Noisy intermediate-scale quantum (NISQ) algorithms

Abstract

A universal fault-tolerant quantum computer that can solve efficiently problems such as integer factorization and unstructured database search requires millions of qubits with low error rates and long coherence times. While the experimental advancement towards realizing such devices will potentially take decades of research, noisy intermediate-scale quantum (NISQ) computers already exist. These computers are composed of hundreds of noisy qubits, i.e. qubits that are not error-corrected, and therefore perform imperfect operations in a limited coherence time. In the search for quantum advantage with these devices, algorithms have been proposed for applications in various disciplines spanning physics, machine learning, quantum chemistry and combinatorial optimization. The goal of such algorithms is to leverage the limited available resources to perform classically challenging tasks. In this review, we provide a thorough summary of NISQ computational paradigms and algorithms. We discuss the key structure of these algorithms, their limitations, and advantages. We additionally provide a comprehensive overview of various benchmarking and software tools useful for programming and testing NISQ devices.

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• Distributed Quantum Computing for Chemical Applications
• Enhanced feature encoding and classification on distributed quantum hardware
• Efficient variational quantum circuit structure for correlated topological phases
• Variational generation of spin squeezing on one-dimensional quantum devices with nearest-neighbor interactions
• Parameterized Two-Qubit Gates for Enhanced Variational Quantum Eigensolver
• An RNN-policy gradient approach for quantum architecture search
• Variational quantum computing for quantum simulation: principles, implementations, and challenges
• Quantum continual learning on a programmable superconducting processor
• Hybrid quantum-classical unsupervised data clustering based on the self-organizing feature map
• Beyond Quantum Annealing: Optimal control solutions to MaxCut problems
• Experimental validation of the Kibble-Zurek Mechanism on a Digital Quantum Computer
• Temporal Entanglement Barriers in Dual-Unitary Clifford Circuits with Measurements
• Expressive Quantum Supervised Machine Learning using Kerr-nonlinear Parametric Oscillators
• A new quantum machine learning algorithm: split hidden quantum Markov model inspired by quantum conditional master equation
• Error estimation in current noisy quantum computers
• The Coming Decades of Quantum Simulation
• Solving Fractional Differential Equations on a Quantum Computer: A Variational Approach
• Virtual quantum error detection
• Control of quantum noise: on the role of dilations
• Universal imaginary-time critical dynamics on a quantum computer
• Quantum Generative Adversarial Networks in a Silicon Photonic Chip with Maximum Expressibility
• Critical steady states of all-to-all squeezed and driven superradiance: An analytic approach
• Self-Adaptive Quantum Kernel Principal Components Analysis for Compact Readout of Chemiresistive Sensor Arrays
• Quantum Algorithms for Geologic Fracture Networks
• Efficient Strategies for Reducing Sampling Error in Quantum Krylov Subspace Diagonalization
• Efficient witnessing and testing of magic in mixed quantum states
• Analyzing the quantum approximate optimization algorithm: ansätze, symmetries, and Lie algebras
• Efficient DCQO Algorithm within the Impulse Regime for Portfolio Optimization
• Quantum error cancellation in photonic systems -- undoing photon losses
• Efficient simulation of parametrized quantum circuits under non-unital noise through Pauli backpropagation
• Generating Universal Adversarial Perturbations for Quantum Classifiers
• Efficient solution of the non-unitary time-dependent Schrodinger equation on a quantum computer with complex absorbing potential
• Hamiltonian learning for 300 trapped ion qubits with long-range couplings
