Variational ansatz-based quantum simulation of imaginary time evolution

Abstract

Imaginary time evolution is a powerful tool for studying quantum systems. While it is possible to simulate with a classical computer, the time and memory requirements generally scale exponentially with the system size. Conversely, quantum computers can efficiently simulate quantum systems, but not non-unitary imaginary time evolution. We propose a variational algorithm for simulating imaginary time evolution on a hybrid quantum computer. We use this algorithm to find the ground-state energy of many-particle systems; specifically molecular hydrogen and lithium hydride, finding the ground state with high probability. Our method can also be applied to general optimisation problems and quantum machine learning. As our algorithm is hybrid, suitable for error mitigation and can exploit shallow quantum circuits, it can be implemented with current quantum computers.

arXiv comment14 pages

References in corpus (29)

• Quantum Computing in the NISQ era and beyond
• Theory of Bose-Einstein condensation in trapped gases
• A variational eigenvalue solver on a quantum processor
• Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
• Quantum Simulation
• The theory of variational hybrid quantum-classical algorithms
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Error mitigation for short-depth quantum circuits
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Time-dependent variational principle for quantum lattices
• Simulation of Many-Body Fermi Systems on a Universal Quantum Computer
• Towards Practical Quantum Variational Algorithms
• Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
• Quantum Metropolis Sampling
• Quantum Implementation of Unitary Coupled Cluster for Simulating Molecular Electronic Structure
• Quantum simulation of time-dependent Hamiltonians and the convenient illusion of Hilbert space
• Error-mitigated digital quantum simulation
• Thermalization in Nature and on a Quantum Computer
• Experimental Bayesian Quantum Phase Estimation on a Silicon Photonic Chip
• Quantum Simulation of Helium Hydride in a Solid-State Spin Register
• Variational Study of Fermionic and Bosonic Systems with Non-Gaussian States: Theory and Applications
• Auxiliary-field quantum Monte Carlo calculations of molecular systems with a Gaussian basis
• Generalized Hartree-Fock Theory for Interacting Fermions in Lattices: Numerical Methods
• Sliced Basis Density Matrix Renormalization Group for Electronic Structure
• Variational principle for quantum impurity systems in and out of equilibrium: application to Kondo problems
• Feynman's clock, a new variational principle, and parallel-in-time quantum dynamics
• Compact wavefunctions from compressed imaginary time evolution
• Clock Quantum Monte Carlo: an imaginary-time method for real-time quantum dynamics
• Quantropy

Cited by in corpus (349)

• Variational Quantum Algorithms
• Noisy intermediate-scale quantum (NISQ) algorithms
• Quantum computational chemistry
• Quantum Chemistry in the Age of Quantum Computing
• The Variational Quantum Eigensolver: a review of methods and best practices
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Quantum algorithms for quantum chemistry and quantum materials science
• Challenges and Opportunities in Quantum Machine Learning
• Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution
• Hybrid quantum-classical algorithms and quantum error mitigation
• Quantum Natural Gradient
• Variational Quantum Computation of Excited States
• Theory of variational quantum simulation
• Variational quantum algorithms for nonlinear problems
• General parameter-shift rules for quantum gradients
• Quantum computing for finance
• Variational quantum simulation of general processes
• Diagnosing Barren Plateaus with Tools from Quantum Optimal Control
• Unbiasing Fermionic Quantum Monte Carlo with a Quantum Computer
• The prospects of quantum computing in computational molecular biology
• Quantum Computing for High-Energy Physics: State of the Art and Challenges. Summary of the QC4HEP Working Group
• Solving nonlinear differential equations with differentiable quantum circuits
• Emerging quantum computing algorithms for quantum chemistry
