Constrained Quantum Optimization
• Simon's Period Finding on a Quantum Annealer
• Path Matters: Industrial Data Meet Quantum Optimization
• Universal Computation with Quantum Fields
• The Lie Algebra of XY-mixer Topologies and Warm Starting QAOA for Constrained Optimization
• Robust quantification of spectral transitions in perturbed quantum systems
• Accelerating quantum adiabatic evolution with $\pi$-pulse sequences
• Approximate combinatorial optimization with Rydberg atoms: the barrier of interpretability
• Reliability of digitized quantum annealing and the decay of entanglement
• Topological Defects from Quantum Reset Dynamics
• Investigation of the spin dynamics of quantum spin dimers with Dzyaloshinsky-Moriya interaction
• Universality in nonlinear passage through the miscible-immiscible phase transition in two component Bose-Einstein condensates
• Analytic approach to the Landau-Zener problem in bounded parameter space
• Geometric and computational aspects of chiral topological quantum matter
• Quantum microwave photonics
• A universal graph description for one-dimensional exchange models
• Adiabatic quantum computing with parameterized quantum circuits
• Development of research network on Quantum Annealing Computation and Information using Google Scholar data
• Three-qubit encoding in ytterbium-171 atoms for simulating 1+1D QCD
• Compressed sensing enhanced by quantum approximate optimization algorithm
• A short review on the maximum clique problem algorithms with classical, AI, and quantum methods
• Subsampling Factorization Machine Annealing
• Signatures of quantum chaos and complexity in the Ising model on random graphs
• Simple and efficient end-to-end quantum thermal and ground state preparation
• Robust preparation of ground state phases under noisy imaginary time evolution
• Quantum Global Minimum Finder based on Variational Quantum Search
• Benchmarking Embedded Chain Breaking in Quantum Annealing
• Quantum Annealing Algorithms for Estimating Ising Partition Functions
• Ensemble Inequivalence in Long-Range Quantum Spin Systems
• Energy-saving fast-forward scaling
• Duality approach to quantum annealing of the 3-XORSAT problem
• Localizing Individual Exciton on a Quantum Hall Antidot
• Enhancing Scalability of Quantum Eigenvalue Transformation of Unitary Matrices for Ground State Preparation through Adaptive Finer Filtering
• Cat-state-like non-Gaussian entanglement in magnon systems
• Quantum annealing in capacitively coupled Kerr parametric oscillators using frequency-chirped drives
• Efficient Berry Phase Calculation via Adaptive Variational Quantum Computing Approach
• Ultrastrong capacitive coupling of flux qubits
• In-plane dominant anisotropy stochastic magnetic tunnel junction for probabilistic computing: A Fokker-Planck study
• Dynamics for the Haldane phase in the Bilinear-Biquadratic Model
• Hybrid classical-quantum branch-and-bound algorithm for solving integer linear problems
• Analytical shortcuts to adiabaticity of weakly driven processes
• Graph Coloring via Quantum Optimization on a Rydberg-Qudit Atom Array
• Convergence condition of simulated quantum annealing with a non-stoquastic catalyst
• State preparation and evolution in quantum computing: a perspective from Hamiltonian moments
• Adiabatic theorem for classical stochastic processes
• Solving Inequality-Constrained Binary Optimization Problems on Quantum Annealer
• Effect of Quantum Statistics on Computational Power of Atomic Quantum Annealers
• Assessing the performance of quantum annealing with nonlinear driving
• Transitionless Quantum Driving of the Tomonaga-Luttinger Liquid
• Spatiotemporal Quenches in Long-Range Hamiltonians
• Deterministic photonic entanglement arising from non-Abelian quantum holonomy
• Design and benchmarks for emulating Kondo dynamics on a quantum chip
• Performance-centric roadmap for building a superconducting quantum computer
• Excited-State Adiabatic Quantum Computation Started with Vacuum States
• Phase Estimation with Compressed Controlled Time Evolution
• Increasing the Hardness of Posiform Planting Using Random QUBOs for Programmable Quantum Annealer Benchmarking
• Quantum Adiabatic Doping for Atomic Fermi-Hubbard Quantum Simulations
• It's Quick to be Square: Fast Quadratisation for Quantum Toolchains
• Anti-crossings occurrence as exponentially closing gaps in Quantum Annealing
• Adiabatic state preparation from general initial states
• The anomalously slow dynamics of inhomogeneous quantum annealing
• QTIS: A QAOA-Based Quantum Time Interval Scheduler
• Simulating charging characteristics of lithium iron phosphate by electro-ionic optimization on a quantum annealer
• Correspondence between excited energy eigenstates and local minima of energy landscape in quantum spin systems
• Efficient quantum algorithm for solving structured problems via multi-step quantum computation
• Digitized counterdiabatic quantum critical dynamics
• Noise Effects on Diabatic Quantum Annealing Protocols
• Dissipative ground state preparation in ab initio electronic structure theory
• Quantum circuit for ${\mathbb{Z}}_3$ lattice gauge theory at nonzero baryon density
• Predict and Conquer: Navigating Algorithm Trade-offs with Quantum Design Automation
• Tracking Adiabaticity in Non-Equilibrium Many-Body Systems: The Hard Case of the X-ray Photoemission in Metals
• Enhancing Multiple Object Tracking Accuracy via Quantum Annealing
• Berry connection and quantum geometry in time-dependent systems with instantaneous quantum integrable field theory
• Extension of the Adiabatic Theorem
• Effects of Graph Network Connections on The Efficiency of Quantum Annealing
