Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution

Simulating physics with computers

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The density-matrix renormalization group in the age of matrix product states

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A variational eigenvalue solver on a photonic quantum processor

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Barren plateaus in quantum neural network training landscapes

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A practical introduction to tensor networks: Matrix product states and projected entangled pair states

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The theory of variational hybrid quantum-classical algorithms

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Hybrid quantum simulations with qubits and qumodes on trapped-ion platforms

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Dissipative Variational Quantum Algorithms for Gibbs State Preparation

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Quantum simulation of boson-related Hamiltonians: techniques, effective Hamiltonian construction, and error analysis

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Emergent hydrodynamic mode on SU(2) plaquette chains and quantum simulation

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Quantum algorithms for open lattice field theory

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Simulating a ring-like Hubbard system with a quantum computer

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A Backend-agnostic, Quantum-classical Framework for Simulations of Chemistry in C ++

Claudino, D., McCaskey, A., & Lyakh, D. I. (2022) · ACM Transactions on Quantum Computing · doi:10.1145/3523285 · Cited by 15

Quantum Simulation Using Noisy Unitary Circuits and Measurements

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Exact Non-Markovian Quantum Dynamics on the NISQ Device Using Kraus Operators

Seneviratne, A., Walters, P., & Wang, F. (2024) · ACS Omega · doi:10.1021/acsomega.3c09720 · Cited by 13

Calculating the many-body density of states on a digital quantum computer

Summer, A., Chiaracane, C., Mitchison, M. T., & Goold, J. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.013106 · Cited by 17

Imaginary-Time Mpemba Effect in Quantum Many-Body Systems

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Dissipative ground state preparation in ab initio electronic structure theory

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Early Fault-Tolerant Quantum Algorithms in Practice: Application to Ground-State Energy Estimation

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Double-Bracket Quantum Algorithms for Quantum Imaginary-Time Evolution

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Measurement-based quantum simulation of Abelian lattice gauge theories

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Linear-Scaling Quantum Circuits for Computational Chemistry

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Variational quantum algorithm for node embedding

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Robust Extraction of Thermal Observables from State Sampling and Real-Time Dynamics on Quantum Computers

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Implementation of the Projective Quantum Eigensolver on a Quantum Computer

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Many-Body Excited States with a Contracted Quantum Eigensolver

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Alleviating the quantum Big-M problem

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Quantum subspace expansion in the presence of hardware noise

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Unleashed from constrained optimization: quantum computing for quantum chemistry employing generator coordinate inspired method

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Simulating Electronic Structure on Bosonic Quantum Computers

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Sign-problem free quantum stochastic series expansion algorithm on a quantum computer

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Fast-forwarding quantum simulation with real-time quantum Krylov subspace algorithms

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Machine learning aided dimensionality reduction toward a resource efficient projective quantum eigensolver: Formal development and pilot applications

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Fermionic Reduced Density Low-Rank Matrix Completion, Noise Filtering, and Measurement Reduction in Quantum Simulations

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Towards efficient quantum computing for quantum chemistry: reducing circuit complexity with transcorrelated and adaptive ansatz techniques

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Deep quantum circuit simulations of low-energy nuclear states

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Simulating non-completely positive actions via exponentiation of Hermitian-preserving maps

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Convergence and Quantum Advantage of Trotterized MERA for Strongly-Correlated Systems

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Estimating Eigenenergies from Quantum Dynamics: A Unified Noise-Resilient Measurement-Driven Approach

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Encoding strongly-correlated many-boson wavefunctions on a photonic quantum computer: application to the attractive Bose-Hubbard model

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Energy levels estimation on a quantum computer by evolution of a physical quantity

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Purity of thermal mixed quantum states

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First-quantized eigensolver for ground and excited states of electrons under a uniform magnetic field

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Unitary Coupled Cluster: Seizing the Quantum Moment

Magoulas, I., & Evangelista, F. A. (2023) · The Journal of Physical Chemistry A · doi:10.1021/acs.jpca.3c02781 · Cited by 12

Cooling with imaginary time

Love, P. J. (2019) · Nature Physics · doi:10.1038/s41567-019-0709-z · Cited by 10

Research advancements in quantum computing digital twins

Saini, K., Singh, A., Ahuja, A., Arora, N., & Saini, R. (2024) · Elsevier eBooks · doi:10.1016/b978-0-443-28884-5.00002-6 · Cited by 9

Accelerating quantum imaginary-time evolution with random measurements

Kolotouros, I., Joseph, D., & Narayanan, A. K. (2025) · Physical Review A · doi:10.1103/physreva.111.012424 · Cited by 13

Universal quantum control by non-Hermitian Hamiltonian

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Entropy computing, a paradigm for optimization in open photonic systems

Nguyen, L., Miri, M., Rupert, R. J., Dyk, W., Wu, S. B., Vrahoretis, N., Huang, I., Begliarbekov, M., Chancellor, N., Chukwu, U., et al. (2025) · Communications Physics · doi:10.1038/s42005-025-02324-6 · Cited by 17

Composite Qdrift-product formulas for quantum and classical simulations in real and imaginary time

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Combinatorial optimization with quantum imaginary time evolution

Bauer, N. M., Alam, R., Siopsis, G., & Ostrowski, J. (2024) · Physical Review A · doi:10.1103/physreva.109.052430 · Cited by 9

Quantum Computation of Conical Intersections on a Programmable Superconducting Quantum Processor