• Challenges and Opportunities in Quantum Optimization
• Variational algorithms for linear algebra
• Standard Model Physics and the Digital Quantum Revolution: Thoughts about the Interface
• Model-free readout-error mitigation for quantum expectation values
• Theory of overparametrization in quantum neural networks
• Digital quantum simulation of open quantum systems using quantum imaginary time evolution
• Estimating the gradient and higher-order derivatives on quantum hardware
• Avoiding local minima in variational quantum eigensolvers with the natural gradient optimizer
• Variational Quantum State Eigensolver
• Variational Thermal Quantum Simulation via Thermofield Double States
• Quantum Simulating Nature's Fundamental Fields
• Capacity and quantum geometry of parametrized quantum circuits
• Quantum Simulation of Open Quantum Systems Using a Unitary Decomposition of Operators
• Adaptive Variational Quantum Dynamics Simulations
• An Adaptive Optimizer for Measurement-Frugal Variational Algorithms
• Low-depth gradient measurements can improve convergence in variational hybrid quantum-classical algorithms
• Quantum Solver of Contracted Eigenvalue Equations for Scalable Molecular Simulations on Quantum Computing Devices
• Quantum Computation of Finite-Temperature Static and Dynamical Properties of Spin Systems Using Quantum Imaginary Time Evolution
• Quantum Simulation of Quantum Field Theory in the Light-Front Formulation
• A Threshold for Quantum Advantage in Derivative Pricing
• Quantum Power Method by a Superposition of Time-Evolved States
• Simultaneous Perturbation Stochastic Approximation of the Quantum Fisher Information
• Variational Quantum Boltzmann Machines
• Variational Quantum Algorithms for Computational Fluid Dynamics
• Neural Predictor based Quantum Architecture Search
• Quantum Computing for Molecular Biology
• A comprehensive review of Quantum Machine Learning: from NISQ to Fault Tolerance
• Adaptive Variational Quantum Imaginary Time Evolution Approach for Ground State Preparation
• Calculation of the Green's function on near-term quantum computers
• Quantum simulation of partial differential equations via Schrodingerisation: technical details
• Symmetry-adapted variational quantum eigensolver
• A case study of variational quantum algorithms for a job shop scheduling problem
• Simulating Quantum Materials with Digital Quantum Computers
• Quantum simulation with hybrid tensor networks
• Error mitigation for universal gates on encoded qubits
• Implementation of quantum imaginary-time evolution method on NISQ devices: Nonlocal approximation
• Quantum Assisted Simulator
• Efficient step-merged quantum imaginary time evolution algorithm for quantum chemistry
• A state-averaged orbital-optimized hybrid quantum-classical algorithm for a democratic description of ground and excited states
• Computational Investigations of the Lithium Superoxide Dimer Rearrangement on Noisy Quantum Devices
• Toward Practical Quantum Embedding Simulation of Realistic Chemical Systems on Near-term Quantum Computers
• Scaling of variational quantum circuit depth for condensed matter systems
• Improved thermal area law and quasi-linear time algorithm for quantum Gibbs states
• Variational Quantum-Neural Hybrid Eigensolver
• Measurement cost of metric-aware variational quantum algorithms
• Quantum inverse iteration algorithm for programmable quantum simulators
• Subspace Variational Quantum Simulator
• Robust quantum compilation and circuit optimisation via energy minimisation
• Toward Quantum Computing Phase Diagrams of Gauge Theories with Thermal Pure Quantum States
• Overlapped grouping measurement: A unified framework for measuring quantum states
• Near- and long-term quantum algorithmic approaches for vibrational spectroscopy
• Quantum Analytic Descent
• Simulating Hadronic Physics on NISQ devices using Basis Light-Front Quantization
• Quantum Imaginary Time Evolution Algorithm for Quantum Field Theories with Continuous Variables
• Variational quantum simulations of stochastic differential equations
• Quantum simulation of quantum field theories as quantum chemistry
• Can Error Mitigation Improve Trainability of Noisy Variational Quantum Algorithms?