• Parametrized quantum circuit for weight-adjustable quantum loop gas
• Parameter-Parallel Distributed Variational Quantum Algorithm
• Hardware-efficient entangled measurements for variational quantum algorithms
• Negativity vs. Purity and Entropy in Witnessing Entanglement
• Platonic dynamical decoupling sequences for interacting spin systems
• Gradients and frequency profiles of quantum re-uploading models
• Double-bracket quantum algorithms for quantum imaginary-time evolution
• Information flow in parameterized quantum circuits
• Using Quantum Switches to Mitigate Noise in Grover's Search Algorithm
• Reduce&chop: Shallow circuits for deeper problems
• Entanglement engineering of optomechanical systems by reinforcement learning
• Demonstration of Algorithmic Quantum Speedup for an Abelian Hidden Subgroup Problem
• A Quantum Algorithmic Approach to Multiconfigurational Valence Bond Theory: Insights from Interpretable Circuit Design
• A Hybrid Qubit Encoding: Splitting Fock Space into Fermionic and Bosonic Subspaces
• State preparation of lattice field theories using quantum optimal control
• Fermionic Adaptive Sampling Theory for Variational Quantum Eigensolvers
• Unleashed from Constrained Optimization: Quantum Computing for Quantum Chemistry Employing Generator Coordinate Inspired Method
• Quantum-Assisted Joint Virtual Network Function Deployment and Maximum Flow Routing for Space Information Networks
• Convergence and Quantum Advantage of Trotterized MERA for Strongly-Correlated Systems
• Calculating the energy profile of an enzymatic reaction on a quantum computer
• Efficient Learning for Linear Properties of Bounded-Gate Quantum Circuits
• Quantum computer error structure probed by quantum error correction syndrome measurements
• Error-Mitigated Quantum Simulation of Interacting Fermions with Trapped Ions
• Superconducting Quantum Simulation for Many-Body Physics beyond Equilibrium
• Quantum neural compressive sensing for ghost imaging
• Assisted quantum simulation of open quantum systems
• Quantum Dynamic Programming
• Characterization, synthesis, and optimization of quantum circuits over multiple-control $\text{Z}$-rotation gates: A systematic study
• Compilation of Entangling Gates for High-Dimensional Quantum Systems
• Quantum search in many-body interacting system with long-range interaction
• Random Natural Gradient
• MLQAOA: Graph Learning Accelerated Hybrid Quantum-Classical Multilevel QAOA
• Non-adaptive measurement-based quantum computation on IBM Q
• Quantum smoothed particle hydrodynamics algorithm inspired by quantum walks
• Lattice Hamiltonians and Stray Interactions Within Quantum Processors
• A model of interacting quantum neurons with a dynamic synapse
• Framework for Learning and Control in the Classical and Quantum Domains
• Fully-programmable universal quantum simulator with a one-dimensional quantum processor
• Quantum Dynamics Simulation of the Advection-Diffusion Equation
• Sparse Probabilistic Synthesis of Quantum Operations
• Systematic study on the dependence of the warm-start quantum approximate optimization algorithm on approximate solutions
• Variational quantum simulation of long-range interacting systems
• Optimisation-free Classification and Density Estimation with Quantum Circuits
• Eigenvalue-invariant transformation of Ising problem for anti-crossing mitigation in quantum annealing
• Time-optimal transfer of the quantum state in long qubit arrays
• Quantum Algorithm for Smoothed Particle Hydrodynamics
• Diagrammatic Analysis for Parameterized Quantum Circuits
• Toward Reliability in the NISQ Era: Robust Interval Guarantee for Quantum Measurements on Approximate States
• Scalable circuit depth reduction in feedback-based quantum optimization with a quadratic approximation
• Probing the limits of variational quantum algorithms for nonlinear ground states on real quantum hardware: The effects of noise
• High-precision tomography of ion qubits based on registration of fluorescent photons
• Digital Quantum Simulation and Circuit Learning for the Generation of Coherent States
