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

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A variational eigenvalue solver on a photonic quantum processor

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Universal Quantum Simulators

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Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets

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Barren plateaus in quantum neural network training landscapes

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The theory of variational hybrid quantum-classical algorithms

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Quantum Simulation of Finite Temperature Schwinger Model via Quantum Imaginary Time Evolution

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Quantum computation of thermal averages for a non-Abelian D4 lattice gauge theory via quantum Metropolis sampling

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Quantum simulation of lattice gauge theories via deterministic duality transformations assisted by measurements

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Estimating Gibbs partition function with quantum Clifford sampling

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Quantum-Compute Algorithm for Exact Laser-Driven Electron Dynamics in Molecules

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Hamiltonian Learning from Time Dynamics Using Variational Algorithms

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Nonequilibrium Dynamics of Dirac Quantum Criticality in Imaginary Time

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Streamlined Krylov construction and classification of ergodic Floquet systems

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Robust simulations of many-body symmetry-protected topological phase transitions on a quantum processor

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Reconstructing thermal quantum quench dynamics from pure states

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Variational Phase Estimation with Variational Fast Forwarding

Filip, M.-A., Ramo, D. M., & Fitzpatrick, N. (2024) · Quantum · doi:10.22331/q-2024-03-13-1278 · Cited by 7

Quantum computation in fermionic thermal field theories

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Classically Computing Performance Bounds on Depolarized Quantum Circuits

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Noise-Aware Variational Eigensolvers: A Dissipative Route for Lattice Gauge Theories

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Optimal qubit-mediated quantum heat transfer via noncommuting operators and strong coupling effects

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Partitioned Quantum Subspace Expansion

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Quantum computing for automotive applications

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Superresolution of Green's functions on noisy quantum computers

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Adaptive variational ground state preparation for spin-1 models on qubit-based architectures

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Determination of molecular energies via variational-based quantum imaginary time evolution in a superconducting qubit system

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Resource-efficient quantum-classical hybrid algorithm for energy gap evaluation

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Toward reliability in the NISQ era: Robust interval guarantee for quantum measurements on approximate states

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Power of the Sine Hamiltonian Operator for Estimating the Eigenstate Energies on Quantum Computers

Xie, Q., Song, Y., & Zhao, Y. (2022) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.2c00759 · Cited by 6

Multi-state quantum simulations via model-space quantum imaginary time evolution

Tsuchimochi, T., Ryo, Y., Tsang, S. C., & Ten‐no, S. (2023) · npj Quantum Information · doi:10.1038/s41534-023-00780-y · Cited by 6

Programming Optical-Lattice Fermi-Hubbard Quantum Simulators

Tabares, C., Kokail, C., Zoller, P., González-Cuadra, D., & González-Tudela, A. (2025) · PRX Quantum · doi:10.1103/3nx4-bnyy · Cited by 12

Interacting Dirac fields in an expanding universe: Dynamical condensates and particle production

Fulgado-Claudio, C., Sala, P., González-Cuadra, D., & Bermúdez, A. (2025) · Physical review. D/Physical review. D. · doi:10.1103/bwjw-vb5b · Cited by 7

Quantum computing of the pairing Hamiltonian at finite temperature

Jiang, C., & Pei, J. (2023) · Physical Review C · doi:10.1103/physrevc.107.044308 · Cited by 5

Quantum computation of phase transition in interacting scalar quantum field theory

Thompson, S., & Siopsis, G. (2023) · Quantum Information Processing · doi:10.1007/s11128-023-04149-0 · Cited by 8

Finite-temperature detection of quantum critical points via internal quantum teleportation

Ribeiro, G. A. P., & Rigolin, G. (2025) · Physical Review A · doi:10.1103/physreva.111.012404 · Cited by 5

Direct probe of topology and geometry of quantum states on the IBM Q quantum processor

Chen, T., Ding, H.-T., Shen, R., Zhu, S.-L., & Gong, J. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.110.205402 · Cited by 6

