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Trotter approximation in conjunction with Quantum Phase Estimation can be used to extract eigen-energies of a many-body Hamiltonian on a quantum computer.
“Molecular electronic structure theory”
Trygve Helgaker, Poul Jørgensen, and Jeppe Olsen · 2000
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“How to perform the most accurate possible phase measurements”
Dominic W. Berry, Dominic W. Berry, Brendon Higgins, Stephen D. Bartlett, Morgan W. Mitchell, Geoff J. Pryde, and Howard M. Wiseman · 2009
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“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
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“Elucidating reaction mechanisms on quantum computers”
Markus Reiher, Nathan Wiebe, Krysta M. Svore, Dave Wecker, and Matthias Troyer · 2017
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“Tapering off qubits to simulate fermionic hamiltonians” (2017)
Sergey Bravyi, Jay M. Gambetta, Antonio Mezzacapo, and Kristan Temme · 2017
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“Deploying a top-100 supercomputer for large parallel workloads: the niagara supercomputer”
Marcelo Ponce, Ramses van Zon, Scott Northrup, Daniel Gruner, Joseph Chen, Fatih Ertinaz, Alexey Fedoseev, Leslie Groer, Fei Mao, Bruno C. Mundim, Mike Nolta, Jaime Pinto, Marco Saldarriaga, Vladimir Slavnic, Erik Spence, Ching-Hsing Yu, and W. Richard Peltier · 2019
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“Ordering of trotterization: Impact on errors in quantum simulation of electronic structure”
Andrew Tranter, Peter J. Love, Florian Mintert, Nathan Wiebe, and Peter V. Coveney · 2019
Earlier work this paper cites.
“Circuit optimization of hamiltonian simulation by simultaneous diagonalization of pauli clusters”
Ewout Van Den Berg and Kristan Temme · 2020
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“Measuring all compatible operators in one series of single-qubit measurements using unitary transformations”
Tzu-Ching Yen, Vladyslav Verteletskyi, and Artur F Izmaylov · 2020
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“Measurement optimization in the variational quantum eigensolver using a minimum clique cover”
Vladyslav Verteletskyi, Tzu-Ching Yen, and Artur F. Izmaylov · 2020
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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, et al · 2020
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“Improved Fault-Tolerant Quantum Simulation of Condensed-Phase Correlated Electrons via Trotterization”
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 · 2020
“Cartan subalgebra approach to efficient measurements of quantum observables”
Tzu-Ching Yen and Artur F. Izmaylov · 2021
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“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 · 2021
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“Even more efficient quantum computations of chemistry through tensor hypercontraction”
Joonho Lee, Dominic W. Berry, Craig Gidney, William J. Huggins, Jarrod R. McClean, Nathan Wiebe, and Ryan Babbush · 2021
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“Improved error scaling for trotter simulations through extrapolation” (2022)
Gumaro Rendon, Jacob Watkins, and Nathan Wiebe · 2022
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“Fidelity overhead for nonlocal measurements in variational quantum algorithms”
Zachary Pierce Bansingh, Tzu-Ching Yen, Peter D Johnson, and Artur F Izmaylov · 2022
Later among the works it cites.
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“Simulating quantum materials with digital quantum computers”
Lindsay Bassman Oftelie, Miroslav Urbanek, Mekena Metcalf, Jonathan Carter, Alexander F. Kemper, and Wibe A. de Jong · 2021
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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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“SciPy 1.0: Fundamental Algorithms for Scientific Computing in Python”
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“Disentangling hype from practicality: On realistically achieving quantum advantage” (2023)
Torsten Hoefler, Thomas Haener, and Matthias Troyer · 2023
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“Assessment of various Hamiltonian partitionings for the electronic structure problem on a quantum computer using the Trotter approximation”
Luis A. Martínez-Martínez, Tzu-Ching Yen, and Artur F. Izmaylov · 2023
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