Zhao, S., Tang, D., Xiao, X., Wang, R., Sun, Q., Chen, Z., Cai, X., Li, Z., Yu, H., & Fang, W. (2024) · The Journal of Physical Chemistry Letters · doi:10.1021/acs.jpclett.4c01314 · Cited by 11

Exponential qubit reduction in optimization for financial transaction settlement

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Understanding and mitigating noise in molecular quantum linear response for spectroscopic properties on quantum computers

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Gibbs Sampling gives Quantum Advantage at Constant Temperatures with O(1)-Local Hamiltonians

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Efficient strategies for reducing sampling error in quantum Krylov subspace diagonalization

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Solving lattice gauge theories using the quantum Krylov algorithm and qubitization

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Dynamical mean field theory for real materials on a quantum computer

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Reducing unitary coupled cluster circuit depth by classical stochastic amplitude prescreening

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Improved Iterative Quantum Algorithm for Ground‐State Preparation

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Mapping renormalized coupled cluster methods to quantum computers through a compact unitary representation of nonunitary operators

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Recent progress of quantum simulation of non-Hermitian systems

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A hybrid quantum-classical method for electron-phonon systems

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Sample-efficient learning of quantum many-body systems

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Catterall, S. M., Harnik, R., Hubeny, V. E., Bauer, C., Berlin, A., Davoudi, Z., Faulkner, T., Hartman, T., Headrick, M., Kahn, Y. F., et al. (1900) · doi:10.2172/1892238 · Cited by 9

Ground-state-energy calculation for the water molecule on a superconducting quantum processor

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Observation of Braid-Protected Unpaired Exceptional Points

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Variational Quantum Computing for Quantum Simulation: Principles, Implementations, and Challenges

Galvão, L. Q., de Souza, A. B. M., Moret, M. A., & Cruz, C. (2025) · Brazilian Journal of Physics · doi:10.1007/s13538-025-01946-z · Cited by 8

Quantum algorithm for spectral projection by measuring an ancilla iteratively

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Dual dynamic scaling in deconfined quantum criticality

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Boltzmann distributions on a quantum computer via active cooling

Ball, C., & Cohen, T. D. (2023) · Nuclear Physics A · doi:10.1016/j.nuclphysa.2023.122708 · Cited by 8

Efficient solution of the non-unitary time-dependent Schrodinger equation on a quantum computer with complex absorbing potential

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Estimating Eigenenergies from Quantum Dynamics: A Unified Noise-Resilient Measurement-Driven Approach

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Iterative method to improve the precision of the quantum-phase-estimation algorithm

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Quantum Algorithmic Approach to Multiconfigurational Valence Bond Theory: Insights from Interpretable Circuit Design

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Universal imaginary-time critical dynamics on a quantum computer

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Coupled cluster method tailored with quantum computing

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Two-dimensional coherent spectrum of high-spin models via a quantum computing approach

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Generalising quantum imaginary time evolution to solve linear partial differential equations

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Quantum Equation-of-Motion Method with Single, Double, and Triple Excitations

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Learning ground states of spin-orbit-coupled Bose-Einstein condensates by a theory-guided neural network

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Spectral estimation for Hamiltonians: a comparison between classical imaginary-time evolution and quantum real-time evolution

Stroeks, M., Helsen, J., & Terhal, B. M. (2022) · New Journal of Physics · doi:10.1088/1367-2630/ac919c · Cited by 8

Simulating time evolution on distributed quantum computers

Buessen, F. L., Segal, D., & Khait, I. (2023) · Physical Review Research · doi:10.1103/physrevresearch.5.l022003 · Cited by 10

Quantum simulation approach to implementing nuclear density functional theory via imaginary time evolution

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Gauged Cooling of Topological Excitations and Emergent Fermions on Quantum Simulators

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A quantum extension of SVM-perf for training nonlinear SVMs in almost linear time

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Quantum Markov chain Monte Carlo with digital dissipative dynamics on quantum computers

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Digit quantum simulation of a fermion field in an expanding universe

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Nonvariational ADAPT algorithm for quantum simulations

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Computing n -Time Correlation Functions without Ancilla Qubits

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Quantum dynamics simulation of the advection-diffusion equation

Alipanah, H., Zhang, F., Yao, Y.-X., Thompson, R., Nguyen, N., Liu, J., Givi, P., McDermott, B. J., & Mendoza-Arenas, J. J. (2025) · Physical Review Research · doi:10.1103/ndc3-bdwt · Cited by 15

The topology of data hides in quantum thermal states

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Experimental Direct Quantum Fidelity Learning via a Data-Driven Approach

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Quantum simulation of dissipation for Maxwell equations in dispersive media

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Block Lanczos method for excited states on a quantum computer

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Subspace-Search Quantum Imaginary Time Evolution for Excited State Computations

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A circuit-generated quantum subspace algorithm for the variational quantum eigensolver

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Triply-heavy/strange baryons with Cornell potential on a quantum computer

Arenaza, N. M., Gálvez-Viruet, J. J., & Llanes–Estrada, F. J. (2024) · The European Physical Journal A · doi:10.1140/epja/s10050-024-01430-3 · Cited by 7

Problem-tailored Simulation of Energy Transport on Noisy Quantum Computers

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Hamiltonian forging of a thermofield double

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Gate-Based Quantum Simulation of Gaussian Bosonic Circuits on Exponentially Many Modes

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Detection of energy levels of a spin system on a quantum computer by probe spin evolution

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Quantum Inverse Algorithm via Adaptive Variational Quantum Linear Solver: Applications to General Eigenstates

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Stochastic Approximation of Variational Quantum Imaginary Time Evolution

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