• An example of use of Variational Methods in Quantum Machine Learning
• Determining the N-representability of a reduced density matrix via unitary evolution and stochastic sampling
• Entanglement estimation of Werner states with a quantum extreme learning machine
• Energy Landscape Plummeting in Variational Quantum Eigensolver: Subspace Optimization, Non-iterative Corrections and Generator-informed Initialization for Improved Quantum Efficiency
• Scalability Challenges in Variational Quantum Optimization under Stochastic Noise
• Quantum Circuit Design using a Progressive Widening Enhanced Monte Carlo Tree Search
• Molecular Properties from Quantum Krylov Subspace Diagonalization
• Letting the tiger out of its cage: bosonic coding without concatenation
• A modular entanglement-based quantum computer architecture
• Machine learning of quantum channels on NISQ devices
• Optimal depth and a novel approach to variational quantum process tomography
• Inverted-circuit zero-noise extrapolation for quantum gate error mitigation
• Characterization of overparametrization in the simulation of realistic quantum systems
• Accurate harmonic vibrational frequencies for diatomic molecules via quantum computing
• QSlack: A slack-variable approach for variational quantum semi-definite programming
• Connection between single-layer Quantum Approximate Optimization Algorithm interferometry and thermal distributions sampling
• Exploring the topological sector optimization on quantum computers
• State Preparation in a Jaynes-Cummings Lattice with Quantum Optimal Control
• A Compendious Review of Majorization-Based Resource Theories: Quantum Information and Quantum Thermodynamics
• Resource-efficient utilization of quantum computers
• Shallow quantum circuits for efficient preparation of Slater determinants and correlated states on a quantum computer
• Quantum computing quantum Monte Carlo algorithm
• Iterative Quantum Optimization with Adaptive Problem Hamiltonian
• Limitations of variational quantum algorithms: a quantum optimal transport approach
• Learning quantum phases via single-qubit disentanglement
• High-dimensional counterdiabatic quantum computing
• Parallel-in-time quantum simulation via Page and Wootters quantum time
• Localizing genuine multiparty entanglement in noisy stabilizer states
• Sequence of penalties method to study excited states using VQE
• Quantum Natural Gradient with Geodesic Corrections for Small Shallow Quantum Circuits
• Demonstration of Hardware Efficient Photonic Variational Quantum Algorithm
• Non-Iterative Disentangled Unitary Coupled-Cluster based on Lie-algebraic structure
• Quantum error mitigation for rotation symmetric bosonic codes with symmetry expansion
• Rigorous noise reduction with quantum autoencoders
• Controlling quantum many-body systems using reduced-order modelling
• Quantum contextual bandits and recommender systems for quantum data
• Efficient quantum algorithms for testing symmetries of open quantum systems
• Quantum mean value approximator for hard integer value problems
• Encoding-dependent generalization bounds for parametrized quantum circuits
• Large-scale Efficient Molecule Geometry Optimization with Hybrid Quantum-Classical Computing
• The Role of Quantum Computing in Advancing Scientific High-Performance Computing: A perspective from the ADAC Institute
• Warm Start Adaptive-Bias Quantum Approximate Optimization Algorithm
• Hamiltonian-based graph-state ansatz for variational quantum algorithms
• Pitfalls of the sublinear QAOA-based factorization algorithm
• Testing quantum computers with the protocol of quantum state matching
• Variational Quantum Simulation of Valence-Bond Solids
• A Simple and Efficient Joint Measurement Strategy for Estimating Fermionic Observables and Hamiltonians
• Neutron-nucleus dynamics simulations for quantum computers
• Low-Rank Variational Quantum Algorithm for the Dynamics of Open Quantum Systems
• QCEDA: Using Quantum Computers for EDA
• Certifying nonstabilizerness in quantum processors
