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Quantum computing can efficiently simulate Hamiltonian dynamics of many-body quantum physics, a task that is generally intractable with classical computers.
Über das Paulische Äquivalenzverbot
P. Jordan and E. Wigner · 1928
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Generalized trotter’s formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems
Masuo Suzuki · 1976
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Simulating physics with computers
Richard P. Feynman · 1982
Earlier work this paper cites.
General theory of fractal path integrals with applications to many-body theories and statistical physics
Masuo Suzuki · 1991
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Universal quantum simulators
Seth Lloyd · 1996
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Simulating physical phenomena by quantum networks
R. Somma, G. Ortiz, J. E. Gubernatis, E. Knill, and R. Laflamme · 2002
Earlier work this paper cites.
Simulated quantum computation of molecular energies
Alán Aspuru-Guzik, Anthony D Dutoi, Peter J Love, and Martin Head-Gordon · 2005
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Limitations of quantum simulation examined by simulating a pairing hamiltonian using nuclear magnetic resonance
Kenneth R. Brown, Robert J. Clark, and Isaac L. Chuang · 2006
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Efficient quantum algorithms for simulating sparse hamiltonians
Dominic W Berry, Graeme Ahokas, Richard Cleve, and Barry C Sanders · 2007
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Black-box hamiltonian simulation and unitary implementation
Dominic W Berry and Andrew M Childs · 2012
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Hamiltonian simulation using linear combinations of unitary operations
Andrew M Childs and Nathan Wiebe · 2012
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Quantum algorithms for quantum field theories
Stephen P Jordan, Keith SM Lee, and John Preskill · 2012
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Adiabatic quantum simulation of quantum chemistry
Ryan Babbush, Peter J Love, and Alán Aspuru-Guzik · 2014
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Exponential improvement in precision for simulating sparse hamiltonians
Dominic W Berry, Andrew M Childs, Richard Cleve, Robin Kothari, and Rolando D Somma · 2014
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Gate-count estimates for performing quantum chemistry on small quantum computers
Dave Wecker, Bela Bauer, Bryan K. Clark, Matthew B. Hastings, and Matthias Troyer · 2014
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Chemical basis of trotter-suzuki errors in quantum chemistry simulation
Ryan Babbush, Jarrod McClean, Dave Wecker, Alán Aspuru-Guzik, and Nathan Wiebe · 2015
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Digital quantum simulation of fermionic models with a superconducting circuit
R Barends, L Lamata, J Kelly, L García-Álvarez, AG Fowler, A Megrant, E Jeffrey, TC White, D Sank, JY Mutus, et al · 2015
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Random compiler for fast hamiltonian simulation
Earl Campbell · 2019
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Nearly optimal lattice simulation by product formulas
Andrew M. Childs and Yuan Su · 2019
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Faster quantum simulation by randomization
Andrew M. Childs, Aaron Ostrander, and Yuan Su · 2019
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Quantum localization bounds trotter errors in digital quantum simulation
Markus Heyl, Philipp Hauke, and Peter Zoller · 2019
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Hamiltonian Simulation by Qubitization
Guang Hao Low and Isaac L. Chuang · 2019
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Concentration for random product formulas
Chi-Fang Chen, Richard Kueng, Joel A Tropp, et al · 2020
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Dominic W. Berry, Andrew M. Childs, Richard Cleve, Robin Kothari, and Rolando D. Somma · 2015
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Monte carlo simulation of stoquastic hamiltonians
Sergey Bravyi · 2015
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Solving strongly correlated electron models on a quantum computer
Dave Wecker, Matthew B. Hastings, Nathan Wiebe, Bryan K. Clark, Chetan Nayak, and Matthias Troyer · 2015
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Polynomial-time classical simulation of quantum ferromagnets
Sergey Bravyi and David Gosset · 2017
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Shorter gate sequences for quantum computing by mixing unitaries
Earl Campbell · 2017
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Optimal hamiltonian simulation by quantum signal processing
Guang Hao Low and Isaac L. Chuang · 2017
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Toward the first quantum simulation with quantum speedup
Andrew M. Childs, Dmitri Maslov, Yunseong Nam, Neil J. Ross, and Yuan Su · 2018
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Quantum computational chemistry
Sam McArdle, Suguru Endo, Alán Aspuru-Guzik, Simon C. Benjamin, and Xiao Yuan · 2020
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Richard Meister, Simon C Benjamin, and Earl T Campbell · 2020
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Destructive error interference in product-formula lattice simulation
Minh C. Tran, Su-Kuan Chu, Yuan Su, Andrew M. Childs, and Alexey V. Gorshkov · 2020
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Theory of trotter error with commutator scaling
Andrew M. Childs, Yuan Su, Minh C. Tran, Nathan Wiebe, and Shuchen Zhu · 2021
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Nearly tight Trotterization of interacting electrons
Yuan Su, Hsin-Yuan Huang, and Earl T. Campbell · 2021
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OpenFermion: the electronic structure package for quantum computers
Jarrod R McClean, Nicholas C Rubin, Kevin J Sung, Ian D Kivlichan, Xavier Bonet-Monroig, Yudong Cao, Chengyu Dai, E Schuyler Fried, Craig Gidney, Brendan Gimby, Pranav Gokhale, Thomas Häner, Tarini Hardikar, Vojtěch Havlíček, Oscar Higgott, Cupjin Huang, Josh Izaac, Zhang Jiang, Xinle Liu, Sam McArdle, Matthew Neeley, Thomas O’Brien, Bryan O’Gorman, Isil Ozfidan, Maxwell D Radin, Jhonathan Romero, Nicolas P D Sawaya, Bruno Senjean, Kanav Setia, Sukin Sim, Damian S Steiger, Mark Steudtner, Qiming Sun, Wei Sun, Daochen Wang, Fang Zhang, and Ryan Babbush · 2058
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