The theory of variational hybrid quantum-classical algorithms

Abstract

Many quantum algorithms have daunting resource requirements when compared to what is available today. To address this discrepancy, a quantum-classical hybrid optimization scheme known as "the quantum variational eigensolver" was developed with the philosophy that even minimal quantum resources could be made useful when used in conjunction with classical routines. In this work we extend the general theory of this algorithm and suggest algorithmic improvements for practical implementations. Specifically, we develop a variational adiabatic ansatz and explore unitary coupled cluster where we establish a connection from second order unitary coupled cluster to universal gate sets through relaxation of exponential splitting. We introduce the concept of quantum variational error suppression that allows some errors to be suppressed naturally in this algorithm on a pre-threshold quantum device. Additionally, we analyze truncation and correlated sampling in Hamiltonian averaging as ways to reduce the cost of this procedure. Finally, we show how the use of modern derivative free optimization techniques can offer dramatic computational savings of up to three orders of magnitude over previously used optimization techniques.

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• Selected topics of quantum computing for nuclear physics
• Dual-Parameterized Quantum Circuit GAN Model in High Energy Physics
• Efficient variational synthesis of quantum circuits with coherent multi-start optimization
• A review of Quantum Neural Networks: Methods, Models, Dilemma
• Quantum-Selected Configuration Interaction: classical diagonalization of Hamiltonians in subspaces selected by quantum computers
• HAMMER: boosting fidelity of noisy Quantum circuits by exploiting Hamming behavior of erroneous outcomes
• Automatically Differentiable Quantum Circuit for Many-qubit State Preparation
• Reinforcement learning for semi-autonomous approximate quantum eigensolver
• Variationally Scheduled Quantum Simulation
• Quantifying Unknown Quantum Entanglement via a Hybrid Quantum-Classical Machine Learning Framework
• Quantifying the efficiency of state preparation via quantum variational eigensolvers
• Reachability Deficits in Quantum Approximate Optimization of Graph Problems
• Boltzmann machine learning with a variational quantum algorithm
• Assessing three closed-loop learning algorithms by searching for high-quality quantum control pulses
• One-particle Green's functions from the quantum equation of motion algorithm
• Training variational quantum algorithms with random gate activation
• Quantum Liang Information Flow as Causation Quantifier
• Nearly-optimal state preparation for quantum simulations of lattice gauge theories
• Error mitigation with Clifford quantum-circuit data
• Variational Quantum Algorithms for the Allocation of Resources in a Cloud/Edge Architecture
• Classical and quantum regression analysis for the optoelectronic performance of NTCDA/p-Si UV photodiode
• Quantum Fourier analysis for multivariate functions and applications to a class of Schrödinger-type partial differential equations
• Generic detection-based error-mitigation using quantum autoencoders
• Entanglement Production and Convergence Properties of the Variational Quantum Eigensolver
• Collective optimization for variational quantum eigensolvers
• Exponentially tighter bounds on limitations of quantum error mitigation
• The Basics of Quantum Computing for Chemists
• Creating and manipulating a Laughlin-type $\nu =1/3$ fractional quantum Hall state on a quantum computer with linear depth circuits
• Information processing at the speed of light
• Tensor networks for interpretable and efficient quantum-inspired machine learning
• Neural network encoded variational quantum algorithms
• Efficient estimation of trainability for variational quantum circuits
• Group-theoretic error mitigation enabled by classical shadows and symmetries
• Recurrent Quantum Neural Networks
• Quantum simulations of Fermionic Hamiltonians with efficient encoding and ansatz schemes
• Schrödinger-Heisenberg Variational Quantum Algorithms
• Towards a variational Jordan-Lee-Preskill quantum algorithm
• Automated Quantum Circuit Design with Nested Monte Carlo Tree Search
• Molecular Quantum Circuit Design: A Graph-Based Approach
• Quantum simulation of excited states from parallel contracted quantum eigensolvers
• AGP-based unitary coupled cluster theory for quantum computers
• Finite-size criticality in fully connected spin models on superconducting quantum hardware
• Complete Quantum-State Tomography with a Local Random Field
• A diagrammatic approach to variational quantum ansatz construction
• Comparative study of adaptive variational quantum eigensolvers for multi-orbital impurity models
• Quantum Machine Learning Tensor Network States
• Optimizing Ansatz Design in QAOA for Max-cut
• Reducing the amount of single-qubit rotations in VQE and related algorithms
• Stochastic noise can be helpful for variational quantum algorithms
• Pulse-efficient quantum machine learning
• Minimal Effective Gibbs Ansatz (MEGA): A simple protocol for extracting an accurate thermal representation for quantum simulation
• PANSATZ: Pulse-based Ansatz for Variational Quantum Algorithms
• Sampling Overhead Analysis of Quantum Error Mitigation: Uncoded vs. Coded Systems
• Quantum chemistry and charge transport in biomolecules with superconducting circuits
• A systematic variational approach to band theory in a quantum computer
• Adaptive construction of shallower quantum circuits with quantum spin projection for fermionic systems
• Effects of gate errors in digital quantum simulations of fermionic systems
• Practical Verification of Quantum Properties in Quantum Approximate Optimization Runs
• Quantum Error Mitigation Relying on Permutation Filtering
• State Preparation Boosters for Early Fault-Tolerant Quantum Computation
• Implementation of Measurement Reduction for the Variational Quantum Eigensolver
• TenCirChem: An Efficient Quantum Computational Chemistry Package for the NISQ Era
• Many-body calculations for periodic materials via quantum machine learning
• Chemically Aware Unitary Coupled Cluster with ab initio Calculations on System Model H1: A Refrigerant Chemicals Application
• Quantum Simulations of SO(5) Many-Fermion Systems using Qudits
• A Tool For Debugging Quantum Circuits
• Calculating nonadiabatic couplings and Berry's phase by variational quantum eigensolvers
