Toward simulating superstring/M-theory on a quantum computer

A bstract 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-Nast...

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Veröffentlicht in:The journal of high energy physics Jg. 2021; H. 7; S. 1 - 56
Hauptverfasser: Gharibyan, Hrant, Hanada, Masanori, Honda, Masazumi, Liu, Junyu
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2021
Springer Nature B.V
SpringerOpen
Schlagworte:
Adiabatic flow
Algorithms
Black Holes in String Theory
Classical and Quantum Gravitation
Eigenvectors
Elementary Particles
Gravitation theory
High energy physics
Hilbert space
M theory
M(atrix) Theories
Physics
Physics and Astronomy
Quantum computers
Quantum computing
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Real time
Regular Article - Theoretical Physics
Regularization
Relativity Theory
Signal processing
Simulation
String Theory
Supersymmetry
Time measurement
Black Holes in String Theory
M(atrix) Theories
M-Theory
ISSN:1029-8479, 1029-8479
Online-Zugang:Volltext
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Zusammenfassung:A bstract 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.
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP07(2021)140