Fetching the paper…
Reading the bibliography…
Quantum Monte Carlo and quantum simulation are both important tools for understanding quantum many-body systems.
N. Metropolis and S. Ulam, The Monte Carlo Method
1949
Earlier work this paper cites.
J. Hubbard, Electron correlations in narrow energy bands
1963
Earlier work this paper cites.
M. Takahashi, Half-filled Hubbard model at low temperature
1977
Earlier work this paper cites.
R. Blankenbecler, D. J. Scalapino, and R. L. Sugar, Monte Carlo calculations of coupled boson-fermion systems. I
1981
Earlier work this paper cites.
J. Lomnitz-Adler, V. Pandharipande, and R. Smith, Monte Carlo calculations of triton and 𝐻𝑒 4 \mathit{{}^{4}He} nuclei with the Reid potential
1981
Earlier work this paper cites.
R. Feynman, Simulating physics with computers
1982
Earlier work this paper cites.
G. Parisi, On complex probabilities
1983
Earlier work this paper cites.
J. R. Klauder, Stochastic Quantization
1983
Earlier work this paper cites.
M. Suzuki, Fractal decomposition of exponential operators with applications to many-body theories and Monte Carlo simulations
1990
Earlier work this paper cites.
H. Yoshida, Construction of higher order symplectic integrators
1990
Earlier work this paper cites.
H. G. Evertz, G. Lana, and M. Marcu, Cluster algorithm for vertex models
1993
Earlier work this paper cites.
B. J. Hammond, W. A. Lester, and P. J. Reynolds, Monte Carlo Methods in ab Initio Quantum Chemistry
1994
Earlier work this paper cites.
S. Lloyd, Universal quantum simulators
1996
Earlier work this paper cites.
E. Knill, R. Laflamme, and W. H. Zurek, Resilient Quantum Computation
1998
Earlier work this paper cites.
W. M. C. Foulkes, L. Mitas, R. J. Needs, and G. Rajagopal, Quantum Monte Carlo simulations of solids
2001
Earlier work this paper cites.
G. Brassard, P. Hoyer, M. Mosca, and A. Tapp, Quantum Amplitude Amplification and Estimation
2002
Earlier work this paper cites.
M. Troyer and U.-J. Wiese, Computational Complexity and Fundamental Limitations to Fermionic Quantum Monte Carlo Simulations
2005
Earlier work this paper cites.
A. Strikis, D. Qin, Y. Chen, S.C. Benjamin, and Y. Li, Learning-based quantum error mitigation
2005
Earlier work this paper cites.
2005
Earlier work this paper cites.
D. W. Berry, G. Ahokas, R. Cleve, B. C. Sanders, Efficient quantum algorithms for simulating sparse Hamiltonians
2007
Earlier work this paper cites.
2007
Earlier work this paper cites.
D. Lee, Lattice simulations for few- and many-body systems
2009
Earlier work this paper cites.
K. Van Houcke, E. Kozik, N. Prokof’ev, and B. Svistunov, Diagrammatic Monte Carlo
2010
Earlier work this paper cites.
2010
Earlier work this paper cites.
N. Wiebe, D. Berry, P. Høyer, and B. C. Sanders, Higher order decompositions of ordered operator exponentials
2010
Cited alongside, same era.
2010
Cited alongside, same era.
M. Kliesch, T. Barthel, C. Gogolin, M. Kastoryano, and J. Eisert, Dissipative quantum Church-Turing theorem
2011
Cited alongside, same era.
H. Wang, S. Ashhab, and F. Nori, Quantum algorithm for simulating the dynamics of an open quantum system
2011
Cited alongside, same era.
K. Temme, T. J. Osborne, K. G. Vollbrecht, D. Poulin, and F. Verstraete, Quantum Metropolis sampling
2011
Cited alongside, same era.
K. Temme, S. Bravyi, and J. M. Gambetta, Error Mitigation for Short-Depth Quantum Circuits
2017
Later among the works it cites.
J. R. McClean, M. E. Kimchi-Schwartz, J. Carter, and W. A. de Jong, Hybrid quantum-classical hierarchy for mitigation of decoherence and determination of excited states
2017
Later among the works it 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
2018
Later among the works it cites.