• Superconducting quantum many-body circuits for quantum simulation and computing
• Exploiting fermion number in factorized decompositions of the electronic structure Hamiltonian
• HamLib: A library of Hamiltonians for benchmarking quantum algorithms and hardware
• Short-depth circuits for efficient expectation value estimation
• Extending echo state property for quantum reservoir computing
• Heuristics for Quantum Compiling with a Continuous Gate Set
• Accelerated variational quantum eigensolver with joint Bell measurement
• One-dimensional quantum computing with a 'segmented chain' is feasible with today's gate fidelities
• Quantum Generative Adversarial Networks For Anomaly Detection In High Energy Physics
• Variational quantum algorithm for ergotropy estimation in quantum many-body batteries
• Quantum-probabilistic Hamiltonian learning for generative modelling & anomaly detection
• Networked Quantum Services
• Fault-tolerant quantum algorithms for quantum molecular systems: A survey
• Spatial, spin, and charge symmetry projections for a Fermi-Hubbard model on a quantum computer
• High Fidelity Entangling Gates in a 3D Ion Crystal under Micromotion
• Post-Hartree-Fock method in Quantum Chemistry for Quantum Computer
• Evaluating a quantum-classical quantum Monte Carlo algorithm with Matchgate shadows
• Quantum algorithms for scientific computing
• Quantum computer-aided design: digital quantum simulation of quantum processors
• Variational dynamics as a ground-state problem on a quantum computer
• Certified variational quantum algorithms for eigenstate preparation
• Simulating ${\mathbb{Z}}_2$ Lattice Gauge Theory with the Variational Quantum Thermalizer
• Relation between fermionic and qubit mean fields in the electronic structure problem
• Quantum Equation of Motion with Orbital Optimization for Computing Molecular Properties in Near-Term Quantum Computing
• Variational Quantum Eigensolver for SU($N$) Fermions
• Quantum circuits for the preparation of spin eigenfunctions on quantum computers
• Optimizing Counterdiabaticity by Variational Quantum Circuits
• Efficient Two-Electron Ansatz for Benchmarking Quantum Chemistry on a Quantum Computer
• Quantum Optimization for Training Quantum Neural Networks
• Quantum-classical eigensolver using multiscale entanglement renormalization
• ScQ cloud quantum computation for generating Greenberger-Horne-Zeilinger states of up to 10 qubits
• Solution of SAT Problems with the Adaptive-Bias Quantum Approximate Optimization Algorithm
• Scalable Quantum Simulations of Scattering in Scalar Field Theory on 120 Qubits
• The Unified Effect of Data Encoding, Ansatz Expressibility and Entanglement on the Trainability of HQNNs
• Which options exist for NISQ-friendly linear response formulations?
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Simulating noisy variational quantum eigensolver with local noise models
• Optimizing the information extracted by a single qubit measurement
• Efficient Quantum Analytic Nuclear Gradients with Double Factorization
• Variational wavefunctions for Sachdev-Ye-Kitaev models
• Improved variational quantum eigensolver via quasi-dynamical evolution
• Protecting Quantum Information in Quantum Dot Spin Chains by Driving Exchange Interactions Periodically
• Variational quantum Gibbs state preparation with a truncated Taylor series
• Conditional Born machine for Monte Carlo event generation
• Accurate and Efficient Quantum Computations of Molecular Properties Using Daubechies Wavelet Molecular Orbitals: A Benchmark Study against Experimental Data
• Estimating Quantum Hamiltonians via Joint Measurements of Noisy Non-Commuting Observables
• Quantum Simulation of the N flavor Gross-Neveu Model
• Q${}^2$Chemistry: A quantum computation platform for quantum chemistry
• Quantum simulations of molecular systems with intrinsic atomic orbitals
• Simulating gauge theories with variational quantum eigensolvers in superconducting microwave cavities
• A unified framework of transformations based on the Jordan-Wigner transformation
• A stochastic quantum Krylov protocol with double factorized Hamiltonians
• Synergetic quantum error mitigation by randomized compiling and zero-noise extrapolation for the variational quantum eigensolver
• What the foundations of quantum computer science teach us about chemistry
• Benefits of Open Quantum Systems for Quantum Machine Learning
• A Scalable Decoder Micro-architecture for Fault-Tolerant Quantum Computing
• Variational quantum solver employing the PDS energy functional
• Simulation of adiabatic quantum computing for molecular ground states
• What do QAOA energies reveal about graphs?
• Error mitigation by training with fermionic linear optics
• FLIP: A flexible initializer for arbitrarily-sized parametrized quantum circuits
• Avoiding local minima in Variational Quantum Algorithms with Neural Networks
• Variational Quantum-Neural Hybrid Error Mitigation
• A variational quantum algorithm for Hamiltonian diagonalization
• Error mitigation on a near-term quantum photonic device
• Assessment of the variational quantum eigensolver: application to the Heisenberg model
• Estimating Phosphorescent Emission Energies in Ir(III) Complexes using Large-Scale Quantum Computing Simulations
• Fast, high precision dynamics in quantum optimal control theory
• Development of Zero-Noise Extrapolated Projection Based Quantum Algorithm for Accurate Evaluation of Molecular Energetics in Noisy Quantum Devices
• Ability of error correlations to improve the performance of variational quantum algorithms
• Quantum Computation of Hydrogen Bond Dynamics and Vibrational Spectra
• Towards Finding an Optimal Flight Gate Assignment on a Digital Quantum Computer
• Variational determination of multi-qubit geometrical entanglement in NISQ computers
• Guaranteed efficient energy estimation of quantum many-body Hamiltonians using ShadowGrouping
• Lowering Tomography Costs in Quantum Simulation with a Symmetry Projected Operator Basis
• Discovering optimal fermion-qubit mappings through algorithmic enumeration
• Playing Atari with Hybrid Quantum-Classical Reinforcement Learning
• Dynamical mean-field theory for the Hubbard-Holstein model on a quantum device
• Variational Approach to Quantum State Tomography based on Maximal Entropy Formalism
• Encoding trade-offs and design toolkits in quantum algorithms for discrete optimization: coloring, routing, scheduling, and other problems
• Extension of the Trotterized Unitary Coupled Cluster to Triple Excitations
• Neural network enhanced measurement efficiency for molecular groundstates
