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Simulating quantum dynamics beyond the reach of classical computers is one of the main envisioned applications of quantum computers.
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2017
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G. H. Low and N. Wiebe, Hamiltonian simulation in the interaction picture, arXiv:1805.00675 (2018)
2018
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A. M. Childs, D. Maslov, Y. Nam, N. J. Ross, and Y. Su, Toward the first quantum simulation with quantum speedup, Proceedings of the National Academy of Sciences 115
2018
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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
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G. H. Low and I. L. Chuang, Hamiltonian Simulation by Qubitization, Quantum 3
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A. M. Childs and Y. Su, Nearly optimal lattice simulation by product formulas, Phys. Rev. Lett. 123
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We focus on the case where H H is time-independent
Cited in the paper.
I. D. Kivlichan, C. Gidney, D. W. Berry, N. Wiebe, J. McClean, W. Sun, Z. Jiang, N. Rubin, A. Fowler, A. Aspuru-Guzik, H. Neven, and R. Babbush, Improved Fault-Tolerant Quantum Simulation of Condensed-Phase Correlated Electrons via Trotterization, Quantum 4
2020
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M. C. Tran, S.-K. Chu, Y. Su, A. M. Childs, and A. V. Gorshkov, Destructive error interference in product-formula lattice simulation, Phys. Rev. Lett. 124
2020
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2020
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Y. Ouyang, D. R. White, and E. T. Campbell, Compilation by stochastic Hamiltonian sparsification, Quantum 4
2020
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A. M. Childs, Y. Su, M. C. Tran, N. Wiebe, and S. Zhu, Theory of trotter error with commutator scaling, Phys. Rev. X 11
2021
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J. Haah, M. B. Hastings, R. Kothari, and G. H. Low, Quantum algorithm for simulating real time evolution of lattice hamiltonians, SIAM Journal on Computing , FOCS18 (2021)
2021
Closest in time.