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We derive higher-order error bounds with small prefactors for a general Trotter product formula, generalizing a result of Childs et al.
M. Suzuki, General theory of fractal path integrals with applications to many-body theories and statistical physics, J. Math. Phys. 32
1991
Earlier work this paper cites.
T. Helgaker, P. Jørgensen, and J. Olsen, Molecular Electronic-Structure Theory (Wiley, 2000)
2000
Earlier work this paper cites.
D. Wecker, M. B. Hastings, N. Wiebe, B. K. Clark, C. Nayak, and M. Troyer, Solving strongly correlated electron models on a quantum computer, Phys. Rev. A 92
2015
Earlier work this paper cites.
R. Babbush, J. McClean, D. Wecker, A. Aspuru-Guzik, and N. Wiebe, Chemical basis of Trotter-Suzuki errors in quantum chemistry simulation, Phys. Rev. A 91
2015
Earlier work this paper cites.
W. Auzinger, H. Hofstätter, D. Ketcheson, and O. Koch, Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes, BIT Numer. Math. 57
2017
Earlier work this paper cites.
Z. Jiang, K. J. Sung, K. Kechedzhi, V. N. Smelyanskiy, and S. Boixo, Quantum algorithms to simulate many-body physics of correlated fermions, Phys. Rev. Appl. 9
2018
Earlier work this paper cites.
A. M. Childs, D. Maslov, Y. Nam, N. J. Ross, and Y. Su, Toward the first quantum simulation with quantum speedup, Proc. Natl. Acad. Sci. 115
2018
Earlier work this paper cites.
S. Hadfield and A. Papageorgiou, Divide and conquer approach to quantum Hamiltonian simulation, New J. Phys. 20
2018
Earlier work this paper cites.
R. Babbush, N. Wiebe, J. McClean, J. McClain, H. Neven, and G. K.-L. Chan, Low-depth quantum simulation of materials, Phys. Rev. X 8
2018
Earlier work this paper cites.
A. Smith, M. S. Kim, F. Pollmann, and J. Knolle, Simulating quantum many-body dynamics on a current digital quantum computer, npj Quantum Inf. 5
2019
Cited alongside, same era.
M. Heyl, P. Hauke, and P. Zoller, Quantum localization bounds Trotter errors in digital quantum simulation, Sci. Adv. 5
2019
Cited alongside, same era.
A. M. Childs and Y. Su, Nearly optimal lattice simulation by product formulas, Phys. Rev. Lett. 123
2019
Cited alongside, same era.
A. Tranter, P. J. Love, F. Mintert, N. Wiebe, and P. V. Coveney, Ordering of Trotterization: Impact on errors in quantum simulation of electronic structure, Entropy 21
2019
Cited alongside, same era.
L. Clinton, J. Bausch, and T. Cubitt, Hamiltonian simulation algorithms for near-term quantum hardware, Nat. Commun. 12
2021
Cited alongside, same era.
2022
Later among the works it cites.
S. McArdle, E. Campbell, and Y. Su, Exploiting fermion number in factorized decompositions of the electronic structure Hamiltonian, Phys. Rev. A 105
2022
Later among the works it cites.
D. Layden, First-order Trotter error from a second-order perspective, Phys. Rev. Lett. 128
2022
Later among the works it cites.
Y.-A. Chen, A. M. Childs, M. Hafezi, Z. Jiang, H. Kim, and Y. Xu, Efficient product formulas for commutators and applications to quantum simulation, Phys. Rev. Res. 4
2022
Later among the works it cites.
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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
Cited alongside, same era.
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Cited alongside, same era.
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https://github.com/qc-tum/fermi_hubbard_commutators
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2022
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2023
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