• Quantum machine learning for multiclass classification beyond kernel methods
• Enhancing qubit readout with Bayesian Learning
• Calculation of the moscovium ground-state energy by quantum algorithms
• Bringing Quantum Systems under Control: A Tutorial Invitation to Quantum Computing and Its Relation to Bilinear Control Systems
• Accelerating Feedback-Based Quantum Algorithms through Time Rescaling
• Sampling Groups of Pauli Operators to Enhance Direct Fidelity Estimation
• Perturbative gadgets for gate-based quantum computing: Non-recursive constructions without subspace restrictions
• Hacking Cryptographic Protocols with Advanced Variational Quantum Attacks
• Quantum correlations in general qubit-qudit axially symmetric states
• Leveraging commuting groups for an efficient variational Hamiltonian ansatz
• Dual-VQE: A quantum algorithm to lower bound the ground-state energy
• Distance-four quantum codes with combined postselection and error correction
• Proximal quantum control of spin and spin ensemble with highly localized control field from skyrmions
• Transfer Learning Analysis of Variational Quantum Circuits
• Learning quantum states prepared by shallow circuits in polynomial time
• Quantum Shortcut to Adiabaticity for State Preparation in a Finite-Sized Jaynes-Cummings Lattice
• Inequality constraints in variational quantum circuits with qudits
• Learning Fourier series with parametrized quantum circuits
• Quantum median filter for Total Variation image denoising
• Clifford circuit based heuristic optimization of fermion-to-qubit mappings
• Predicting three-dimensional chaotic systems with four qubit quantum systems
• Probing many-body Bell correlation depth with superconducting qubits
• Continuous monitoring for noisy intermediate-scale quantum processors
• Cross-platform hardware benchmark of style-based quantum GANs for data augmentation on superconducting and trapped-ion processors
• Survey on Computational Applications of Tensor Network Simulations
• Compact Multi-Threshold Quantum Information Driven Ansatz For Strongly Interactive Lattice Spin Models
• Optimized numerical gradient and Hessian estimation for variational quantum algorithms
• Lacing topological orders in two dimensions: exactly solvable models for Kitaev's sixteen-fold way
• Out of the Loop: Structural Approximation of Optimisation Landscapes and non-Iterative Quantum Optimisation
• A Monte Carlo Tree Search approach to QAOA: finding a needle in the haystack
• Anticipative measurements in hybrid quantum-classical computation
• Variational post-selection for ground states and thermal states simulation
• Switching Time Optimization for Binary Quantum Optimal Control
• Quantum-inspired clustering with light
• Stable many-body resonances in open quantum systems
• Recursive relations and quantum eigensolver algorithms within modified Schrieffer--Wolff transformations for the Hubbard dimer
• Experimental realization of nonunitary multi-qubit operations
• Automatic Structural Search of Tensor Network States including Entanglement Renormalization
• Minimizing the negativity of quantum circuits in overcomplete quasiprobability representations
• Quantum state tomography with disentanglement algorithm
• Wasserstein Complexity of Quantum Circuits
• Certified Random Number Generation using Quantum Computers
• Achieving the volume-law entropy regime with random-sign Dicke states
• Estimation of Quantum Fisher Information via Stein's Identity in Variational Quantum Algorithms
• Pitfalls when tackling the exponential concentration of parameterized quantum models
• Machine learning non-Markovian two-level quantum noise spectroscopy
• An Energy Estimation Benchmark for Quantum Computers
• Quantum Approximation Optimization Algorithm for the Trellis based Viterbi Decoding of Classical Error Correcting Codes
• Spatial correlations in the qubit properties of D-Wave 2000Q measured and simulated qubit networks
• Practical limitations of quantum data propagation on noisy quantum processors