Exponential optimization of adiabatic quantum-state preparation

Cugini, D., Nigro, D., Bruno, M., & Gerace, D. (2025) · Physical Review Research · doi:10.1103/physrevresearch.7.l012074 · Cited by 6

Variational quantum simulation of ground states and thermal states for lattice gauge theory with multi-objective optimization

Cheng, L.-X., & Zhang, D.-B. (2025) · Physics Letters A · doi:10.1016/j.physleta.2025.130516 · Cited by 5

Variational quantum eigensolver approach to prime factorization on IBM's noisy intermediate scale quantum computer

Sobhani, M., Chai, Y., Hartung, T., & Jansen, K. (2025) · Physical Review A · doi:10.1103/physreva.111.042413 · Cited by 8

Molecular Properties from Quantum Krylov Subspace Diagonalization

Oumarou, O., Ollitrault, P. J., Cortes, C. L., Scheurer, M., Parrish, R. M., & Gogolin, C. (2025) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.5c00194 · Cited by 10

Towards arbitrary QUBO optimization: analysis of classical and quantum-activated feedforward neural networks

Lai, C.-T., Blank, C., Schmelcher, P., & Mukherjee, R. (2025) · Machine Learning Science and Technology · doi:10.1088/2632-2153/addb97 · Cited by 5

Stabilizer configuration interaction: Finding molecular subspaces with error detection properties

Anand, A., & Brown, K. R. (2025) · Physical Review A · doi:10.1103/jkcp-6km5 · Cited by 9

Classical and quantum simulations of 1+1-dimensional $${{\mathbb{Z}}}_{2}$$ gauge theory at finite temperature and density

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Thermal state preparation by repeated interactions at and beyond the Lindblad limit

Ramon-Escandell, C., Prositto, A., & Segal, D. (2025) · Physical Review Research · doi:10.1103/5y2q-jzgx · Cited by 10

Equating quantum imaginary time evolution, Riemannian gradient flows, and stochastic implementations

McMahon, N. A., Pervez, M., & Arenz, C. (2026) · Physical Review Research · doi:10.1103/ht2m-1j91 · Cited by 15

Double-bracket quantum algorithms for high-fidelity ground-state preparation

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Symmetric Trotterization in digital quantum simulation of quantum spin dynamics

Lee, Y. (2023) · Journal of the Korean Physical Society · doi:10.1007/s40042-023-00722-z · Cited by 6

Non-Hermitian ground-state-searching algorithm enhanced by a variational toolbox

Chen, Y., Zhang, S., Hsieh, C., & Zhang, S. (2023) · Physical Review A · doi:10.1103/physreva.107.042418 · Cited by 8

Preparing a Fast Pauli Decomposition for Variational Quantum Solving Linear Equations

Ying, J., Shen, J., Zhou, L., Zhong, W., Du, M., & Sheng, Y. (2023) · Annalen der Physik · doi:10.1002/andp.202300212 · Cited by 5

Quantum algorithms for the computation of quantum thermal averages at work

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Vectorization of the density matrix and quantum simulation of the von Neumann equation of time-dependent Hamiltonians

Kunold, A. (2024) · Physica Scripta · doi:10.1088/1402-4896/ad44f4 · Cited by 5

Exploring the topological sector optimization on quantum computers

Ding, Y.-M., Wang, Y.-C., Zhang, S., & Zheng, Y. Q. (2024) · Physical Review Applied · doi:10.1103/physrevapplied.22.034031 · Cited by 6

Adaptive Variational Quantum Computing Approaches for Green’s Functions and Nonlinear Susceptibilities

Mootz, M., Iadecola, T., & Yao, Y. (2024) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.4c00874 · Cited by 6

Variational Quantum Algorithms for Gibbs State Preparation

Consiglio, M. (2024) · Lecture notes in computer science · doi:10.1007/978-3-031-81247-7_5 · Cited by 6

Exact block encoding of imaginary time evolution with universal quantum neural networks

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False vacuum decay in triamond lattice gauge theory

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Shadow ansatz for the many-fermion wave function in scalable molecular simulations on quantum computing devices

