Fetching the paper…
Reading the bibliography…
In this paper we provide a framework for combining multiple quantum simulation methods, such as Trotter-Suzuki formulas and QDrift into a single Composite channel that builds upon older coalescing ideas for reducing gate counts.
“Well-conditioned multiproduct hamiltonian simulation” (2019)
Guang Hao Low, Vadym Kliuchnikov, and Nathan Wiebe · 1907
Earlier work this paper cites.
“Phase estimation with randomized hamiltonians” (2019)
Ian D Kivlichan, Christopher E Granade, and Nathan Wiebe · 1907
Earlier work this paper cites.
“Fractal decomposition of exponential operators with applications to many-body theories and monte carlo simulations”
Masuo Suzuki · 1990
Earlier work this paper cites.
“Adiabatic quantum state generation and statistical zero knowledge”
Dorit Aharonov and Amnon Ta-Shma · 2003
Earlier work this paper cites.
“Efficient quantum algorithms for simulating sparse hamiltonians”
Dominic W Berry, Graeme Ahokas, Richard Cleve, and Barry C Sanders · 2007
Earlier work this paper cites.
“Higher order decompositions of ordered operator exponentials”
Nathan Wiebe, Dominic Berry, Peter Høyer, and Barry C Sanders · 2010
Earlier work this paper cites.
“Simulation of electronic structure hamiltonians using quantum computers”
James D Whitfield, Jacob Biamonte, and Alán Aspuru-Guzik · 2011
Earlier work this paper cites.
“Quantum algorithms for quantum field theories”
Stephen P Jordan, Keith SM Lee, and John Preskill · 2012
Earlier work this paper cites.
“Hamiltonian simulation using linear combinations of unitary operations” (2012)
Andrew M Childs and Nathan Wiebe · 2012
Earlier work this paper cites.
“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
Earlier work this paper cites.
“The trotter step size required for accurate quantum simulation of quantum chemistry” (2014)
David Poulin, Matthew B Hastings, Dave Wecker, Nathan Wiebe, Andrew C Doherty, and Matthias Troyer · 2014
Cited alongside, same era.
“Simulating hamiltonian dynamics with a truncated taylor series”
Dominic W. Berry, Andrew M. Childs, Richard Cleve, Robin Kothari, and Rolando D. Somma · 2015
Cited alongside, same era.
“Hamiltonian simulation with nearly optimal dependence on all parameters”
Dominic W. Berry, Andrew M. Childs, and Robin Kothari · 2015
Cited alongside, same era.
“Elucidating reaction mechanisms on quantum computers”
Markus Reiher, Nathan Wiebe, Krysta M Svore, Dave Wecker, and Matthias Troyer · 2017
Cited alongside, same era.
“Low-depth quantum simulation of materials”
Ryan Babbush, Nathan Wiebe, Jarrod McClean, James McClain, Hartmut Neven, and Garnet Kin-Lic Chan · 2018
Cited alongside, same era.
“Quantum simulation of the sachdev-ye-kitaev model by asymmetric qubitization”
“Time-dependent Hamiltonian simulation with L 1 L^{1} -norm scaling”
Dominic W. Berry, Andrew M. Childs, Yuan Su, Xin Wang, and Nathan Wiebe · 2020
Later among the works it cites.
“Compilation by stochastic hamiltonian sparsification”
Yingkai Ouyang, David R. White, and Earl T. Campbell · 2020
Later among the works it cites.
“Fault-tolerant quantum simulations of chemistry in first quantization”
Yuan Su, Dominic W. Berry, Nathan Wiebe, Nicholas Rubin, and Ryan Babbush · 2021
Later among the works it cites.
“Theory of trotter error with commutator scaling”
Andrew M. Childs, Yuan Su, Minh C. Tran, Nathan Wiebe, and Shuchen Zhu · 2021
Later among the works it cites.
“A partially random trotter algorithm for quantum hamiltonian simulations” (2021)
Shi Jin and Xiantao Li · 2021
Later among the works it cites.
“Randomizing multi-product formulas for improved hamiltonian simulation” (2021)
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Ryan Babbush, Dominic W. Berry, and Hartmut Neven · 2019
Cited alongside, same era.
“Faster quantum simulation by randomization”
Andrew M. Childs, Aaron Ostrander, and Yuan Su · 2019
Cited alongside, same era.
“Hamiltonian Simulation by Qubitization”
Guang Hao Low and Isaac L. Chuang · 2019
Cited alongside, same era.
“Hamiltonian simulation in the interaction picture” (2019)
Guang Hao Low and Nathan Wiebe · 2019
Cited alongside, same era.
“Random compiler for fast hamiltonian simulation”
Earl Campbell · 2019
Cited alongside, same era.
Paul K Faehrmann, Mark Steudtner, Richard Kueng, Maria Kieferova, and Jens Eisert · 2021
Later among the works it cites.
“Concentration for random product formulas”
Chi-Fang Chen, Hsin-Yuan Huang, Richard Kueng, and Joel A. Tropp · 2021
Later among the works it cites.
“Efficient quantum computation of molecular forces and other energy gradients”
Thomas E. O’Brien, Michael Streif, Nicholas C. Rubin, Raffaele Santagati, Yuan Su, William J. Huggins, Joshua J. Goings, Nikolaj Moll, Elica Kyoseva, Matthias Degroote, Christofer S. Tautermann, Joonho Lee, Dominic W. Berry, Nathan Wiebe, and Ryan Babbush · 2022
Closest in time.
“Hybridized Methods for Quantum Simulation in the Interaction Picture”
Abhishek Rajput, Alessandro Roggero, and Nathan Wiebe · 2022
Closest in time.