• Quantum Machine Learning in Drug Discovery: Applications in Academia and Pharmaceutical Industries
• Imaginary Time Propagation on a Quantum Chip
• Probabilistic Nonunitary Gate in Imaginary Time Evolution
• QuESTlink -- Mathematica embiggened by a hardware-optimised quantum emulator
• Construction of Green's functions on a quantum computer: applications to molecular systems
• A variational quantum eigensolver for dynamic correlation functions
• Quantum autoencoders with enhanced data encoding
• Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer
• Gutzwiller Hybrid Quantum-Classical Computing Approach for Correlated Materials
• Symmetry enhanced variational quantum spin eigensolver
• Computation of molecular excited states on IBM quantum computers using a discriminative variational quantum eigensolver
• Quantum Phase Recognition via Quantum Kernel Methods
• Quantum Simulation of Chiral Phase Transitions
• Sub-system quantum dynamics using coupled cluster downfolding techniques
• High-fidelity realization of the AKLT state on a NISQ-era quantum processor
• The Efficient Preparation of Normal Distributions in Quantum Registers
• Quantum computed moments correction to variational estimates
• Quantum digital cooling
• Simulating Chemistry on Bosonic Quantum Devices
• Variational Quantum Evolution Equation Solver
• A variational quantum algorithm for the Feynman-Kac formula
• Quantum utility -- definition and assessment of a practical quantum advantage
• A Neural-Network Variational Quantum Algorithm for Many-Body Dynamics
• Accelerated quantum Monte Carlo with mitigated error on noisy quantum computer
• Generalized Quantum Assisted Simulator
• Scattering in the Ising Model Using Quantum Lanczos Algorithm
• Hybrid quantum-classical algorithm for computing imaginary-time correlation functions
• Improved algorithms of quantum imaginary time evolution for ground and excited states of molecular systems
• Operator Sampling for Shot-frugal Optimization in Variational Algorithms
• Variational quantum simulation of U(1) lattice gauge theories with qudit systems
• Quantum imaginary time evolution steered by reinforcement learning
• Hardware-efficient quantum algorithm for the simulation of open-system dynamics and thermalisation
• Improving the Accuracy of the Variational Quantum Eigensolver for Molecular Systems by the Explicitly-Correlated Perturbative [2]-R12-Correction
• Variational Quantum Time Evolution without the Quantum Geometric Tensor
• Hamiltonian operator approximation for energy measurement and ground state preparation
• Training variational quantum circuits with CoVaR: covariance root finding with classical shadows
• Contextual Subspace Variational Quantum Eigensolver
• Variational quantum simulation: a case study for understanding warm starts
• Improving the variational quantum eigensolver using variational adiabatic quantum computing
• An application benchmark for fermionic quantum simulations
• Preparing Valence-Bond-Solid states on noisy intermediate-scale quantum computers
• Quantum simulations employing connected moments expansions
• Error Bounds for Variational Quantum Time Evolution
• Accelerated variational algorithms for digital quantum simulation of many-body ground states
• Error-resilient Monte Carlo quantum simulation of imaginary time
• Selected topics of quantum computing for nuclear physics
• Simulating Time Evolution with Fully Optimized Single-Qubit Gates on Parameterized Quantum Circuits
• Quantum-Selected Configuration Interaction: classical diagonalization of Hamiltonians in subspaces selected by quantum computers
• Boltzmann machine learning with a variational quantum algorithm
• Fragmented imaginary-time evolution for early-stage quantum signal processors
• Quantum computing critical exponents
• Adaptive variational simulation for open quantum systems
• Nearly-optimal state preparation for quantum simulations of lattice gauge theories
• Efficient calculation of gradients in classical simulations of variational quantum algorithms
• Quantum Fourier analysis for multivariate functions and applications to a class of Schrödinger-type partial differential equations
• Provable bounds for noise-free expectation values computed from noisy samples
• Collective optimization for variational quantum eigensolvers