• Precision magnetometry exploiting excited state quantum phase transitions
• Time crystal embodies chimeralike state in periodically driven quantum spin system
• Optimal Particle-Conserved Linear Encoding for Practical Fermionic Simulation
• Quantum simulation of quantum mechanical system with spatial noncommutativity
• A quantum tug of war between randomness and symmetries on homogeneous spaces
• Integer Programming Using A Single Atom
• Quantum State Preparation for Probability Distributions with Reflection Symmetry Using Matrix Product States
• Quantum control without quantum states
• High-precision and low-depth quantum algorithm design for eigenstate problems
• Tensor Decompositions and Adiabatic Quantum Computing for Discovering Practical Matrix Multiplication Algorithms
• Adiabatic quantum computing with parameterized quantum circuits
• Quantum many-body simulation of finite-temperature systems with sampling a series expansion of a quantum imaginary-time evolution
• NISQ algorithm for the matrix elements of a generic observable
• qLEET: Visualizing Loss Landscapes, Expressibility, Entangling Power and Training Trajectories for Parameterized Quantum Circuits
• Stabilizer configuration interaction: Finding molecular subspaces with error detection properties
• Expressivity of deterministic quantum computation with one qubit
• Effective temperature in approximate quantum many-body states
• Variational quantum compiling for three-qubit gates design in quantum dots
• Modified Conjugate Quantum Natural Gradient
• Extracting the spin excitation spectrum of a fermionic system using a quantum processor
• Entanglement-informed Construction of Variational Quantum Circuits
• Policy Gradients using Variational Quantum Circuits
• Cavity polariton blockade for non-local entangling gates with trapped atoms
• Quantum Strong-to-Weak Spontaneous Symmetry Breaking in Decohered One Dimensional Critical States
• Space-time tradeoff in networked virtual distillation
• State Specific Measurement Protocols for the Variational Quantum Eigensolver
• Path Matters: Industrial Data Meet Quantum Optimization
• The Lie Algebra of XY-mixer Topologies and Warm Starting QAOA for Constrained Optimization
• Predicting fermionic densities using a Projected Quantum Kernel method
• Dynamical decoupling of interacting spins through group factorization
• Exponential distillation of dominant eigenproperties
• Learning the noise fingerprint of quantum devices
• Limitations of Quantum Hardware for Molecular Energy Estimation Using VQE
• Resource-Efficient Hadamard Test Tailored Variational Framework for Nonlinear Dynamics on Quantum Computers
• Tangent Space Excitation Ansatz for Quantum Circuits
• Solving the Hubbard model using density matrix embedding theory and the variational quantum eigensolver
• Bridging Quantum Computing and Nuclear Structure: Atomic Nuclei on a Trapped-Ion Quantum Computer
• Unsupervised Detection of Topological Phase Transitions with a Quantum Reservoir
• On the Noisy Road to Open Quantum Dynamics: The Place of Stochastic Hamiltonians
• Excluding false negative error in certification of quantum channels
• Scalable Quantum Computational Science: A Perspective from Block-Encodings and Polynomial Transformations
• Topological Defects from Quantum Reset Dynamics
• Tomography-assisted noisy quantum circuit simulator using matrix product density operators
• Demonstration of a variational quantum eigensolver with a solid-state spin system under ambient conditions
• Escaping Local Minima with Quantum Coherent Cooling
• Unsupervised detection of decoupled subspaces: many-body scars and beyond
• Suppressing decoherence in quantum state transfer with unitary operations
• Efficient Fermi-Hubbard model ground-state preparation by coupling to a classical reservoir in the instantaneous-response limit
• Double descent in quantum kernel methods
• Implementing Finite Impulse Response Filters on Quantum Computers
• QTIS: A QAOA-Based Quantum Time Interval Scheduler
• Warm-Start Variational Quantum Policy Iteration