• Variational quantum solutions to the Shortest Vector Problem
• Quantum Circuit Evolution on NISQ Devices
• Riemannian optimization of photonic quantum circuits in phase and Fock space
• Initial experimental results on a superconducting-qubit reset based on photon-assisted quasiparticle tunneling
• Gutzwiller wave function on a quantum computer using a discrete Hubbard-Stratonovich transformation
• Measurement optimization of variational quantum simulation by classical shadow and derandomization
• Natural parameterized quantum circuit
• On-Premises Superconducting Quantum Computer for Education and Research
• Efficient Quantum Simulation of Electron-Phonon Systems by Variational Basis State Encoder
• Atom-Orbital Qubits under Holonomic Quantum Control
• Variational Quantum Cloning: Improving Practicality for Quantum Cryptanalysis
• Beyond unital noise in variational quantum algorithms: noise-induced barren plateaus and limit sets
• Jarzynski-like Equality of Nonequilibrium Information Production Based on Quantum Cross Entropy
• Quantum Computing and Tensor Networks for Laminate Design: A Novel Approach to Stacking Sequence Retrieval
• Efficient Quantum Simulation of QCD Jets on the Light Front
• Subspace methods for the simulation of molecular response properties on a quantum computer
• An efficient finite-resource formulation of non-Abelian lattice gauge theories beyond one dimension
• Semantics for Variational Quantum Programming
• A quantum algorithm for the direct estimation of the steady state of open quantum systems
• How to enhance quantum generative adversarial learning of noisy information
• Complexity of Supersymmetric Systems and the Cohomology Problem
• Hybrid quantum variational algorithm for simulating open quantum systems with near-term devices
• A blueprint for a Digital-Analog Variational Quantum Eigensolver using Rydberg atom arrays
• A Tutorial on Quantum Convolutional Neural Networks (QCNN)
• A quantum-classical co-processing protocol towards simulating nuclear reactions on contemporary quantum hardware
• Reducing the Resources Required by ADAPT-VQE Using Coupled Exchange Operators and Improved Subroutines
• Computationally Efficient Quantum Expectation with Extended Bell Measurements
• Fermionic approach to variational quantum simulation of Kitaev spin models
• Guided quantum walk
• Differentiable Programming of Isometric Tensor Networks
• Robustness to spontaneous emission of a variational quantum algorithm
• Numerical hardware-efficient variational quantum simulation of a soliton solution
• Tailored and Externally Corrected Coupled Cluster with Quantum Inputs
• Scattering phase shifts from a quantum computer
• A Hybrid Quantum-Classical Paradigm to Mitigate Embedding Costs in Quantum Annealing
• Strategies for quantum-optimized construction of interpolating operators in classical simulations of lattice quantum field theories
• Benchmarking universal quantum gates via channel spectrum
• Mitigated barren plateaus in the time-nonlocal optimization of analog quantum-algorithm protocols
• Quantum-machine-learning channel discrimination
• QFactor: A Domain-Specific Optimizer for Quantum Circuit Instantiation
• Optimizing Variational Quantum Algorithms with qBang: Efficiently Interweaving Metric and Momentum to Navigate Flat Energy Landscapes
• Hybrid quantum-classical algorithms for solving quantum chemistry in Hamiltonian-wavefunction space
• Optimizing the number of measurements for vibrational structure on quantum computers: coordinates and measurement schemes
• VQE Method: A Short Survey and Recent Developments
• Variational quantum iterative power algorithms for global optimization
• Spin coupling is all you need: Encoding strong electron correlation in molecules on quantum computers
• Benchmarking quantum gates and circuits
• Exhaustive search for optimal molecular geometries using imaginary-time evolution on a quantum computer
• Variational Quanvolutional Neural Networks with enhanced image encoding
• Hardware-Tailored Diagonalization Circuits
• Beyond MP2 initialization for unitary coupled cluster quantum circuits
• Estimating the randomness of quantum circuit ensembles up to 50 qubits
• Studying the phase diagram of the three-flavor Schwinger model in the presence of a chemical potential with measurement- and gate-based quantum computing
• Adaptive variational preparation of the Fermi-Hubbard eigenstates
• The role of data embedding in equivariant quantum convolutional neural networks
• Single-component gradient rules for variational quantum algorithms
• Mixed Integer Linear Programming Solver Using Benders Decomposition Assisted by Neutral Atom Quantum Processor
• Grover-QAOA for 3-SAT: Quadratic Speedup, Fair-Sampling, and Parameter Clustering
• Physically motivated improvements of Variational Quantum Eigensolvers
• Efficient Assessment of Process Fidelity
• Dissipative variational quantum algorithms for Gibbs state preparation
• Symmetry-informed transferability of optimal parameters in the Quantum Approximate Optimization Algorithm
• Quantum Computing for Energy Correlators
• Qoncord: A Multi-Device Job Scheduling Framework for Variational Quantum Algorithms
• QDNN: DNN with Quantum Neural Network Layers
• Variational quantum state preparation via quantum data buses
• QCOR: A Language Extension Specification for the Heterogeneous Quantum-Classical Model of Computation
• On the Need for Large Quantum Depth
• Experimental hybrid quantum-classical reinforcement learning by boson sampling: how to train a quantum cloner
• Near-Term Quantum-Classical Associative Adversarial Networks
• Automatic Depth Optimization for Quantum Approximate Optimization Algorithm
• Measurement-based infused circuits for variational quantum eigensolvers
• A Generic Compilation Strategy for the Unitary Coupled Cluster Ansatz
• Unitary Coupled Cluster: Seizing the Quantum Moment
• Polynomial Reduction Methods and their Impact on QAOA Circuits
• Quantum annealing with twisted fields
• Jet Discrimination with Quantum Complete Graph Neural Network
• Entanglement assisted training algorithm for supervised quantum classifiers
• Low-depth Clifford circuits approximately solve MaxCut
• The variational quantum eigensolver self-consistent field method within a polarizable embedded framework
• Probing phases of quantum matter with an ion-trap tensor-network quantum eigensolver
• Towards chemical accuracy with shallow quantum circuits: A Clifford-based Hamiltonian engineering approach
• Solving an Industrially Relevant Quantum Chemistry Problem on Quantum Hardware