• Quantum algorithms for grid-based variational time evolution
• The Basics of Quantum Computing for Chemists
• Variational quantum algorithm for unconstrained black box binary optimization: Application to feature selection
• Wave function methods for canonical ensemble thermal averages in correlated many-fermion systems
• Preparing quantum many-body scar states on quantum computers
• Adaptive variational quantum minimally entangled typical thermal states for finite temperature simulations
• Comparative study of adaptive variational quantum eigensolvers for multi-orbital impurity models
• Low-depth Hamiltonian Simulation by Adaptive Product Formula
• Towards a variational Jordan-Lee-Preskill quantum algorithm
• Limitations of optimization algorithms on noisy quantum devices
• Sampling, rates, and reaction currents through reverse stochastic quantization on quantum computers
• Simulating Non-Markovian Quantum Dynamics on NISQ Computers Using the Hierarchical Equations of Motion
• Paired electron motion in interacting chains of quantum dots
• Variational Quantum Simulation of Partial Differential Equations: Applications in Colloidal Transport
• Quantum Simulations of SO(5) Many-Fermion Systems using Qudits
• Efficient quantum imaginary time evolution by drifting real time evolution: an approach with low gate and measurement complexity
• Simulating strongly interacting Hubbard chains with the Variational Hamiltonian Ansatz on a quantum computer
• State Preparation Boosters for Early Fault-Tolerant Quantum Computation
• Exact Ansatz of Fermion-Boson Systems for a Quantum Device
• Extending the Variational Quantum Eigensolver to Finite Temperatures
• Mitigating algorithmic errors in quantum optimization through energy extrapolation
• Accelerated variational quantum eigensolver with joint Bell measurement
• GSQAS: Graph Self-supervised Quantum Architecture Search
• Connecting geometry and performance of two-qubit parameterized quantum circuits
• Simulating noisy variational quantum eigensolver with local noise models
• Digital Quantum Simulation of the Spin-Boson Model under Open System Dynamics
• Imaginary time evolution with quantum nondemolition measurements: multi-qubit interactions via measurement nonlinearities
• Variational quantum solver employing the PDS energy functional
• Confirming the role of nuclear tunnelling in aqueous ferrous-ferric electron transfer
• Gutzwiller wave function on a digital quantum computer
• Variational quantum Gibbs state preparation with a truncated Taylor series
• Rapid quantum ground state preparation via dissipative dynamics
• Discretized quantum adiabatic process for free fermions and comparison with the imaginary-time evolution
• A variational quantum algorithm for Hamiltonian diagonalization
• Quantum Algorithms for Open Lattice Field Theory
• Measurement optimization of variational quantum simulation by classical shadow and derandomization
• Quantum Circuit Evolution on NISQ Devices
• Quantum-classical algorithms for skewed linear systems with optimized Hadamard test
• Optimal scheduling in probabilistic imaginary-time evolution on a quantum computer
• Optimization schemes for unitary tensor-network circuit
• Multiobjective variational quantum optimization for constrained problems: an application to Cash Management
• Dynamical mean-field theory for the Hubbard-Holstein model on a quantum device
• Leveraging Randomized Compiling for the QITE Algorithm
• 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
• Quantum gradient descent algorithms for nonequilibrium steady states and linear algebraic systems
• Thermal variational quantum simulation on a superconducting quantum processor
• A quantum-classical co-processing protocol towards simulating nuclear reactions on contemporary quantum hardware
• Tensor-network-assisted variational quantum algorithm
• Critical behavior of Ising model by preparing thermal state on quantum computer
• Hybrid quantum-classical algorithms for solving quantum chemistry in Hamiltonian-wavefunction space
• Exhaustive search for optimal molecular geometries using imaginary-time evolution on a quantum computer
• Variational quantum iterative power algorithms for global optimization
• Algorithmic Shadow Spectroscopy
• Variational Quantum Algorithms for Steady States of Open Quantum Systems