• Compressed sensing enhanced by quantum approximate optimization algorithm
• Optimal Fermionic Joint Measurements for Estimating Non-Commuting Majorana Observables
• Estimating the degree of non-Markovianity using variational quantum circuits
• Correcting and extending Trotterized quantum many-body dynamics
• Digitized Counter-Diabatic Quantum Optimization for Bin Packing Problem
• Energy-saving fast-forward scaling
• Efficient Estimation and Sequential Optimization of Cost Functions in Variational Quantum Algorithms
• Experimental factoring integers using fixed-point-QAOA with a trapped-ion quantum processor
• Finding eigenvectors with a quantum variational algorithm
• Microwave-activated high-fidelity three-qubit gate scheme for fixed-frequency superconducting qubits
• Probabilistic imaginary-time evolution in state-vector-based and shot-based simulations and on quantum devices
• Weighted Approximate Quantum Natural Gradient for Variational Quantum Eigensolver
• Quantum Annealing Algorithms for Estimating Ising Partition Functions
• Vanishing performance of the parity-encoded quantum approximate optimization algorithm applied to spin-glass models
• Counterdiabatic ADAPT-VQE for molecular simulation
• Variational-toolbox-based separability detection of multiqubit states
• Noise tolerance via reinforcement: Learning a reinforced quantum dynamics
• Determining the ensemble N-representability of Reduced Density Matrices
• Describing Trotterized Time Evolutions on Noisy Quantum Computers via Static Effective Lindbladians
• A variational quantum algorithm for entanglement quantification
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $\lambda {\varphi }^4$ model
• Quantum Computing Methods for Malware Detection
• Quantum simulation of entanglement dynamics in a quantum processor
• A Noise-Aware Scalable Subspace Classical Optimizer for the Quantum Approximate Optimization Algorithm
• The Dual Role of Low-Weight Pauli Propagation: A Flawed Simulator but a Powerful Initializer for Variational Quantum Algorithms
• Quantum fidelity kernel with a trapped-ion simulation platform
• Symmetry-based quantum algorithms for open-shop scheduling with hard constraints
• Artificial intelligence for representing and characterizing quantum systems
• Robustness of optimized numerical estimation schemes for noisy variational quantum algorithms
• Quantum correlation generation capability of experimental processes
• Adaptive Quantum Generative Training using an Unbounded Loss Function
• OnionVQE Optimization Strategy for Ground State Preparation on NISQ Devices
• Digital quantum simulation of gravitational optomechanics with IBM quantum computers
• Quantum neural network autoencoder and classifier applied to an industrial case study
• Accelerating Quantum Eigensolver Algorithms With Machine Learning
• A coherent approach to quantum-classical optimization
• Making the cut: two methods for breaking down a quantum algorithm
• Cheaper and more noise-resilient quantum state preparation using eigenvector continuation
• Symmetry-enhanced Counterdiabatic Quantum Algorithm for Qudits
• Phases and phase transition in Grover's algorithm with systematic noise
• Distributing Quantum Computations, Shot-wise
• Short-time simulation of quantum dynamics by Pauli measurements
• Global optimization in variational quantum algorithms via dynamic tunneling method
• A physical noise model for quantum measurements
• From Hope to Heuristic: Realistic Runtime Estimates for Quantum Optimisation in NHEP
• Geometric and holonomic quantum computation
• Practical Quantum Reservoir Computing in Rydberg Atom Arrays
• A variational quantum eigensolver tailored to multi-band tight-binding simulations of electronic structures
• Measuring entanglement without local addressing in quantum many-body simulators via spiral quantum state tomography
• Limits of Clifford Disentangling in Tensor Network States
• Controlling quantum chaos via Parrondo strategies on noisy intermediate-scale quantum hardware
• Toward Density Functional Theory on Quantum Computers?
