Fetching the paper…
Reading the bibliography…
We consider simulating quantum systems on digital quantum computers.
Nearly optimal lattice simulation by product formulas
Andrew M. Childs and Yuan Su · 1901
Earlier work this paper cites.
Qubitization of arbitrary basis quantum chemistry leveraging sparsity and low rank factorization
Dominic W. Berry, Craig Gidney, Mario Motta, Jarrod R. McClean, and Ryan Babbush · 1902
Earlier work this paper cites.
Ian D. Kivlichan, Craig Gidney, Dominic W. Berry, Nathan Wiebe, Jarrod McClean, Wei Sun, Zhang Jiang, Nicholas Rubin, Austin Fowler, Alán Aspuru-Guzik, Hartmut Neven, and Ryan Babbush · 1902
Earlier work this paper cites.
High-fidelity trotter formulas for digital quantum simulation
Yi-Xiang Liu, Jordan Hines, Zhi Li, Ashok Ajoy, and Paola Cappellaro · 1903
Earlier work this paper cites.
Simulating large quantum circuits on a small quantum computer
Tianyi Peng, Aram W. Harrow, Maris Ozols, and Xiaodi Wu · 1904
Earlier work this paper cites.
Well-conditioned multiproduct Hamiltonian simulation, 2019
Guang Hao Low, Vadym Kliuchnikov, and Nathan Wiebe · 1907
Earlier work this paper cites.
Dong An and Lin Lin · 1909
Earlier work this paper cites.
Nicolas P. D. Sawaya, Tim Menke, Thi Ha Kyaw, Sonika Johri, Alán Aspuru-Guzik, and Gian Giacomo Guerreschi · 1909
Earlier work this paper cites.
Resource estimation for quantum variational simulations of the Hubbard model
Zhenyu Cai · 1910
Earlier work this paper cites.
Lin Lin and Yu Tong · 1910
Earlier work this paper cites.
Compilation by stochastic Hamiltonian sparsification
Yingkai Ouyang, David R. White, and Earl T. Campbell · 1910
Earlier work this paper cites.
Strategies for solving the Fermi-Hubbard model on near-term quantum computers
Chris Cade, Lana Mineh, Ashley Montanaro, and Stasja Stanisic · 1912
Earlier work this paper cites.
A theory of Trotter error, 2019b
Andrew M. Childs, Yuan Su, Minh C. Tran, Nathan Wiebe, and Shuchen Zhu · 1912
Earlier work this paper cites.
The evaluation of the collision matrix
Gian Carlo Wick · 1950
Earlier work this paper cites.
Simulating physics with computers
Richard P. Feynman · 1982
Earlier work this paper cites.
Decomposition formulas of exponential operators and Lie exponentials with some applications to quantum mechanics and statistical physics
Masuo Suzuki · 1985
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.
Universal quantum simulators
Seth Lloyd · 1996
Earlier work this paper cites.
Quantum algorithms for quantum chemistry and quantum materials science
Bela Bauer, Sergey Bravyi, Mario Motta, and Garnet Kin Chan · 2001
Earlier work this paper cites.
Quantum algorithms for fermionic simulations
G. Ortiz, J. E. Gubernatis, E. Knill, and R. Laflamme · 2001
Earlier work this paper cites.
Near-optimal ground state preparation
Lin Lin and Yu Tong · 2002
Earlier work this paper cites.
Quantum algorithms for simulating the lattice Schwinger model
Alexander F. Shaw, Pavel Lougovski, Jesse R. Stryker, and Nathan Wiebe · 2002
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.
Exponential algorithmic speedup by quantum walk
Andrew M. Childs, Richard Cleve, Enrico Deotto, Edward Farhi, Sam Gutmann, and Daniel A. Spielman · 2003
Earlier work this paper cites.
Hamiltonian simulation algorithms for near-term quantum hardware, 2020
Laura Clinton, Johannes Bausch, and Toby Cubitt · 2003
Earlier work this paper cites.
Fast digital methods for adiabatic state preparation, 2020
Kianna Wan and Isaac Kim · 2004
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
Earlier work this paper cites.