Wang, Y., Avdic, I., & Mazziotti, D. A. (2025) · Physical Review A · doi:10.1103/1nml-xjqw · Cited by 5

Lindblad engineering for quantum Gibbs state preparation under the eigenstate thermalization hypothesis

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Quantum simulation of the phase transition of the massive Thirring model

Gong, J.-Q., & Yang, J.-C. (2025) · Journal of High Energy Physics · doi:10.1007/jhep09(2025)120 · Cited by 5

Quantum Service-Oriented Architectures: From Hybrid Classical Approaches to Future Stand-Alone Solutions

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Artificial neural network encoding of molecular wavefunctions for quantum computing

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Quantum computation of π → π* and n → π* excited states of aromatic heterocycles

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Fast Emulation of Fermionic Circuits with Matrix Product States

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Short-imaginary-time quantum critical dynamics in the J−Q3 spin chain

Shu, Y.-R., & Yin, S. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.102.104425 · Cited by 5

Quantum algorithm for preparing the ground state of a physical system through multi-step quantum resonant transitions

Wang, H., & Yu, S. (2021) · Quantum Information Processing · doi:10.1007/s11128-020-02984-z · Cited by 5

Controlled gate networks: theory and application to eigenvalue estimation

Bee-Lindgren, M., Qian, Z., DeCross, M. P., Brown, N. C., Gilbreth, C. N., Watkins, J., Zhang, X., & Lee, D. (2025) · The European Physical Journal A · doi:10.1140/epja/s10050-025-01750-y · Cited by 5

The resource cost of large scale quantum computing

Fellous-Asiani, M. (2021) · theses.fr (ABES) · doi:10.70675/d1a944bez79cez43e1zaefcz785bf1e97f74 · Cited by 9

Calculation of partition function of Ising model on quantum computer

Laba, H. P., & Tkachuk, V. M. (2023) · Physics Letters A · doi:10.1016/j.physleta.2023.129213 · Cited by 4

Efficient preparation of the AKLT State with Measurement-based Imaginary Time Evolution

Chen, T., & Byrnes, T. (2024) · Quantum · doi:10.22331/q-2024-12-10-1557 · Cited by 5

Subspace-based local compilation of variational quantum circuits for large-scale quantum many-body simulation

Kanasugi, S., Hidaka, Y., Nakagawa, Y. O., Tsutsui, S., Matsumoto, N., Maruyama, K., Oshima, H., & Sato, S. (2025) · Physical Review Research · doi:10.1103/kb94-tf7t · Cited by 6

Towards sustainable exploration of chemical spaces with machine learning

Sandonas, L. M., Balcells, D., Barnowsky, T., Bochkarev, A. S., Cole, J., Deringer, V. L., Dobrautz, W., Ehrenhofer, A., Frank, T., Friederich, P., et al. (2026) · Digital Discovery · doi:10.1039/d6dd00157b · Cited by 7

Quantum imaginary-time control for accelerating the ground-state preparation

Chen, Y., Chen, Y., Hu, A., Hsieh, C., & Zhang, S. (2023) · Physical Review Research · doi:10.1103/physrevresearch.5.023087 · Cited by 5

Quantum techniques for eigenvalue problems

Lee, D. (2023) · The European Physical Journal A · doi:10.1140/epja/s10050-023-01183-5 · Cited by 4

Fragment-based initialization for quantum subspace methods

D’Cunha, R., Cortes, C. L., Gagliardi, L., & Gray, S. K. (2024) · Physical Review A · doi:10.1103/physreva.110.042613 · Cited by 4

Encoded probabilistic imaginary-time evolution on a trapped-ion quantum computer for ground and excited states of spin qubits

Nishi, H., Takei, Y., Kosugi, T., Mieda, S., Natsume, Y., Aoyagi, T., & Matsushita, Y. (2025) · Physical Review Applied · doi:10.1103/physrevapplied.23.034016 · Cited by 4

