Fetching the paper…
Reading the bibliography…
Estimating observable expectation values in eigenstates of quantum systems has a broad range of applications and is an area where early fault-tolerant quantum computers may provide practical quantum advantage.
H. F. Trotter, On the product of semi-groups of operators, Proceedings of the American Mathematical Society 10
1959
Earlier work this paper cites.
M. Suzuki, Generalized Trotter’s formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems, Communications in Mathematical Physics 51
1976
Earlier work this paper cites.
S. R. White, Density matrix formulation for quantum renormalization groups, Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
C. J. Hamer, Z. Weihong, and J. Oitmaa, Series expansions for the massive Schwinger model in Hamiltonian lattice theory, Phys. Rev. D 56
1997
Earlier work this paper cites.
G. Brassard, P. Hoyer, M. Mosca, and A. Tapp, Quantum amplitude amplification and estimation, arXiv preprint quant-ph/0005055 (2000)
2000
Earlier work this paper cites.
D. Aharonov and A. Ta-Shma, Adiabatic quantum state generation and statistical zero knowledge, Proceedings of the 35th ACM Symposium on Theory of Computing (Association for Computing Machinery, New York, 2003) , 20 (2003)
2003
Earlier work this paper cites.
G. Vidal, Efficient simulation of one-dimensional quantum many-body systems, Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
F. Verstraete, J. J. García-Ripoll, and J. I. Cirac, Matrix product density operators: Simulation of finite-temperature and dissipative systems, Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
J. Kempe, A. Kitaev, and O. Regev, The complexity of the local Hamiltonian problem (2005), arXiv:quant-ph/0406180 [quant-ph]
2005
Earlier work this paper cites.
W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes 3rd Edition: The Art of Scientific Computing , 3rd ed. (Cambridge University Press, New York, USA, 2007)
2007
Earlier work this paper cites.
N. Ares and D. A. Wisniacki, Loschmidt echo and the local density of states, Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 80
2009
Earlier work this paper cites.
F. Verstraete, J. I. Cirac, and J. I. Latorre, Quantum circuits for strongly correlated quantum systems, Phys. Rev. A 79
2009
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, Quantum computation and quantum information (Cambridge University Press, Cambridge, England, 2010)
2010
Earlier work this paper cites.
A. D. Bookatz, QMA-complete problems, arXiv preprint arXiv:1212.6312 (2012)
2012
Earlier work this paper cites.
2012
Earlier work this paper cites.
R. D. Somma and S. Boixo, Spectral gap amplification, SIAM Journal on Computing 42
2013
Earlier work this paper cites.
A. Peruzzo, J. McClean, P. Shadbolt, M.-H. Yung, X.-Q. Zhou, P. J. Love, A. Aspuru-Guzik, and J. L. O’Brien, A variational eigenvalue solver on a photonic quantum processor, Nature Communications 5
2014
Earlier work this paper cites.
A. Richards, University of Oxford Advanced Research Computing (2015)
2015
Earlier work this paper cites.
G. H. Low, T. J. Yoder, and I. L. Chuang, Methodology of resonant equiangular composite quantum gates, Phys. Rev. X 6
2016
Earlier work this paper cites.
Y. Li and S. C. Benjamin, Efficient variational quantum simulator incorporating active error minimization, Phys. Rev. X 7
2017
Earlier work this paper cites.
R. Babbush, C. Gidney, D. W. Berry, N. Wiebe, J. McClean, A. Paler, A. Fowler, and H. Neven, Encoding electronic spectra in quantum circuits with linear T complexity, Phys. Rev. X 8
2018
Earlier work this paper cites.
J. Gray, quimb: a python library for quantum information and many-body calculations, Journal of Open Source Software 3
2018
Earlier work this paper cites.
I. D. Kivlichan, J. McClean, N. Wiebe, C. Gidney, A. Aspuru-Guzik, G. K.-L. Chan, and R. Babbush, Quantum simulation of electronic structure with linear depth and connectivity, Phys. Rev. Lett. 120
2018
Earlier work this paper cites.
