Toward simulating superstring/M-theory on a quantum computer
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.
Additional Information
© 2021 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. Article funded by SCOAP3. Received: February 8, 2021; Revised: June 21, 2021; Accepted: July 5, 2021; Published: July 20, 2021. 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.Attached Files
Published - Gharibyan2021_Article_TowardSimulatingSuperstringM-t.pdf
Submitted - 2011.06573.pdf
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Additional details
- Eprint ID
- 106724
- Resolver ID
- CaltechAUTHORS:20201118-111200749
- Simons Foundation
- ST/R003599/1
- Science and Technology Facilities Council (STFC)
- Ministry of Education, Culture, Sports, Science and Technology (MEXT)
- Institute for Quantum Information and Matter (IQIM)
- PHY-1125565
- NSF
- GBMF-2644
- Gordon and Betty Moore Foundation
- Walter Burke Institute for Theoretical Physics, Caltech
- DE-NA0003525
- Department of Energy (DOE)
- SCOAP3
- Created
-
2020-11-18Created from EPrint's datestamp field
- Updated
-
2021-08-05Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
- Other Numbering System Name
- CALT-TH
- Other Numbering System Identifier
- 2020-013