• VanQver: The Variational and Adiabatically Navigated Quantum Eigensolver
• Unitary Partitioning and the Contextual Subspace Variational Quantum Eigensolver
• Variational Quantum Algorithms for Trace Distance and Fidelity Estimation
• Parallel Quantum Chemistry on Noisy Intermediate-Scale Quantum Computers
• F-Divergences and Cost Function Locality in Generative Modelling with Quantum Circuits
• Laziness, Barren Plateau, and Noise in Machine Learning
• A hybrid quantum algorithm to detect conical intersections
• Global Variational Quantum Circuits for Arbitrary Symmetric State Preparation
• Programmable adiabatic demagnetization for systems with trivial and topological excitations
• Calibration-Aware Transpilation for Variational Quantum Optimization
• Analytical formulation of the second-order derivative of energy for orbital-optimized variational quantum eigensolver: application to polarizability
• Techniques for learning sparse Pauli-Lindblad noise models
• Hybrid Tree Tensor Networks for quantum simulation
• Quantum subspace expansion in the presence of hardware noise
• Variational secure cloud quantum computing
• Quantum algorithms for generator coordinate methods
• Enhancing VQE Convergence for Optimization Problems with Problem-specific Parameterized Quantum Circuits
• Probabilistic Eigensolver with a Trapped-Ion Quantum Processor
• Identification of topological phases using classically-optimized variational quantum eigensolver
• Simulating spectroscopy experiments with a superconducting quantum computer
• NISQ-compatible approximate quantum algorithm for unconstrained and constrained discrete optimization
• Measurable Krylov Spaces and Eigenenergy Count in Quantum State Dynamics
• State preparation of AGP on a quantum computer without number projection
• Quantum Computation for Predicting Electron and Phonon Properties of Solids
• The phase diagram of quantum chromodynamics in one dimension on a quantum computer
• Bayesian Learning of Parameterised Quantum Circuits
• Forecasting steam mass flow in power plants using the parallel hybrid network
• QTN-VQC: An End-to-End Learning framework for Quantum Neural Networks
• Calculation of the ground-state Stark effect in small molecules using the variational quantum eigensolver
• Hückel Molecular Orbital Theory on a Quantum Computer: A Scalable System-Agnostic Variational Implementation with Compact Encoding
• Energy-dependent barren plateau in bosonic variational quantum circuits
• NoRA: A Tensor Network Ansatz for Volume-Law Entangled Equilibrium States of Highly Connected Hamiltonians
• Computation of Green's function by local variational quantum compilation
• Random coordinate descent: a simple alternative for optimizing parameterized quantum circuits
• Robust and Resource-Efficient Quantum Circuit Approximation
• Preserving Entanglement in a Solid-Spin System Using Quantum Autoencoders
• Improved iterative quantum algorithm for ground-state preparation
• Virtual distillation with noise dilution
• Variational Quantum Eigensolver Ansatz for the $J_1$-$J_2$-model
• Reduced density matrix formulation of quantum linear response
• Computing Graph Edit Distance with Algorithms on Quantum Devices
• Application of the Diamond Gate in Quantum Fourier Transformations and Quantum Machine Learning
• Mitigating Quantum Errors via Truncated Neumann Series
• Quantum Error Mitigation via Quantum-Noise-Effect Circuit Groups
• Improving the performance of quantum approximate optimization for preparing non-trivial quantum states without translational symmetry
• A Novel Quantum Realization of Jet Clustering in High-Energy Physics Experiments
• Mapping renormalized coupled cluster methods to quantum computers through a compact unitary representation of non-unitary operators
• Error-tolerant quantum convolutional neural networks for symmetry-protected topological phases
• Evaluating the Resilience of Variational Quantum Algorithms to Leakage Noise
• Quantum computing for classical problems: Variational Quantum Eigensolver for activated processes
• Empirical Sample Complexity of Neural Network Mixed State Reconstruction
• A quantum information theoretic analysis of reinforcement learning-assisted quantum architecture search
• Quantum reinforcement learning in the presence of thermal dissipation
• Ansatz-Independent Variational Quantum Classifier
• Generalising quantum imaginary time evolution to solve linear partial differential equations
• Variational generation of spin squeezing on one-dimensional quantum devices with nearest-neighbor interactions
• Variational certification of quantum devices
• Formal Methods for Quantum Programs: A Survey
• Implementing Jastrow--Gutzwiller operators on a quantum computer using the cascaded variational quantum eigensolver algorithm
• Hype or Heuristic? Quantum Reinforcement Learning for Join Order Optimisation
• Absence of barren plateaus and scaling of gradients in the energy optimization of isometric tensor network states
• Hybrid Ground-State Quantum Algorithms based on Neural Schrödinger Forging
• Statistical Approach to Quantum Phase Estimation
• Hybrid quantum-classical unsupervised data clustering based on the self-organizing feature map
• Towards Efficient Ansatz Architecture for Variational Quantum Algorithms
• Calculation of core-excited and core-ionized states using variational quantum deflation method and applications to photocatalyst modelling
• Hybrid quantum-classical algorithm for the transverse-field Ising model in the thermodynamic limit
• Hamiltonian learning from time dynamics using variational algorithms
• Quantum Computing for Heavy Quarkonium Spectroscopy
• Parameterized Two-Qubit Gates for Enhanced Variational Quantum Eigensolver
• Ultrafast Hybrid Fermion-to-Qubit mapping
• Classical Pre-optimization Approach for ADAPT-VQE: Maximizing the Potential of High-Performance Computing Resources to Improve Quantum Simulation of Chemical Applications
• Variational quantum computing for quantum simulation: principles, implementations, and challenges
• GraphStateVis: Interactive Visual Analysis of Qubit Graph States and their Stabilizer Groups
• Simulator Demonstration of Large Scale Variational Quantum Algorithm on HPC Cluster
• Local, Expressive, Quantum-Number-Preserving VQE Ansatze for Fermionic Systems
• Parameter-Parallel Distributed Variational Quantum Algorithm
• Noise-robust exploration of many-body quantum states on near-term quantum devices
• Gradients and frequency profiles of quantum re-uploading models
• Unleashed from Constrained Optimization: Quantum Computing for Quantum Chemistry Employing Generator Coordinate Inspired Method
