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Toward simulating Superstring/M-theory on a quantum computer

Gharibyan, Hrant and Hanada, Masanori and Honda, Masazumi and Liu, Junyu (2020) Toward simulating Superstring/M-theory on a quantum computer. . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20201118-111200749

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Abstract

We present a novel framework for simulating matrix models on a quantum computer. Supersymmetric matrix models have natural applications to superstring/M-theory and gravitational physics, in an appropriate limit of parameters. Furthermore, for certain states in the Berenstein-Maldacena-Nastase (BMN) matrix model, several supersymmetric quantum field theories dual to superstring/M-theory can be realized on a quantum device. Our prescription consists of four steps: regularization of the Hilbert space, adiabatic state preparation, simulation of real-time dynamics, and measurements. Regularization is performed for the BMN matrix model with the introduction of energy cut-off via the truncation in the Fock space. We use the Wan-Kim algorithm for fast digital adiabatic state preparation to prepare the low-energy eigenstates of this model as well as thermofield double state. Then, we provide an explicit construction for simulating real-time dynamics utilizing techniques of block-encoding, qubitization, and quantum signal processing. Lastly, we present a set of measurements and experiments that can be carried out on a quantum computer to further our understanding of superstring/M-theory beyond analytic results.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/2011.06573arXivDiscussion Paper
ORCID:
AuthorORCID
Liu, Junyu0000-0003-1669-8039
Additional Information:We thank Dominic Berry, Alex Buser, Andrew Childs, Raghav Jha, Isaac Kim, Alexei Kitaev, Andras Gilyen, Alexey Milekhin, John Preskill, Douglas Stanford, Fumihiko Sugino and Kianna Wan for related discussions. We specifically thank Yuan Su for his comments on the draft. H.G. is supported by the Simons Foundation through the It from Qubit collaboration. M. Hanada was supported by the STFC Ernest Rutherford Grant ST/R003599/1. He also thanks Yukawa Institute for Theoretical Physics for hospitality during his stay in the summer of 2020. M. Honda is supported by MEXT Q-LEAP. 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:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Simons FoundationUNSPECIFIED
Science and Technology Facilities Council (STFC)ST/R003599/1
NSFPHY-1125565
Gordon and Betty Moore Foundation2644
Department of Energy (DOE)DE-NA0003525
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2020-013
Record Number:CaltechAUTHORS:20201118-111200749
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20201118-111200749
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106724
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:18 Nov 2020 19:39
Last Modified:18 Nov 2020 19:39

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