• Optimizing Variational Quantum Algorithms with qBang: Efficiently Interweaving Metric and Momentum to Navigate Flat Energy Landscapes
• Real-time chiral dynamics at finite temperature from quantum simulation
• Molecular Structure Optimization based on Electrons-Nuclei Quantum Dynamics Computation
• Expressivity of Variational Quantum Machine Learning on the Boolean Cube
• Incoherent quantum algorithm dynamics of an open system with near-term devices
• Natural orbitals and sparsity of quantum mutual information
• Dissipative variational quantum algorithms for Gibbs state preparation
• A backend-agnostic, quantum-classical framework for simulations of chemistry in C++
• Fermionic wave packet scattering: a quantum computing approach
• Energy-dependent barren plateau in bosonic variational quantum circuits
• Quantum subspace expansion in the presence of hardware noise
• Exploring ab initio machine synthesis of quantum circuits
• Unified multivariate trace estimation and quantum error mitigation
• Towards Efficient Quantum Computing for Quantum Chemistry: Reducing Circuit Complexity with Transcorrelated and Adaptive Ansatz Techniques
• Mapping renormalized coupled cluster methods to quantum computers through a compact unitary representation of non-unitary operators
• Improved iterative quantum algorithm for ground-state preparation
• TFermion: A non-Clifford gate cost assessment library of quantum phase estimation algorithms for quantum chemistry
• Quantum Computed Green's Functions using a Cumulant Expansion of the Lanczos Method
• Qsun: an open-source platform towards practical quantum machine learning applications
• Accelerating quantum imaginary-time evolution with random measurements
• Hamiltonian learning from time dynamics using variational algorithms
• Exploring the neighborhood of 1-layer QAOA with Instantaneous Quantum Polynomial circuits
• Stabilizer ground states for simulating quantum many-body physics: theory, algorithms, and applications
• Generalising quantum imaginary time evolution to solve linear partial differential equations
• Variational quantum computing for quantum simulation: principles, implementations, and challenges
• Universal imaginary-time critical dynamics on a quantum computer
• Efficient solution of the non-unitary time-dependent Schrodinger equation on a quantum computer with complex absorbing potential
• Coupled cluster method tailored with quantum computing
• Estimating Gibbs partition function with quantumClifford sampling
• Understanding and mitigating noise in molecular quantum linear response for spectroscopic properties on quantum computers
• Convergence and Quantum Advantage of Trotterized MERA for Strongly-Correlated Systems
• Stochastic Approximation of Variational Quantum Imaginary Time Evolution
• Unleashed from Constrained Optimization: Quantum Computing for Quantum Chemistry Employing Generator Coordinate Inspired Method
• Gradients and frequency profiles of quantum re-uploading models
• Double-bracket quantum algorithms for quantum imaginary-time evolution
• Two-dimensional coherent spectrum of high-spin models via a quantum computing approach
• Practical quantum simulation of small-scale non-Hermitian dynamics
• Variational Phase Estimation with Variational Fast Forwarding
• Quantum Dynamics Simulation of the Advection-Diffusion Equation
• Imaginary-time Mpemba effect in quantum many-body systems
• Adaptive variational quantum dynamics simulations with compressed circuits and fewer measurements
• Subspace-Search Quantum Imaginary Time Evolution for Excited State Computations
• Quantum computation in fermionic thermal field theories
• The topology of data hides in quantum thermal states
• Maximising Quantum-Computing Expressive Power through Randomised Circuits
• Random Natural Gradient
• Adaptive variational ground state preparation for spin-1 models on qubit-based architectures
• Problem-tailored Simulation of Energy Transport on Noisy Quantum Computers
• Determination of Molecular Energies via Quantum Imaginary Time Evolution in a Superconducting Qubit System
• Variational quantum simulation of long-range interacting systems
• Toward a quantum computing algorithm to quantify classical and quantum correlation of system states