• A Hybrid Qubit Encoding: Splitting Fock Space into Fermionic and Bosonic Subspaces
• Fermionic Adaptive Sampling Theory for Variational Quantum Eigensolvers
• Quantum annealing-based computed tomography using variational approach for a real-number image reconstruction
• Finite-depth scaling of infinite quantum circuits for quantum critical points
• A Universal Quantum Circuit Design for Periodical Functions
• Two-dimensional coherent spectrum of high-spin models via a quantum computing approach
• Hardware-efficient entangled measurements for variational quantum algorithms
• A Quantum Search Decoder for Natural Language Processing
• Efficient Two-Qubit Pulse Sequences Beyond CNOT
• Shortcut to Chemically Accurate Quantum Computing via Density-based Basis-set Correction
• Practicality of quantum adiabatic algorithm for chemistry applications
• Exponential Qubit Reduction in Optimization for Financial Transaction Settlement
• A Quantum Algorithmic Approach to Multiconfigurational Valence Bond Theory: Insights from Interpretable Circuit Design
• Detection of energy levels of a spin system on a quantum computer by probe spin evolution
• Understanding and mitigating noise in molecular quantum linear response for spectroscopic properties on quantum computers
• Nondestructive classification of quantum states using an algorithmic quantum computer
• Error mitigation, optimization, and extrapolation on a trapped ion testbed
• Framework for Learning and Control in the Classical and Quantum Domains
• Efficient ground-state energy estimation and certification on early fault-tolerant quantum computers
• SHARC-VQE: Simplified Hamiltonian Approach with Refinement and Correction enabled Variational Quantum Eigensolver for Molecular Simulation
• Scalable circuit depth reduction in feedback-based quantum optimization with a quadratic approximation
• FragPT2: Multi-Fragment Wavefunction Embedding with Perturbative Interactions
• Toward a quantum computing algorithm to quantify classical and quantum correlation of system states
• Optimization of the Variational Quantum Eigensolver for Quantum Chemistry Applications
• Adaptive variational quantum dynamics simulations with compressed circuits and fewer measurements
• Simulating thermodynamic properties of dinuclear metal complexes using Variational Quantum Algorithms
• Compressed variational quantum eigensolver for the Fermi-Hubbard model
• Noise reduction using past causal cones in variational quantum algorithms
• Sketching phase diagrams using low-depth variational quantum algorithms
• Quantum computational study of chloride ion attack on chloromethane for chemical accuracy and quantum noise effects with UCCSD and k-UpCCGSD ansatzes
• An approach to solve the coarse-grained Protein folding problem in a Quantum Computer
• Characterizing randomness in parameterized quantum circuits through expressibility and average entanglement
• Best-approximation error for parametric quantum circuits
• Quantum Natural Gradient optimizer on noisy platforms: QAOA as a case study
• Noise-tolerant quantum speedups in quantum annealing without fine tuning
• Probing the limits of variational quantum algorithms for nonlinear ground states on real quantum hardware: The effects of noise
• Scalable quantum measurement error mitigation via conditional independence and transfer learning
• Variational quantum simulation of long-range interacting systems
• A Quantum Annealing Protocol to Solve the Nuclear Shell Model
• A near-term quantum simulation of the transverse field Ising model hints at Glassy Dynamics
• Robust Diabatic Quantum Search by Landau-Zener-Stückelberg Oscillations
• Adaptive variational ground state preparation for spin-1 models on qubit-based architectures
• Time-Optimal Quantum Driving by Variational Circuit Learning
• ChemiQ: A Chemistry Simulator for Quantum Computer
• Diagrammatic Analysis for Parameterized Quantum Circuits
• Digital-analog quantum genetic algorithm using Rydberg-atom arrays
• Efficient measurement schemes for bosonic systems
• Systematic study on the dependence of the warm-start quantum approximate optimization algorithm on approximate solutions
• Roadmap for quantum simulation of the fractional quantum Hall effect
• Quantum computing for genomics: conceptual challenges and practical perspectives
• Toward Reliability in the NISQ Era: Robust Interval Guarantee for Quantum Measurements on Approximate States
• Divergences in classical and quantum linear response and equation of motion formulations
• Analytical Ground- and Excited-State Gradients for Molecular Electronic Structure Theory from Hybrid Quantum/Classical Methods
• Quantum computing of the pairing Hamiltonian at finite temperatures
• Exact block encoding of imaginary time evolution with universal quantum neural networks
• Variational quantum simulation of critical Ising model with symmetry averaging
• Toward a standardized methodology for constructing quantum computing use cases
• Generation of Pseudo-Random Quantum States on Actual Quantum Processors
• Iterative Quantum Optimization with Adaptive Problem Hamiltonian
• Exploring the topological sector optimization on quantum computers
• Calculation of Gibbs partition function with imaginary time evolution on near-term quantum computers
• Simulating a quasiparticle on a quantum device
• Improved resource-tunable near-term quantum algorithms for transition probabilities, with applications in physics and variational quantum linear algebra
• Estimating molecular thermal averages with the quantum equation of motion and informationally complete measurements
• Lagrangian Duality in Quantum Optimization: Overcoming QUBO Limitations for Constrained Problems
• Hermitian-preserving ansatz and variational open quantum eigensolver
• Symmetric Trotterization in digital quantum simulation of quantum spin dynamics
• Training iterated protocols for distillation of GHZ states with variational quantum algorithms
• Optimizing Radiotherapy Plans for Cancer Treatment with Tensor Networks
• Machine-Learning Insights into the Entanglement-trainability Correlation of Parameterized Quantum Circuits
• Critical Limitations in Quantum-Selected Configuration Interaction Methods
• Scalability Challenges in Variational Quantum Optimization under Stochastic Noise
• Optimization strategies in WAHTOR algorithm for quantum computing empirical ansatz: a comparative study
• Near-term quantum algorithm for computing molecular and materials properties based on recursive variational series methods