Hamiltonian simulation in the low energy subspace, 2020
Burak Şahinoğlu and Rolando D. Somma · 2006
Earlier work this paper cites.
Faster digital quantum simulation by symmetry protection
Minh C. Tran, Yuan Su, Daniel Carney, and Jacob M. Taylor · 2006
Earlier work this paper cites.
Efficient quantum algorithms for simulating sparse Hamiltonians
Dominic W. Berry, Graeme Ahokas, Richard Cleve, and Barry C. Sanders · 2007
Cited alongside, same era.
Gauge-symmetry protection using single-body terms, 2020
Jad C. Halimeh, Haifeng Lang, Julius Mildenberger, Zhang Jiang, and Philipp Hauke · 2007
Cited alongside, same era.
Improved thermal area law and quasilinear time algorithm for quantum Gibbs states
Tomotaka Kuwahara, Álvaro M. Alhambra, and Anurag Anshu · 2007
Cited alongside, same era.
Richard Meister, Simon C. Benjamin, and Earl T. Campbell · 2007
Cited alongside, same era.
Hamiltonian simulation with nearly optimal dependence on all parameters
Dominic W. Berry, Andrew M. Childs, and Robin Kothari · 2015
Later among the works it cites.
J. P. F. LeBlanc, Andrey E. Antipov, Federico Becca, Ireneusz W. Bulik, Garnet Kin-Lic Chan, Chia-Min Chung, Youjin Deng, Michel Ferrero, Thomas M. Henderson, Carlos A. Jiménez-Hoyos, E. Kozik, Xuan-Wen Liu, Andrew J. Millis, N. V. Prokof’ev, Mingpu Qin, Gustavo E. Scuseria, Hao Shi, B. V. Svistunov, Luca F. Tocchio, I. S. Tupitsyn, Steven R. White, Shiwei Zhang, Bo-Xiao Zheng, Zhenyue Zhu, and Emanuel Gull · 2015
Later among the works it cites.
The Trotter step size required for accurate quantum simulation of quantum chemistry
David Poulin, Matthew B. Hastings, Dave Wecker, Nathan Wiebe, Andrew C. Doherty, and Matthias Troyer · 2015
Later among the works it cites.
Quantum simulations of one dimensional quantum systems, 2015
Rolando D. Somma · 2015
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Vera von Burg, Guang Hao Low, Thomas Häner, Damian S. Steiger, Markus Reiher, Martin Roetteler, and Matthias Troyer · 2007
Cited alongside, same era.
Chi-Fang Chen, Hsin-Yuan Huang, Richard Kueng, and Joel A. Tropp · 2008
Cited alongside, same era.
A sparse model of quantum holography, 2020
Shenglong Xu, Leonard Susskind, Yuan Su, and Brian Swingle · 2008
Cited alongside, same era.
Quantum algorithm for linear systems of equations
Aram W. Harrow, Avinatan Hassidim, and Seth Lloyd · 2009
Cited alongside, same era.
Boundedness properties of fermionic operators
Peter Otte · 2010
Cited alongside, same era.
Observation of separated dynamics of charge and spin in the Fermi-Hubbard model, 2020
Google AI Quantum and collaborators · 2010
Cited alongside, same era.
Toward simulating superstring/M-theory on a quantum computer, 2020
Hrant Gharibyan, Masanori Hanada, Masazumi Honda, and Junyu Liu · 2011
Cited alongside, same era.
Even more efficient quantum computations of chemistry through tensor hypercontraction, 2020
Joonho Lee, Dominic W. Berry, Craig Gidney, William J. Huggins, Jarrod R. McClean, Nathan Wiebe, and Ryan Babbush · 2011
Cited alongside, same era.
Later among the works it cites.
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
Later among the works it cites.
A Trotter-Suzuki approximation for Lie groups with applications to Hamiltonian simulation
Rolando D. Somma · 2016
Later among the works it cites.
Quantum speed-ups for solving semidefinite programs
Fernando G. S. L. Brandao and Krysta M. Svore · 2017
Later among the works it cites.