• Toward Reliability in the NISQ Era: Robust Interval Guarantee for Quantum Measurements on Approximate States
• 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
• Calculation of Gibbs partition function with imaginary time evolution on near-term quantum computers
• Computing n-time correlation functions without ancilla qubits
• Kernel-Function Based Quantum Algorithms for Finite Temperature Quantum Simulation
• Improved resource-tunable near-term quantum algorithms for transition probabilities, with applications in physics and variational quantum linear algebra
• On Quantum Circuits for Discrete Graphical Models
• Thermal Area Law for Lattice Bosons
• Universal noise-precision relations in variational quantum algorithms
• Using the inductive-energy participation ratio to characterize a superconducting quantum chip
• Exact block encoding of imaginary time evolution with universal quantum neural networks
• Exploring the topological sector optimization on quantum computers
• Optimization strategies in WAHTOR algorithm for quantum computing empirical ansatz: a comparative study
• Imaginary Hamiltonian variational ansatz for combinatorial optimization problems
• Exploiting subspace constraints and ab initio variational methods for quantum chemistry
• Simulating the non-Hermitian dynamics of financial option pricing with quantum computers
• Noise-aware variational eigensolvers: a dissipative route for lattice gauge theories
• Calculation of the moscovium ground-state energy by quantum algorithms
• Encoded probabilistic imaginary-time evolution on a trapped-ion quantum computer for ground and excited states of spin qubits
• Observation of Braid-Protected Unpaired Exceptional Points
• Multireference error mitigation for quantum computation of chemistry
• Resource-efficient Generalized Quantum Subspace Expansion
• Evaluating thermal expectation values by almost ideal sampling with Trotter gates
• Quantum Feasibility Labeling for NP-complete Vertex Coloring Problem
• Parent Hamiltonian as a benchmark problem for variational quantum eigensolvers
• Efficient preparation of the AKLT State with Measurement-based Imaginary Time Evolution
• Hamiltonian Forging of a Thermofield Double
• Comparative study on compact quantum circuits of hybrid quantum-classical algorithms for quantum impurity models
• Simulating electronic structure on bosonic quantum computers
• MLQM: Machine Learning Approach for Accelerating Optimal Qubit Mapping
• Estimation of Quantum Fisher Information via Stein's Identity in Variational Quantum Algorithms
• Towards robust variational quantum simulation of Lindblad dynamics via stochastic Magnus expansion
• Variational Quantum Imaginary Time Evolution for Matrix Product State Ansatz with Tests on Transcorrelated Hamiltonians
• Efficient classical calculation of the Quantum Natural Gradient
• Stabilizer configuration interaction: Finding molecular subspaces with error detection properties
• Quantum Simulation of Molecules without Fermionic Encoding of the Wave Function
• Tangent Space Excitation Ansatz for Quantum Circuits
• Exponential distillation of dominant eigenproperties
• Performance and scaling analysis of variational quantum simulation
• Scalable Quantum Computational Science: A Perspective from Block-Encodings and Polynomial Transformations
• Practical limitations of quantum data propagation on noisy quantum processors
• Adaptive sampling-based optimization of quantics tensor trains for noisy functions: applications to quantum simulations
• Demonstration of a variational quantum eigensolver with a solid-state spin system under ambient conditions
• Asymptotic Exceptional Steady States in Dissipative Dynamics
• Approximate real-time evolution operator for potential with one ancillary qubit and application to first-quantized Hamiltonian simulation
• Multi-set variational quantum dynamics algorithm for simulating nonadiabatic dynamics on quantum computers
• Quantum Computing Beyond Ground State Electronic Structure: A Review of Progress Toward Quantum Chemistry Out of the Ground State
• A recipe for local simulation of strongly-correlated fermionic matter on quantum computers: the 2D Fermi-Hubbard model
• Escaping Local Minima with Quantum Coherent Cooling
• Simulating Quantum Turbulence with Matrix Product States