• Digital Quantum Simulation and Circuit Learning for the Generation of Coherent States
• Matrix product state ansatz for the variational quantum solution of the Heisenberg model on Kagome geometries
• Iteration Complexity of Variational Quantum Algorithms
• QSlack: A slack-variable approach for variational quantum semi-definite programming
• Quantum Natural Gradient with Geodesic Corrections for Small Shallow Quantum Circuits
• Trainable Discrete Feature Embeddings for Variational Quantum Classifier
• Scattering Quantum Random Walks on Square Grids and Randomly Generated Mazes
• Going Beyond Gadgets: The Importance of Scalability for Analogue Quantum Simulators
• Permutation-equivariant quantum convolutional neural networks
• Variational Quantum Simulation of Valence-Bond Solids
• Modeling Linear Inequality Constraints in Quadratic Binary Optimization for Variational Quantum Eigensolver
• Non-Iterative Disentangled Unitary Coupled-Cluster based on Lie-algebraic structure
• Sequence of penalties method to study excited states using VQE
• Hamiltonian-based graph-state ansatz for variational quantum algorithms
• Self-consistent Quantum Linear Response with a Polarizable Embedding environment
• A Method of Determining Excited-States for Quantum Computation
• Inverse iteration quantum eigensolvers assisted with a continuous variable
• Encoding-dependent generalization bounds for parametrized quantum circuits
• Cascaded variational quantum eigensolver algorithm
• Advantage of discrete variable representation in variational quantum eigensolvers for vibrational energy calculations
• Multireference error mitigation for quantum computation of chemistry
• Towards quantum simulation of spin systems using continuous variable quantum devices
• Computing Electronic Correlation Energies using Linear Depth Quantum Circuits
• Quantum annealer accelerates the variational quantum eigensolver in a triple-hybrid algorithm
• Quantum Advantage in Variational Bayes Inference
• Tangible reduction in learning sample complexity with large classical samples and small quantum system
• Noise-aware variational eigensolvers: a dissipative route for lattice gauge theories
• Composable Programming of Hybrid Workflows for Quantum Simulation
• Exploration of Quantum Computing in Materials Discovery for Direct Air Capture Applications
• Inductive Construction of Variational Quantum Circuit for Constrained Combinatorial Optimization
• Warm Start Adaptive-Bias Quantum Approximate Optimization Algorithm
• Practical techniques for high-precision measurements on near-term quantum hardware and applications in molecular energy estimation
• Quantum Computing in Pharma: A Multilayer Embedding Approach for Near Future Applications
• The Role of Quantum Computing in Advancing Scientific High-Performance Computing: A perspective from the ADAC Institute
• A Simple and Efficient Joint Measurement Strategy for Estimating Fermionic Observables and Hamiltonians
• Single entanglement connection architecture between multi-layer bipartite Hardware Efficient Ansatz
• Optimally Stopped Variational Quantum Algorithms
• Pitfalls when tackling the exponential concentration of parameterized quantum models
• Adaptive Random Quantum Eigensolver
• Boson sampling enhanced quantum chemistry
• A Novel Noise-Aware Classical Optimizer for Variational Quantum Algorithms
• Reducing measurement costs by recycling the Hessian in adaptive variational quantum algorithms
• Advancing Hybrid Quantum-Classical Algorithms via Mean-Operators
• Leveraging commuting groups for an efficient variational Hamiltonian ansatz
• Sequency Hierarchy Truncation (SeqHT) for Adiabatic State Preparation and Time Evolution in Quantum Simulations
• A Monte Carlo Tree Search approach to QAOA: finding a needle in the haystack
• Expanding variational quantum eigensolvers to larger systems by dividing the calculations between classical and quantum hardware
• Classical Benchmarks for Variational Quantum Eigensolver Simulations of the Hubbard Model
• Compact Multi-Threshold Quantum Information Driven Ansatz For Strongly Interactive Lattice Spin Models
• Spontaneous symmetry breaking in a $SO(3)$ non-Abelian lattice gauge theory in $2+1$D with quantum algorithms
• Experimental semi-autonomous eigensolver using reinforcement learning
• Multiqubit state learning with entangling quantum generative adversarial networks
• Optimal compression of constrained quantum time evolution
• Optimized numerical gradient and Hessian estimation for variational quantum algorithms
• Exploring nontrivial topology at quantum criticality in a superconducting processor
• Estimation of Quantum Fisher Information via Stein's Identity in Variational Quantum Algorithms
• An Amplitude-Based Implementation of the Unit Step Function on a Quantum Computer
• Quantum computation of a quasiparticle band structure with the quantum-selected configuration interaction
• Quantum-classical reinforcement learning for decoding noisy classical parity information
• Mitigating decoherence in molecular spin qudits
• Efficient parameterised compilation for hybrid quantum programming
• Almost fault-tolerant quantum machine learning with drastic overhead reduction
• Efficient Gaussian State Preparation in Quantum Circuits
• Utility of NISQ devices: optimizing experimental parameters for the fabrication of Au atomic junction using gate-based quantum computers
• Perturbative gadgets for gate-based quantum computing: Non-recursive constructions without subspace restrictions
• Efficient Quantum Simulation of Non-Adiabatic Molecular Dynamics with Precise Electronic Structure
• Reverse quantum annealing assisted by forward annealing
• Input Redundancy for Parameterized Quantum Circuits
• Basis set generation and optimization in the NISQ era with Quiqbox.jl
• Quantum Annealing Learning Search Implementations
• Software-Hardware Co-Optimization for Computational Chemistry on Superconducting Quantum Processors
• Gauged cooling of topological excitations and emergent fermions on quantum simulators
• Variational Microcanonical Estimator
• Quantum Feasibility Labeling for NP-complete Vertex Coloring Problem
• A Hybrid Quantum-Classical Paradigm to Mitigate Embedding Costs in Quantum Annealing---Abridged Version
• Efficient classical calculation of the Quantum Natural Gradient
• Estimating Eigenenergies from Quantum Dynamics: A Unified Noise-Resilient Measurement-Driven Approach
• Generic eigenstate preparation via measurement-based purification
• Variational post-selection for ground states and thermal states simulation
