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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Published inThe journal of high energy physics Vol. 2021; no. 7; pp. 1 - 56
Main Authors Gharibyan, Hrant, Hanada, Masanori, Honda, Masazumi, Liu, Junyu
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2021
Springer Nature B.V
SpringerOpen
Subjects
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
Online AccessGet full text
ISSN1029-8479
1126-6708
1127-2236
1029-8479
DOI10.1007/JHEP07(2021)140

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Abstract 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.
AbstractList 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.
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.
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.
ArticleNumber 140
Author Honda, Masazumi
Hanada, Masanori
Gharibyan, Hrant
Liu, Junyu
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  surname: Gharibyan
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  organization: Walter Burke Institute for Theoretical Physics and Institute for Quantum Information and Matter, California Institute of Technology
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  givenname: Masanori
  surname: Hanada
  fullname: Hanada, Masanori
  organization: Department of Mathematics, University of Surrey, Yukawa Institute for Theoretical Physics, Kyoto University
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  givenname: Masazumi
  surname: Honda
  fullname: Honda, Masazumi
  organization: Yukawa Institute for Theoretical Physics, Kyoto University
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  givenname: Junyu
  surname: Liu
  fullname: Liu, Junyu
  organization: Walter Burke Institute for Theoretical Physics and Institute for Quantum Information and Matter, California Institute of Technology
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M(atrix) Theories
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Snippet A bstract We present a novel framework for simulating matrix models on a quantum computer. Supersymmetric matrix models have natural applications to...
We present a novel framework for simulating matrix models on a quantum computer. Supersymmetric matrix models have natural applications to superstring/M-theory...
Abstract We present a novel framework for simulating matrix models on a quantum computer. Supersymmetric matrix models have natural applications to...
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SubjectTerms 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
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Title Toward simulating superstring/M-theory on a quantum computer
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