J. R. McClean, S. Boixo, V. N. Smelyanskiy, R. Babbush, and H. Neven, Barren plateaus in quantum neural network training landscapes
2018
Later among the works it cites.
S. Endo, S. C. Benjamin, and Y. Li, Practical quantum error mitigation for near-future applications
2018
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2011
Cited alongside, same era.
2011
Cited alongside, same era.
K. Van Houcke, F. Werner, E. Kozik, N. Prokof’ev, B. Svistunov, M. J. H. Ku, A. T. Sommer, L. W. Cheuk, A. Schirotzek, and M. W. Zwierlein, Feynman diagrams versus Fermi-gas Feynman emulator
2012
Cited alongside, same era.
M. Cristoforetti, F. DiRenzo, and L. Scorzato, New approach to the sign problem in quantum field theories: High density QCD on a Lefschetz thimble
2012
Cited alongside, same era.
A. M. Childs and N. Wiebe, Hamiltonian simulation using linear combinations of unitary operations
2012
Cited alongside, same era.
A. Riera, C. Gogolin, and J. Eisert, Thermalization in nature and on a quantum computer
2012
Cited alongside, same era.
A. G. Fowler, M. Mariantoni, J. M. Martinis, and A. N. Cleland, Surface codes: Towards practical large-scale quantum computation
2012
Cited alongside, same era.
D. Frame, R. He, I. Ipsen, Daniel Lee, Dean Lee, and E. Rrapaj, Eigenvector continuation with subspace learning
2018
Later among the works it cites.
X. Bonet-Monroig, R. Sagastizabal, M. Singh, and T. E. O’Brien Low-cost error mitigation by symmetry verification
2018
Later among the works it cites.
C. Bertrand, S. Florens, O. Parcollet, and X. Waintal, Reconstructing Nonequilibrium Regimes of Quantum Many-Body Systems from the Analytical Structure of Perturbative Expansions
2019
Later among the works it cites.
B.-N. Lu, N. Li, S. Elhatisari, D. Lee, E. Epelbaum, and Ulf-G. Meißner, Essential elements for nuclear binding
2019
Later among the works it cites.
E. Campbell, Random compiler for fast Hamiltonian simulation
2019
Later among the works it cites.
T. E O’Brien, B. Tarasinski, and B. M. Terhal, Quantum phase estimation of multiple eigenvalues for small-scale (noisy) experiments
2019
Later among the works it cites.
S. McArdle, T. Jones, S. Endo, Y. Li, S. C. Benjamin, and X. Yuan, Variational ansatz-based quantum simulation of imaginary time evolution
2019
Later among the works it 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
2019
Later among the works it cites.
S. McArdle, X. Yuan, and S. Benjamin, Error-mitigated digital quantum simulation
2019
Later among the works it cites.
F. Arute et al
2019
Later among the works it cites.
D. Hangleiter, I. Roth, D. Nagaj, and J. Eisert, Easing the Monte Carlo sign problem
2020
Later among the works it cites.
M. Motta, C. Sun, A. T. K. Tan, M. J. O’Rourke, E. Ye, A. J. Minnich, F. G. S. L. Brandão, and G. Kin-Lic Chan, Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution
2020
Later among the works it cites.
S. McArdle, S. Endo, A. Aspuru-Guzik, S. C. Benjamin, and X. Yuan, Quantum computational chemistry
2020
Later among the works it cites.
S. König, A. Ekström, K. Hebeler, D. Lee, and A. Schwenk, Eigenvector Continuation as an Efficient and Accurate Emulator for Uncertainty Quantification
2020
Later among the works it cites.
S. Bravyi, D. Gosset, R. König, and M. Tomamichel, Quantum advantage with noisy shallow circuits
2020
Later among the works it cites.
T. Jones and S. Benjamin, QuESTlink—Mathematica embiggened by a hardware-optimised quantum emulator
2020
Later among the works it cites.
J.-L. Wynen, E. Berkowitz, S. Krieg, T. Luu, and J. Ostmeyer, Machine learning to alleviate Hubbard-model sign problems
2021
Closest in time.
S. Lu, M. C. Bañuls, and J. I. Cirac, Algorithms for Quantum Simulation at Finite Energies
2021
Closest in time.
A. Sarkar and D. Lee, Convergence of Eigenvector Continuation
2021
Closest in time.