• Systematic many-fermion Hamiltonian input scheme and spectral calculations on quantum computers
• Quantum Technology for Military Applications
• Normalized Gradient Descent for Variational Quantum Algorithms
• Quantum many-body simulation of finite-temperature systems with sampling a series expansion of a quantum imaginary-time evolution
• Measuring Correlation and Entanglement between Molecular Orbitals on a Trapped-Ion Quantum Computer
• Simplified projection on total spin zero for state preparation on quantum computers
• Error Analysis of the Variational Quantum Eigensolver Algorithm
• Dissipative Preparation of Many-Body Spin Steady States Using Trapped Ultracold Atoms
• Locating quantum critical points with shallow quantum circuits
• The Accuracy vs. Sampling Overhead Trade-off in Quantum Error Mitigation Using Monte Carlo-Based Channel Inversion
• The impacts of optimization algorithm and basis size on the accuracy and efficiency of variational quantum eigensolver
• Stabilizer configuration interaction: Finding molecular subspaces with error detection properties
• Simulating the Fermi-Hubbard model with long-range hopping on a quantum computer
• Algorithm for initializing a generalized fermionic Gaussian state on a quantum computer
• Coupled-cluster pairing models for radicals with strong correlations
• Modified Conjugate Quantum Natural Gradient
• Regularizing quantum loss landscapes by noise injection
• Adaptive measurement strategy for quantum subspace methods
• Dead Gate Elimination
• State Specific Measurement Protocols for the Variational Quantum Eigensolver
• Determining the ability for universal quantum computing: Testing controllability via dimensional expressivity
• Heuristic Time Complexity of NISQ Shortest-Vector-Problem Solvers
• Quantum Alphatron: quantum advantage for learning with kernels and noise
• Universal Quantum Computer Simulation of 50 Qubits on Europe`s First Exascale Supercomputer Harnessing Its Heterogeneous CPU-GPU Architecture
• A Critical and Moving-Forward View on Quantum Image Processing
• Solving the Hubbard model using density matrix embedding theory and the variational quantum eigensolver
• Evolved Quantum Boltzmann Machines
• Energy levels estimation on a quantum computer by evolution of a physical quantity
• Graph Neural Networks for Parameterized Quantum Circuits Expressibility Estimation
• Hybrid Quantum Classical Graph Neural Networks for Particle Track Reconstruction
• NISQ algorithm for the matrix elements of a generic observable
• Quantum implicit representation of vortex filaments in turbulence
• Simulating methylamine using symmetry adapted qubit-excitation-based variational quantum eigensolver
• Defining Quantum Neural Networks via Quantum Time Evolution
• Quantum Approximation Optimization Algorithm for the Trellis based Viterbi Decoding of Classical Error Correcting Codes
• Non-unitary Coupled Cluster Enabled by Mid-circuit Measurements on Quantum Computers
• Ground state energy and magnetization curve of a frustrated magnetic system from real-time evolution on a digital quantum processor
• Context aware quantum simulation of a matrix stored in quantum memory
• Parameterized quantum comb and simpler circuits for reversing unknown qubit-unitary operations
• Variational quantum algorithm based on Lagrange polynomial encoding to solve differential equations
• Variational quantum cloning machine on an integrated photonic interferometer
• Escaping Local Minima with Quantum Coherent Cooling
• On the Differential Topology of Expressivity of Parameterized Quantum Circuits
• Transformation-free generation of a quasi-diabatic representation from the state-average orbital-optimized variational quantum eigensolver
• Practical limitations of quantum data propagation on noisy quantum processors
• Variational quantum compiling for three-qubit gates design in quantum dots
• Almost optimal measurement scheduling of molecular Hamiltonian via finite projective plane
• Extracting the spin excitation spectrum of a fermionic system using a quantum processor
• Demonstration of a variational quantum eigensolver with a solid-state spin system under ambient conditions
• Limitations of Quantum Hardware for Molecular Energy Estimation Using VQE
• Quantum Simulation of Molecules without Fermionic Encoding of the Wave Function
• Phase Estimation with Compressed Controlled Time Evolution
• Generative flow-based warm start of the variational quantum eigensolver
• Quantum natural gradient with thermal-state initialization
• A Noise-Aware Scalable Subspace Classical Optimizer for the Quantum Approximate Optimization Algorithm
• Quantum neural network autoencoder and classifier applied to an industrial case study
• Efficient Fermi-Hubbard model ground-state preparation by coupling to a classical reservoir in the instantaneous-response limit
• Dynamical transition in controllable quantum neural networks with large depth
• Qubit coupled cluster singles and doubles variational quantum eigensolver ansatz for electronic structure calculations
• Efficient Estimation and Sequential Optimization of Cost Functions in Variational Quantum Algorithms
• Orbital Expansion Variational Quantum Eigensolver: Enabling Efficient Simulation of Molecules with Shallow Quantum Circuit
• Quantum circuit and mapping algorithms for wavepacket dynamics: case study of anharmonic hydrogen bonds in protonated and hydroxide water clusters
• Robustness of optimized numerical estimation schemes for noisy variational quantum algorithms
• Vanishing performance of the parity-encoded quantum approximate optimization algorithm applied to spin-glass models
• Finding eigenvectors with a quantum variational algorithm
• Hybrid quantum gap estimation algorithm using a filtered time series
• Mitigating the measurement overhead of ADAPT-VQE with optimised informationally complete generalised measurements
• Quantum-data-driven dynamical transition in quantum learning
• Optimal Fermionic Joint Measurements for Estimating Non-Commuting Majorana Observables
• Batched Line Search Strategy for Navigating through Barren Plateaus in Quantum Circuit Training
• Estimating the degree of non-Markovianity using variational quantum circuits
• Efficient Large-Scale Quantum Optimization via Counterdiabatic Ansatz
• Unsupervised detection of decoupled subspaces: many-body scars and beyond
• Efficient trainability of linear optical modules in quantum optical neural networks
• Hybrid Quantum-Classical Eigensolver Without Variation or Parametric Gates
• OnionVQE Optimization Strategy for Ground State Preparation on NISQ Devices