Y. Cao, J. Romero, J. P. Olson, M. Degroote, P. D. Johnson, M. Kieferová, I. D. Kivlichan, T. Menke, B. Peropadre, N. P. D. Sawaya, S. Sim, L. Veis, and A. Aspuru-Guzik, Quantum chemistry in the age of quantum computing, Chemical Reviews 119
2019
Earlier work this paper cites.
S. McArdle, T. Jones, S. Endo, Y. Li, S. C. Benjamin, and X. Yuan, Variational ansatz-based quantum simulation of imaginary time evolution, npj Quantum Information 5
2019
Earlier work this paper cites.
O. Higgott, D. Wang, and S. Brierley, Variational quantum computation of excited states, Quantum 3
2019
Earlier work this paper cites.
X. Yuan, S. Endo, Q. Zhao, Y. Li, and S. C. Benjamin, Theory of variational quantum simulation, Quantum 3
2019
Earlier work this paper cites.
E. Campbell, Random compiler for fast hamiltonian simulation, Physical review letters 123
2019
Earlier work this paper cites.
T. Jones, A. Brown, I. Bush, and S. C. Benjamin, QuEST and high performance simulation of quantum computers, Scientific Reports 9
2019
Cited alongside, same era.
J. Cotler, S. Choi, A. Lukin, H. Gharibyan, T. Grover, M. E. Tai, M. Rispoli, R. Schittko, P. M. Preiss, A. M. Kaufman, M. Greiner, H. Pichler, and P. Hayden, Quantum virtual cooling, Phys. Rev. X 9
2019
Cited alongside, same era.
Y. Ge, J. Tura, and J. I. Cirac, Faster ground state preparation and high-precision ground energy estimation with fewer qubits, Journal of Mathematical Physics 60
2019
Cited alongside, same era.
S. McArdle, S. Endo, A. Aspuru-Guzik, S. C. Benjamin, and X. Yuan, Quantum computational chemistry, Rev. Mod. Phys. 92
2020
Cited alongside, same era.
B. Bauer, S. Bravyi, M. Motta, and G. K.-L. Chan, Quantum algorithms for quantum chemistry and quantum materials science, Chemical Reviews 120
S. Lee, J. Lee, H. Zhai, Y. Tong, A. M. Dalzell, A. Kumar, P. Helms, J. Gray, Z.-H. Cui, W. Liu, M. Kastoryano, R. Babbush, J. Preskill, D. R. Reichman, E. T. Campbell, E. F. Valeev, L. Lin, and G. K.-L. Chan, Evaluating the evidence for exponential quantum advantage in ground-state quantum chemistry, Nature Communications 14
2023
Later among the works it cites.
G. Wang, D. S. França, R. Zhang, S. Zhu, and P. D. Johnson, Quantum algorithm for ground state energy estimation using circuit depth with exponentially improved dependence on precision, Quantum 7
2023
Later among the works it cites.
M. Huo and Y. Li, Error-resilient Monte Carlo quantum simulation of imaginary time, Quantum 7
2023
Later among the works it cites.
V. Kliuchnikov, K. Lauter, R. Minko, A. Paetznick, and C. Petit, Shorter quantum circuits via single-qubit gate approximation, Quantum 7
2023
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2020
Cited alongside, same era.
L. Lin and Y. Tong, Near-optimal ground state preparation, Quantum 4
2020
Cited alongside, same era.
T. Jones and S. Benjamin, QuESTlink—Mathematica embiggened by a hardware-optimised quantum emulator, Quantum Science and Technology 5
2020
Cited alongside, same era.
Z. Cai, X. Xu, and S. C. Benjamin, Mitigating coherent noise using Pauli conjugation, npj Quantum Information 6
2020
Cited alongside, same era.
Z. Cai, Resource estimation for quantum variational simulations of the Hubbard model, Phys. Rev. Appl. 14
2020
Cited alongside, same era.