• Proof of avoidability of the quantum first-order transition in transverse magnetization in quantum annealing of finite-dimensional spin glasses
• An almost deterministic cooling by measurements
• Families of $d=2$ 2D subsystem stabilizer codes for universal Hamiltonian quantum computation with two-body interactions
• Robust phase estimation of the ground-state energy without controlled time evolution on a quantum device
• Non-Markovian Noise in Symmetry-Preserving Quantum Dynamics
• Programming tools for Analogue Quantum Computing in the High-Performance Computing Context -- A Review
• Sequences of selective rotation operators to engineer interactions for quantum annealing on three qutrits
• A strong-driving toolkit for topological Floquet energy pumps with superconducting circuits
• Finite-rate quench in disordered Chern and $Z_2$ topological insulators
• Superradiant Quantum Phase Transition in Open Systems: System-Bath Interaction at the Critical Point
• Quantum state driving: measurements versus pulses
• Multiple Query Optimization using a Hybrid Approach of Classical and Quantum Computing
• Classical Simulation of High Temperature Quantum Ising Models
• Assessing the quantumness of the annealing dynamics via Leggett Gargs inequalities: a weak measurement approach
• Quantum combinatorial optimization beyond the variational paradigm: simple schedules for hard problems
• Limitations in Parallel Ising Machine Networks: Theory and Practice
• Adiabatic Dynamics and Shortcuts to Adiabaticity: Fundamentals and Applications
• Efficiently preparing chiral states via fermionic cooling on bosonic quantum hardware
• Quantum-inspired search method for low-energy states of classical Ising Hamiltonians
• CDJ-Pontryagin Optimal Control for General Continuously Monitored Quantum Systems
• Hamiltonian Transformability, Fast Adiabatic Dynamics and Hidden Adiabaticity
• Geometric speed limit of state preparation and curved control spaces
• Three-Josephson Junctions Flux Qubit Couplings
• Quantum coherence and counterdiabatic quantum computing
• Mechanism of defect formation in the quantum annealing of the random transverse-field Ising chain
• From Hope to Heuristic: Realistic Runtime Estimates for Quantum Optimisation in NHEP
• Renormalization method for proving frustration-free local spin chains are gapped
• Quantum Simulation via Stochastic Combination of Unitaries
• Accelerated spin-adapted ground state preparation with non-variational quantum algorithms
• Adiabatic Dynamics of Entanglement
• Noncontextual Pauli Hamiltonians
• Statistical Analysis of Quantum Annealing
• Towards algorithm-free physical equilibrium model of computing
• Surrogate Modeling via Factorization Machine and Ising Model with Enhanced Higher-Order Interaction Learning
• Hamiltonian Expressibility for Ansatz Selection in Variational Quantum Algorithms
• Testing Quantum and Simulated Annealers on the Drone Delivery Packing Problem
• Efficient QAOA Architecture for Solving Multi-Constrained Optimization Problems
• Decoded Quantum Interferometry Under Noise
• A penalty-free quantum algorithm to find energy eigenstates
• Frustration-enhanced quantum annealing correction models with additional inter-replica interactions
• Experimental verification of the inertial theorem control protocols
• Digital controllability of transverse field Ising chains
• Practical hybrid decoding scheme for parity-encoded spin systems
• Analog Quantum Approximate Optimization Algorithm
• Leveraging Analog Neutral Atom Quantum Computers for Diversified Pricing in Hybrid Column Generation Frameworks
• Exploring the Fidelity of Flux Qubit Measurement in Different Bases via the Quantum Flux Parametron
• Hierarchical Fusion Method for Scalable Quantum Eigenstate Preparation
• Frustration-Free Control and Absorbing-State Transport in Entangled State Preparation
• Essentiality of the Non-stoquastic Hamiltonians and Driver Graph Design in Quantum Optimization Annealing
• Molecular resonance identification in complex absorbing potentials via integrated quantum computing and high-throughput computing
• Hybrid Real-Imaginary Time Evolution for Low-Depth Hamiltonian Simulation in Quantum Optimization
• Resource-Efficient Quantum Optimization via Higher-Order Encoding
• Variational matrix product states for combinatorial optimization
• Nonadiabatic Self-Healing of Trotter Errors in Digitized Counterdiabatic Dynamics
• Quantum State Preparation with Resolution Refinement
• Diffusion in quantum state preparation: From passive cooling to system-bath engineering
• Quantum adiabaticity in many-body systems and almost-orthogonality in complementary subspace
• A Quantum Genetic Algorithm with application to Cosmological Parameters Estimation
• Energy gap of quantum spin glasses: a projection quantum Monte Carlo study
• Spin Model for Quantum Annealing with Kerr Parametric Oscillators
• Multi-tasking through quantum annealing
• Trajectory-independent speed limits for controlled open quantum systems
• Quantum-inspired Ising machine using sparsified spin connectivity
• Dissipation-Induced Deviations from Kibble-Zurek Scaling in Non-Hermitian Quantum Annealing
• Curve fitting on a quantum annealer for an advanced navigation method
• The Rise of Quantum Computing -- Take a BITE for Built Environment and Urban Microclimate Research
• Steady state distributions of network of degenerate optical parametric oscillators in solving combinatorial optimization problems
• Entanglement Trajectory and its Boundary
• Improving adiabatic quantum factorization via chopped random-basis optimization
• Optimal two-qubit gates in recurrence protocols of entanglement purification
• Expanding the reach of quantum optimization with fermionic embeddings
• Hamiltonian Engineering in Quantum Spin Networks