• Velocity Verlet-based optimization for variational quantum eigensolvers
• QAISim: A Toolkit for Modeling and Simulation of AI in Quantum Cloud Computing Environments
• Quantum State Preparation and Non-Unitary Evolution with Diagonal Operators
• Exploring the Fidelity of Flux Qubit Measurement in Different Bases via the Quantum Flux Parametron
• Scalable Simulation of Quantum Many-Body Dynamics with Or-Represented Quantum Algebra
• Quantum-Classical Computing for Time-Dependent Ion-Atom Collision Dynamics: Applications to Charge Transfer Cross Section Simulations
• Improving the trainability of VQE on NISQ computers for solving portfolio optimization using convex interpolation
• Structural encoding with classical codes for computational-basis bit-flip correction in the early fault-tolerant regime
• Resource-Optimized Grouping Shadow for Efficient Energy Estimation
• Orders of chaoticity of unitaries
• Analog Circuit-QED Simulator of Quantum Spin Dynamics Through the Extended Bose-Hubbard Model
• Qudit-native measurement protocol for dynamical correlations using Hadamard tests
• Error-Mitigated Multi-Layer Quantum Routing
• Masking Countermeasures Against Side-Channel Attacks on Quantum Computers
• Universally Robust Control of Open Quantum Systems
• Capabilities and Limits of the Unitary Coupled-cluster Approach with Generalized Two-body Cluster Operators
• Inference of maximum parsimony phylogenetic trees with model-based classical and quantum methods
• Effective non-local parity-dependent couplings in qubit chains
• One-to-one correspondence between thermal structure factors and coupling constants of general bilinear Hamiltonians
• Circuit connectivity boosts by quantum-classical-quantum interfaces
• Noise-Resilient Quantum Reinforcement Learning
• Pulse engineering via projection of response functions
• Scalable platform for qudit-based quantum computing using polar molecules
• Moments of Quantum Channel Ensembles
• Programming tools for Analogue Quantum Computing in the High-Performance Computing Context -- A Review
• Correlated Purification for Restoring $N$-Representability in Quantum Simulation
• Training Hybrid Classical-Quantum Classifiers via Stochastic Variational Optimization
• Equivalence between exponential concentration in quantum machine learning kernels and barren plateaus in variational algorithms
• Protocol for Purifying Noisy Preparation and Measurements of Qubits
• Role of overparametrization in quantum approximate optimization
• Noisy Monitored Quantum Circuits
• Superior resilience to poisoning and amenability to unlearning in quantum machine learning
• Disentangling quantum autoencoder
• A Taxonomy of Real Faults in Hybrid Quantum-Classical Architectures
• Quantum Encoding of Structured Data with Matrix Product States
• Quantum Alternating Operator Ansatz for the Preparation and Detection of Long-Lived Singlet States in NMR
• Exponential Separation Criteria for Quantum Iterative Power Algorithms
• Quantum reservoir computing for predicting and characterizing chaotic maps
• Evidence for effectively constant shot complexity in the quantum approximate optimization algorithm without per-instance optimization
• Entropy density benchmarking of near-term quantum circuits
• Applying Grover-mixer quantum alternating operator ansatz algorithm to higher-order unconstrained binary optimization problems
• Hybrid Real-Imaginary Time Evolution for Low-Depth Hamiltonian Simulation in Quantum Optimization
• Error bounds on the universal Lindblad equation in the thermodynamic limit
• Variational matrix product states for combinatorial optimization
• A Useful Metric for the NISQ Era: Qubit Error Probability and Its Role in Zero Noise Extrapolation
• Many-body thermal states on a quantum computer: a variational approach
• Observation of the Quantum Zeno Effect on a NISQ Device
• Nonadiabatic Self-Healing of Trotter Errors in Digitized Counterdiabatic Dynamics
• Complex-valued in-medium potential between heavy impurities in ultracold atoms
• LArTPC hit-based topology classification with quantum machine learning and symmetry
• Performance evaluation of variational quantum eigensolver and quantum dynamics algorithms on the advection-diffusion equation
• Information Processing in Quantum Thermodynamic Systems: an Autonomous Hamiltonian Approach
• Quantum approximate optimization of finite-state bosonic systems
• Quantum Computation
• Hybrid Classical-Quantum Simulation of MaxCut using QAOA-in-QAOA
• Double-bracket quantum algorithms for high-fidelity ground state preparation
• CDJ-Pontryagin Optimal Control for General Continuously Monitored Quantum Systems
• Robustness and classical proxy of entanglement in variants of quantum walk
• Information storage and transmission under Markovian noise
• Hybrid quantum recurrent neural network for remaining useful life prediction of turbofan engines
• Enhanced quantum hypothesis testing via the interplay between coherent evolution and noises
• Size-Consistent Quantum Chemistry on Quantum Computers
• Variational Quantum Subspace Construction via Symmetry-Preserving Cost Functions
• Variational Quantum Algorithm for Solving the Liouvillian Gap
• Unbiased observable estimation with approximate channels in fault-tolerant quantum computation
• Quantum Algorithms for Causal Estimands