C. Gidney and M. Ekerå, How to factor 2048 bit RSA integers in 8 hours using 20 million noisy qubits, Quantum 5
2021
Cited alongside, same era.
M. Cerezo, A. Arrasmith, R. Babbush, S. C. Benjamin, S. Endo, K. Fujii, J. R. McClean, K. Mitarai, X. Yuan, L. Cincio, and P. J. Coles, Variational quantum algorithms, Nature Reviews Physics 3
2021
Cited alongside, same era.
S. Endo, Z. Cai, S. C. Benjamin, and X. Yuan, Hybrid quantum-classical algorithms and quantum error mitigation, Journal of the Physical Society of Japan 90
2021
Cited alongside, same era.
2023
Later among the works it cites.
X. Xu and Y. Li, Quantum-assisted Monte Carlo algorithms for Fermions, Quantum 7
2023
Later among the works it cites.
H. Jnane, J. Steinberg, Z. Cai, H. C. Nguyen, and B. Koczor, Quantum error mitigated classical shadows, PRX Quantum 5
2024
Later among the works it cites.
G. Mazzola, Quantum computing for chemistry and physics applications from a Monte Carlo perspective, The Journal of Chemical Physics 160
2024
Later among the works it cites.
2024
Later among the works it cites.
2024
Later among the works it cites.
G. Rendon, J. Watkins, and N. Wiebe, Improved Accuracy for Trotter Simulations Using Chebyshev Interpolation, Quantum 8
2024
Later among the works it cites.
B. Koczor, Sparse probabilistic synthesis of quantum operations, PRX Quantum 5
2024
Later among the works it cites.
2024
Later among the works it cites.
B. Koczor, J. J. L. Morton, and S. C. Benjamin, Probabilistic interpolation of quantum rotation angles, Phys. Rev. Lett. 132
2024
Later among the works it cites.
A. Zlokapa and R. D. Somma, Hamiltonian simulation for low-energy states with optimal time dependence, Quantum 8
2024
Later among the works it cites.
W. Hwang and B. Koczor, Preparing ground and excited states using adiabatic CoVaR, New Journal of Physics 27
2025
Closest in time.
M. Larocca, S. Thanasilp, S. Wang, K. Sharma, J. Biamonte, P. J. Coles, L. Cincio, J. R. McClean, Z. Holmes, and M. Cerezo, Barren plateaus in variational quantum computing, Nature Reviews Physics 7
2025
Closest in time.
G. Boyd, B. Koczor, and Z. Cai, High-dimensional subspace expansion using classical shadows, Phys. Rev. A 111
2025
Closest in time.
G. Wang, D. S. França, G. Rendon, and P. D. Johnson, Efficient ground-state-energy estimation and certification on early fault-tolerant quantum computers, Physical Review A 111
2025
Closest in time.
O. Kiss, U. Azad, B. Requena, A. Roggero, D. Wakeham, and J. M. Arrazola, Early Fault-Tolerant Quantum Algorithms in Practice: Application to Ground-State Energy Estimation, Quantum 9
2025
Closest in time.
H. H. S. Chan, R. Meister, M. L. Goh, and B. Koczor, Algorithmic shadow spectroscopy, PRX Quantum 6
2025
Closest in time.
2025
Closest in time.
D. W. Berry, Y. Tong, T. Khattar, A. White, T. I. Kim, G. H. Low, S. Boixo, Z. Ding, L. Lin, S. Lee, et al. , Rapid initial-state preparation for the quantum simulation of strongly correlated molecules, PRX Quantum 6
2025
Closest in time.
2025
Closest in time.
2025
Closest in time.
T. Araki, J. F. Goodwin, and B. Koczor, Space-time trade-off in networked virtual distillation, Phys. Rev. A 112
2025
Closest in time.
Z. Cai, A. Chapman, H. Jnane, and B. Koczor, Biased estimator channels for classical shadows, Phys. Rev. A 111
2025
Closest in time.
C. Kiumi and B. Koczor, TE-PAI: exact time evolution by sampling random circuits, Quantum Science and Technology 10
2025
Closest in time.