• Quantum many-body simulation of finite-temperature systems with sampling a series expansion of a quantum imaginary-time evolution
• Quantum Software Ecosystem Design
• State preparation and evolution in quantum computing: a perspective from Hamiltonian moments
• Variational simulation of higher-spin systems on qubit-based quantum simulators
• Robust preparation of ground state phases under noisy imaginary time evolution
• Variational Quantum Algorithms for Gibbs State Preparation
• Warm Start of Variational Quantum Algorithms for Quadratic Unconstrained Binary Optimization Problems
• OnionVQE Optimization Strategy for Ground State Preparation on NISQ Devices
• Hybrid Quantum-Classical Eigensolver Without Variation or Parametric Gates
• Quantum algorithms for optimal effective theory of many-body systems
• Dissipative ground state preparation in ab initio electronic structure theory
• Classical optimization with imaginary time block encoding on quantum computers: The MaxCut problem
• Divergence-free algorithms for solving nonlinear differential equations on quantum computers
• Quantum natural gradient with thermal-state initialization
• Probabilistic imaginary-time evolution in state-vector-based and shot-based simulations and on quantum devices
• Role of Riemannian geometry in double-bracket quantum imaginary-time evolution
• Beyond asymptotic reasoning: the practicalities of a quantum ground state projector based on the wall-Chebyshev expansion
• Stochastic Schrödinger Equations for Quantum Reverse Diffusion
• Gibbs state sampling via cluster expansions
• Exponential Separation Criteria for Quantum Iterative Power Algorithms
• Constrained Search in Imaginary Time
• Quantum simulation of massive Thirring and Gross--Neveu models for arbitrary number of flavors
• Fast suppression of classification error in variational quantum circuits
• 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
• Velocity Verlet-based optimization for variational quantum eigensolvers
• Preparing the Gutzwiller wave function for attractive SU(3) fermions on a quantum computer
• Spectral quantum algorithm for passive scalar transport in shear flows
• Error and Resource Estimates of Variational Quantum Algorithms for Solving Differential Equations Based on Runge-Kutta Methods
• Variational Quantum Subspace Construction via Symmetry-Preserving Cost Functions
• Accelerated spin-adapted ground state preparation with non-variational quantum algorithms
• Surrogate Modeling via Factorization Machine and Ising Model with Enhanced Higher-Order Interaction Learning
• Quantum imaginary time evolution and UD-MIS problem
• Sampling (noisy) quantum circuits through randomized rounding
• Quantum Imaginary-Time Evolution with Polynomial Resources in Evolution Time
• Quantum Simulation of Two-Level $PT$-Symmetric Systems Using Hermitian Hamiltonians
• Qudit-native measurement protocol for dynamical correlations using Hadamard tests
• Extended parameter shift rules with minimal derivative variance for parameterized quantum circuits
• Imaginary Time Spectral Transforms for Excited State Preparation
• A penalty-free quantum algorithm to find energy eigenstates
• Double-bracket quantum algorithms for high-fidelity ground state preparation
• Solving Sharp Bounded-error Quantum Polynomial Time Problem by Evolution methods
• Quasi-adiabatic thermal ensemble preparation in the thermodynamic limit
• Adaptive time Compressed QITE (ACQ) and its geometrical interpretation
• Hybrid Quantum-Classical Clustering for Preparing a Prior Distribution of Eigenspectrum
• Variational quantum simulation of the quantum critical regime
• Resource-Efficient Quantum Optimization via Higher-Order Encoding
• The Virtual Quantum Device (VQD): A tool for detailed emulation of quantum computers
• Variational Quantum Simulation of Chemical Dynamics with Quantum Computers
• Quantum-Enhanced Neural Exchange-Correlation Functionals
• A loop Quantum Approximate Optimization Algorithm with Hamiltonian updating
• Quantum Computation
• Interpolation-based coordinate descent method for parameterized quantum circuits
• A Quantum Constraint Generation Framework for Binary Linear Programs
• Performance evaluation of variational quantum eigensolver and quantum dynamics algorithms on the advection-diffusion equation