Imaginary Hamiltonian variational Ansatz for combinatorial optimization problems

Wang, X., Chai, Y., Feng, X., Guo, Y., Jansen, K., & Tüysüz, C. (2025) · Physical Review A · doi:10.1103/physreva.111.032612 · Cited by 4

Equation-of-motion internally contracted multireference unitary coupled-cluster theory

Li, S., Zhao, Z., & Evangelista, F. A. (2025) · The Journal of Chemical Physics · doi:10.1063/5.0261000 · Cited by 4

Simulating the non-Hermitian dynamics of financial option pricing with quantum computers

Kumar, S., & Wilmott, C. (2025) · Scientific Reports · doi:10.1038/s41598-025-97245-3 · Cited by 4

Spectral quantum algorithm for passive scalar transport in shear flows

Pfeffer, P., Brearley, P., Laizet, S., & Schumacher, J. (2025) · Scientific Reports · doi:10.1038/s41598-025-27219-y · Cited by 4

Hybrid quantum-classical approach for combinatorial problems at hadron colliders

Dong, Z., Kim, T., Kong, K., Park, M., Scott, J. L., Yi, H., Aboumrad, W., Kaushik, A., & Roetteler, M. (2026) · Scientific Reports · doi:10.1038/s41598-026-69946-w · Cited by 7

Composable Programming of Hybrid Workflows for Quantum Simulation

Nguyen, T., Oftelie, L. B., Lyakh, D. I., McCaskey, A., Leyton‐Ortega, V., Pooser, R. C., Elwasif, W. R., Humble, T. S., & de Jong, W. A. (2021) · IEEE International Conference on Software Architecture Companion (ICSA-C) · doi:10.1109/icsa-c52384.2021.00028 · Cited by 4

Metropolis-style random sampling of quantum gates for the estimation of low-energy observables

Unmuth-Yockey, J. (2022) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.105.034515 · Cited by 5

Sequence of penalties method to study excited states using VQE

Carobene, R., Barison, S., & Giachero, A. (2023) · Quantum Science and Technology · doi:10.1088/2058-9565/acd1a9 · Cited by 4

Improved Resource‐Tunable Near‐Term Quantum Algorithms for Transition Probabilities, with Applications in Physics and Variational Quantum Linear Algebra

Sawaya, N. P. D., & Huh, J. (2023) · Advanced Quantum Technologies · doi:10.1002/qute.202300042 · Cited by 4

Near-term quantum algorithm for computing molecular and materials properties based on recursive variational series methods

Jensen, P. W. K., Johnson, P. D., & Kunitsa, A. A. (2023) · Physical Review A · doi:10.1103/physreva.108.022422 · Cited by 5

Convergence of the quantum dynamics framework for optimization algorithm

Wang, F., & Wang, P. (2024) · Quantum Information Processing · doi:10.1007/s11128-024-04274-4 · Cited by 4

Spectral gaps of two- and three-dimensional many-body quantum systems in the thermodynamic limit

Lukin, I. V., Sotnikov, A., Leamer, J. M., Magann, A. B., & Bondar, D. I. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.023128 · Cited by 4

Calculation of Gibbs partition function with imaginary time evolution on near-term quantum computers

Matsumoto, K. T., Shingu, Y., Endo, S., Kawabata, S., Watabe, S., Nikuni, T., Hakoshima, H., & Matsuzaki, Y. (2022) · Japanese Journal of Applied Physics · doi:10.35848/1347-4065/ac5152 · Cited by 8

A Variational Ansatz for Taylorized Imaginary Time Evolution

Koch, M., Schaudt, O., Mogk, G., Mrziglod, T., Berg, H., & Beck, M. E. (2023) · ACS Omega · doi:10.1021/acsomega.3c01060 · Cited by 6

Kernel function based quantum algorithms for finite temperature quantum simulation

Wang, H., Nan, J., Zhang, T., Qiu, X., Chen, W., & Li, X. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.108.085102 · Cited by 7

Optimization at the Interface of Unitary and Non-unitary Quantum Operations in PCOAST