• Efficient Decoding of Surface Code Syndromes for Error Correction in Quantum Computing
• H2ZIXY: Pauli spin matrix decomposition of real symmetric matrices
• Investigating Techniques to Optimise the Layout of Turbines in a Windfarm using a Quantum Computer
• Improving the Quantum Approximate Optimization Algorithm with postselection
• State preparation and evolution in quantum computing: a perspective from Hamiltonian moments
• Phase Analysis on the Error Scaling of Entangled Qubits in a 53-Qubit System
• Cheaper and more noise-resilient quantum state preparation using eigenvector continuation
• Maritime Just-in-time navigation with Quantum algorithms
• Robust preparation of ground state phases under noisy imaginary time evolution
• Making the cut: two methods for breaking down a quantum algorithm
• Variational simulation of higher-spin systems on qubit-based quantum simulators
• Parallelized Givens Ansatz for Molecular ground-states: Bridging Accuracy and Efficiency on NISQ Platforms
• Probabilistic imaginary-time evolution in state-vector-based and shot-based simulations and on quantum devices
• Hardware-efficient quantum annealing with error mitigation via classical shadow
• Hyperfine Coupling Constants on Quantum Computers: Performance, Errors, and Future Prospects
• Hamiltonian formulations of centroid-based clustering
• Reducing the sampling complexity of energy estimation in quantum many-body systems using empirical variance information
• Global optimization in variational quantum algorithms via dynamic tunneling method
• Dimensional Expressivity Analysis, best-approximation errors, and automated design of parametric quantum circuits
• Non-Markovian Noise in Symmetry-Preserving Quantum Dynamics
• Fast Bit-Flipping based on a Stability Transition of Coupled Spins
• Feasible Architecture for Quantum Fully Convolutional Networks
• Analog Quantum Approximate Optimization Algorithm
• iSwitch: QEC on Demand via In-Situ Encoding of Bare Qubits for Ion Trap Architectures
• Probabilistic imaginary-time evolution by using forward and backward real-time evolution with a single ancilla: first-quantized eigensolver of quantum chemistry for ground states
• Variational Quantum Algorithm for Solving the Liouvillian Gap
• Benchmarking Quantum Simulators
• Vertex Lattice Models Simulated with Quantum Circuits
• Compositional Quantum Control Flow with Efficient Compilation in Qunity
• Quantum Algorithms for Causal Estimands
• Utility-Scale Quantum State Preparation: Classical Training using Pauli Path Simulation
• Quantum Machine Learning for Climate Modelling
• Hamiltonian-reconstruction distance as a success metric for the Variational Quantum Eigensolver
• QuaSiMo: A Composable Library to Program Hybrid Workflows for Quantum Simulation
• Topological and geometric patterns in optimal bang-bang protocols for variational quantum algorithms: application to the $XXZ$ model on the square lattice
• Quantum Alternating Operator Ansatz for the Preparation and Detection of Long-Lived Singlet States in NMR
• Hamiltonian Expressibility for Ansatz Selection in Variational Quantum Algorithms
• Implementing Bilinear Interpolation on Quantum Images
• Velocity Verlet-based optimization for variational quantum eigensolvers
• Bethe ansatz on a quantum computer?
• Quantum-Classical Computing for Time-Dependent Ion-Atom Collision Dynamics: Applications to Charge Transfer Cross Section Simulations
• Distributed variational quantum computing with deterministic entanglement tuning
• A Quantum Interpretation of Bunched Logic for Quantum Separation Logic
• Role of overparametrization in quantum approximate optimization
• Variational Quantum Algorithms for Euclidean Discrepancy and Covariate-Balancing
• Inference of maximum parsimony phylogenetic trees with model-based classical and quantum methods
• Learning Variational Quantum Circuit Parameters with Classical Artificial Intelligence for Quantum Phase Transition Detection
• Quantum solver for single-impurity Anderson models with particle-hole symmetry
• Constrained free energy minimization for the design of thermal states and stabilizer thermodynamic systems
• Optimizing Quantum Variational Circuits with Deep Reinforcement Learning
• Effective non-local parity-dependent couplings in qubit chains
• Simplifying errors by symmetry and randomisation
• Variational Quantum Subspace Construction via Symmetry-Preserving Cost Functions
• The Effect of Noise on the Performance of Variational Algorithms for Quantum Chemistry
• Zero-Noise Extrapolation via Cyclic Permutations of Quantum Circuit Layouts
• Quantum Computation
• Many-Fermion Simulation from the Contracted Quantum Eigensolver without Fermionic Encoding of the Wave Function
• Exploring fixed points and eigenstates of quantum systems with reinforcement learning
• Robust phase estimation of the ground-state energy without controlled time evolution on a quantum device
• Quantum Algorithm for a Convergent Series of Approximations towards the Exact Solution of the Lowest Eigenstates of a Hamiltonian
• Pseudo quantum advantages in perceptron storage capacity
• Variational Quantum Generative Modeling by Sampling Expectation Values of Tunable Observables
• Towards a NISQ Algorithm to Simulate Hermitian Matrix Exponentiation
• A variational quantum eigensolver tailored to multi-band tight-binding simulations of electronic structures
• Construction of Entangled Many-body States via the Higgs Mechanism
• Efficiently preparing chiral states via fermionic cooling on bosonic quantum hardware
• Toward Density Functional Theory on Quantum Computers?
• Investigating layer-selective transfer learning of QAOA parameters for Max-Cut problem
• Pulse engineering via projection of response functions
• Molecular resonance identification in complex absorbing potentials via integrated quantum computing and high-throughput computing
• Degeneracy Engineering for Classical and Quantum Annealing: A Case Study of Sparse Linear Regression in Collider Physics
• Clustering and enhanced classification using a hybrid quantum autoencoder
• Resource-efficient encoding algorithm for variational bosonic quantum simulations
• Quantum Computing Solution of the Bethe-Salpeter Equation for Relativistic Scalar Bound States via Tensor-Network VQE
• An unsupervised feature learning for quantum-classical convolutional network with applications to fault detection
• Accelerating Fermionic System Simulation on Quantum Computers
• A Quantum Convolutional Neural Network for Image Classification
• On Assessing the Quantum Advantage for MaxCut Provided by Quantum Neural Network Ansätze