Elucidating reaction mechanisms on quantum computers
Markus Reiher, Nathan Wiebe, Krysta M. Svore, Dave Wecker, and Matthias Troyer · 2017
Later among the works it cites.
Low-depth quantum simulation of materials
Ryan Babbush, Nathan Wiebe, Jarrod McClean, James McClain, Hartmut Neven, and Garnet Kin-Lic Chan · 2018
Later among the works it cites.
Toward the first quantum simulation with quantum speedup
Andrew M. Childs, Dmitri Maslov, Yunseong Nam, Neil J. Ross, and Yuan Su · 2018
Later among the works it cites.
Quantum algorithm for simulating real time evolution of lattice Hamiltonians
Jeongwan Haah, Matthew B. Hastings, Robin Kothari, and Guang Hao Low · 2018
Later among the works it cites.
Divide and conquer approach to quantum Hamiltonian simulation
Stuart Hadfield and Anargyros Papageorgiou · 2018
Later among the works it cites.
Quantum simulation of electronic structure with linear depth and connectivity
Ian D. Kivlichan, Jarrod McClean, Nathan Wiebe, Craig Gidney, Alán Aspuru-Guzik, Garnet Kin-Lic Chan, and Ryan Babbush · 2018
Later among the works it cites.
Measuring the Rényi entropy of a two-site Fermi-Hubbard model on a trapped ion quantum computer
Norbert M. Linke, Sonika Johri, Caroline Figgatt, Kevin A. Landsman, Anne Y. Matsuura, and Christopher Monroe · 2018
Later among the works it cites.
Hamiltonian simulation in the interaction picture, 2018
Guang Hao Low and Nathan Wiebe · 2018
Later among the works it cites.
An introduction to quantum field theory
Michael E. Peskin and Daniel V. Schroeder · 2018
Later among the works it cites.
Random compiler for fast Hamiltonian simulation
Earl Campbell · 2019
Later among the works it cites.
Quantum chemistry in the age of quantum computing
Yudong Cao, Jonathan Romero, Jonathan P. Olson, Matthias Degroote, Peter D. Johnson, Mária Kieferová, Ian D. Kivlichan, Tim Menke, Borja Peropadre, Nicolas P. D. Sawaya, Sukin Sim, Libor Veis, and Alán Aspuru-Guzik · 2019
Later among the works it cites.
Faster quantum simulation by randomization
Andrew M. Childs, Aaron Ostrander, and Yuan Su · 2019
Later among the works it cites.
András Gilyén, Yuan Su, Guang Hao Low, and Nathan Wiebe · 2019
Later among the works it cites.
Hamiltonian simulation by qubitization
Guang Hao Low and Isaac L. Chuang · 2019
Later among the works it cites.
Locality and digital quantum simulation of power-law interactions
Minh C. Tran, Andrew Y. Guo, Yuan Su, James R. Garrison, Zachary Eldredge, Michael Foss-Feig, Andrew M. Childs, and Alexey V. Gorshkov · 2019
Later among the works it cites.
Quantum computational chemistry
Sam McArdle, Suguru Endo, Alán Aspuru-Guzik, Simon C. Benjamin, and Xiao Yuan · 2020
Closest in time.
Theory of Trotter error with commutator scaling
Andrew M. Childs, Yuan Su, Minh C. Tran, Nathan Wiebe, and Shuchen Zhu · 2021
Closest in time.
Faster coherent quantum algorithms for phase, energy, and amplitude estimation, 2021
Patrick Rall · 2021
Closest in time.
Fault-tolerant quantum simulations of chemistry in first quantization, 2021
Yuan Su, Dominic W. Berry, Nathan Wiebe, Nicholas Rubin, and Ryan Babbush · 2021
Closest in time.
Quantum simulation of chemistry with sublinear scaling in basis size
Ryan Babbush, Dominic W. Berry, Jarrod R. McClean, and Hartmut Neven · 2056
Closest in time.
Low rank representations for quantum simulation of electronic structure
Mario Motta, Erika Ye, Jarrod R. McClean, Zhendong Li, Austin J. Minnich, Ryan Babbush, and Garnet Kin-Lic Chan · 2056
Closest in time.