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Quantum simulation of cosmic inflation

Liu, Junyu and Li, Yue-Zhou (2021) Quantum simulation of cosmic inflation. Physical Review D, 104 (8). Art. No. 086013. ISSN 2470-0010. doi:10.1103/physrevd.104.086013.

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In this paper, we generalize Jordan-Lee-Preskill, an algorithm for simulating flat-space quantum field theories, to 3+1 dimensional inflationary spacetime. The generalized algorithm contains the encoding treatment, the initial state preparation, the inflation process, and the quantum measurement of cosmological observables at late time. The algorithm is helpful for obtaining predictions of cosmic non-Gaussianities, serving as useful benchmark problems for quantum devices, and checking assumptions made about interacting vacuum in the inflationary perturbation theory. Components of our work also include a detailed discussion about the lattice regularization of the cosmic perturbation theory, a detailed discussion about the in-in formalism, a discussion about encoding using the Hamilton-Kabat-Lifschytz-Lowe-type formula that might apply for both dS and AdS spacetimes, a discussion about bounding curvature perturbations, a description of the three-party Trotter simulation algorithm for time-dependent Hamiltonians, a ground state projection algorithm for simulating gapless theories, a discussion about the quantum-extended Church-Turing thesis, and a discussion about simulating cosmic reheating in quantum devices.

Item Type:Article
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URLURL TypeDescription Paper
Liu, Junyu0000-0003-1669-8039
Alternate Title:On Quantum Simulation Of Cosmic Inflation
Additional Information:© 2021 American Physical Society. (Received 14 October 2020; accepted 30 August 2021; published 5 October 2021) We thank Robert Brandenberger, Alex Buser, Cliff Cheung, Hrant Gharibyan, Masanori Hanada, Jim Hartle, Masazumi Honda, Isaac Kim, Hank Lamm, Ying-Ying Li, Don Marolf, David Meltzer, Ash Milsted, John Preskill, Burak Sahinoglu, Eva Silverstein, David Simmons-Duffin, Yuan Su, Jinzhao Sun, Guifre Vidal, Dong-Gang Wang, Yi Wang, Mark Wise, Zhong-Zhi Xianyu, and Xiao Yuan for discussions related to this paper. J. L. is supported in part by the Institute for Quantum Information and Matter (IQIM), an NSF Physics Frontiers Center (NSF Grant No. PHY-1125565) with support from the Gordon and Betty Moore Foundation (GBMF-2644), and by the Walter Burke Institute for Theoretical Physics.
Group:Walter Burke Institute for Theoretical Physics, Institute for Quantum Information and Matter
Funding AgencyGrant Number
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationGBMF-2644
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Issue or Number:8
Record Number:CaltechAUTHORS:20211014-212144221
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:111453
Deposited By: George Porter
Deposited On:18 Oct 2021 19:40
Last Modified:18 Oct 2021 19:40

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