Schmitz, A. T., Ibrahim, M. M. A., Sawaya, N. P. D., Guerreschi, G. G., Paykin, J., Wu, X.-C., & Matsuura, A. Y. (2023) · IEEE International Conference on Quantum Computing and Engineering (QCE) · doi:10.1109/qce57702.2023.00088 · Cited by 4

Continuous-variable quantum Boltzmann machine

Bangar, S., Sunny, L., Aydeniz, K. Y., & Siopsis, G. (2025) · Quantum Machine Intelligence · doi:10.1007/s42484-025-00259-3 · Cited by 4

Quantum many-body simulation of finite-temperature systems with sampling a series expansion of a quantum imaginary-time evolution

Matsumoto, N., Tsutsui, S., Nakagawa, Y. O., Hidaka, Y., Kanasugi, S., Maruyama, K., Oshima, H., & Sato, S. (2025) · Physical Review Research · doi:10.1103/physrevresearch.7.013254 · Cited by 4

Variance minimization for nuclear structure on a quantum computer

Hobday, I., Stevenson, P. D., & Benstead, J. (2025) · Physical Review C · doi:10.1103/44k6-w3dt · Cited by 3

A Quantum Computational Method for Corrosion Inhibition

Jain, N., & Felice, R. D. (2025) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.5c00469 · Cited by 4

Excited states from ADAPT-VQE convergence path in many-body problems: Application to nuclear pairing problem and H 4 molecule dissociation

Zhang, J., & Denis Lacroix, A. (2025) · Physics Letters B · doi:10.1016/j.physletb.2025.139841 · Cited by 6

Quantum Computing Beyond Ground-State Electronic Structure: A Review of Progress Toward Quantum Chemistry Out of the Ground State

Bidart, A., Vaish, P., Kabengele, T., Pang, Y., Liu, Y., & Rubenstein, B. M. (2026) · Annual Review of Physical Chemistry · doi:10.1146/annurev-physchem-082624-084635 · Cited by 6

Probing shift-current responses in noncentrosymmetric materials using quantum algorithms

Pietralonga, C. S., & Paz, W. S. (2026) · Materials Today Quantum · doi:10.1016/j.mtquan.2026.100066 · Cited by 3

Simulating quantum electrodynamics in 2+1 dimensions with qubits and qumodes

Ale, V., Rainaldi, T., Rico, E., Ringer, F., & Siopsis, G. (2026) · Journal of High Energy Physics · doi:10.1007/jhep04(2026)122 · Cited by 3

From Linear Differential Equations to Unitaries: A Moment-Matching Dilation Framework with Near-Optimal Quantum Algorithms

Li, X. (2026) · PRX Quantum · doi:10.1103/xm61-ytf7 · Cited by 3

Simple and efficient end-to-end quantum thermal and ground state preparation

Ding, Z., Zhan, Y., Preskill, J. P., & Lin, L. (2026) · Nature Physics · doi:10.1038/s41567-026-03389-y · Cited by 61

Demonstration of a variational quantum eigensolver with a solid-state spin system under ambient conditions

Du, X., Shen, Y., Wu, Z., Zeng, B., & Yang, S. (2024) · Physical Review Applied · doi:10.1103/physrevapplied.22.014055 · Cited by 4

Computing Classical Partition Functions: From Onsager and Kaufman to Quantum Algorithms

Gargiulo, R., Rizzi, M., & Zeier, R. (2024) · doi:10.1145/3665870.3665878 · Cited by 3

Modelling of q-deformed harmonic oscillator on quantum computer

Samar, M. I., & Tkachuk, V. M. (2024) · Physics Letters A · doi:10.1016/j.physleta.2024.130146 · Cited by 3

Simplified projection on total spin zero for state preparation on quantum computers

Rule, E., Stetcu, I., & Carlson, J. (2024) · Physical Review C · doi:10.1103/physrevc.110.064003 · Cited by 3

Divide and Conquer-based Quantum Algorithms for Maximum Independent Set on Large Separable Graphs

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Quasiprobabilistic Imaginary-Time Evolution on Quantum Computers

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