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Quantum simulation of quantum field theories as quantum chemistry

Liu, Junyu and Xin, Yuan (2020) Quantum simulation of quantum field theories as quantum chemistry. Journal of High Energy Physics, 2020 (12). Art. No. 11. ISSN 1029-8479. doi:10.1007/jhep12(2020)011.

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Conformal truncation is a powerful numerical method for solving generic strongly-coupled quantum field theories based on purely field-theoretic technics without introducing lattice regularization. We discuss possible speedups for performing those computations using quantum devices, with the help of near-term and future quantum algorithms. We show that this construction is very similar to quantum simulation problems appearing in quantum chemistry (which are widely investigated in quantum information science), and the renormalization group theory provides a field theory interpretation of conformal truncation simulation. Taking two-dimensional Quantum Chromodynamics (QCD) as an example, we give various explicit calculations of variational and digital quantum simulations in the level of theories, classical trials, or quantum simulators from IBM, including adiabatic state preparation, variational quantum eigensolver, imaginary time evolution, and quantum Lanczos algorithm. Our work shows that quantum computation could not only help us understand fundamental physics in the lattice approximation, but also simulate quantum field theory methods directly, which are widely used in particle and nuclear physics, sharpening the statement of the quantum Church-Turing Thesis.

Item Type:Article
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URLURL TypeDescription Paper
Liu, Junyu0000-0003-1669-8039
Additional Information:© 2020 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received 14 August 2020; Accepted 19 October 2020; Published 02 December 2020. We thank Fernando Brandao, Alex Buser, Cliff Cheung, Liam Fitzpatrick, Hrant Gharibyan, Alexandru Gheorghiu, Masanori Hanada, Masazumi Honda, Emanuel Katz, Isaac Kim, Henry Lamm, Peter Love, Ashley Milsted, John Preskill, Burak Sahinoglu, David Simmons-Duffin, Ning Su, Yuan Su, Chong Sun, Jinzhao Sun, Guifre Vidal, Xiao Yuan, Qi Zhao and You Zhou for related discussions. We thank Nikhil Anand, Liam Fitzpatrick, Emanuel Katz, Zuhair Khandker, Matthew Walters for letting us use some preliminary results in the LCT formulation of 2D QCD. We thank the Simons collaboration annual meetings It from qubit and Non-perturbative bootstrap for inspiring talks and exciting environment in 2019, where this work has been initiated. JL is supported in part by the Institute for Quantum Information and Matter (IQIM), an NSF Physics Frontiers Center (NSF Grant PHY-1125565) with support from the Gordon and Betty Moore Foundation (GBMF-2644), by the Walter Burke Institute for Theoretical Physics, and by Sandia Quantum Optimization & Learning & Simulation, DOE Award #DE-NA0003525.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationGBMF-2644
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Department of Energy (DOE)DE-NA0003525
Subject Keywords:Conformal Field Theory; Field Theories in Lower Dimensions; Lattice Quantum Field Theory
Issue or Number:12
Record Number:CaltechAUTHORS:20201214-134008056
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Official Citation:Liu, J., Xin, Y. Quantum simulation of quantum field theories as quantum chemistry. J. High Energ. Phys. 2020, 11 (2020).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:107074
Deposited By: Tony Diaz
Deposited On:14 Dec 2020 21:48
Last Modified:16 Nov 2021 18:59

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