Light-Front Field Theory on Current Quantum Computers

We present a quantum algorithm for simulation of quantum field theory in the light-front formulation and demonstrate how existing quantum devices can be used to study the structure of bound states in relativistic nuclear physics. Specifically, we apply the Variational Quantum Eigensolver algorithm t...

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Main Authors: Michael Kreshchuk, Shaoyang Jia, William M. Kirby, Gary Goldstein, James P. Vary, Peter J. Love
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/23/5/597
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author Michael Kreshchuk
Shaoyang Jia
William M. Kirby
Gary Goldstein
James P. Vary
Peter J. Love
author_facet Michael Kreshchuk
Shaoyang Jia
William M. Kirby
Gary Goldstein
James P. Vary
Peter J. Love
author_sort Michael Kreshchuk
collection DOAJ
description We present a quantum algorithm for simulation of quantum field theory in the light-front formulation and demonstrate how existing quantum devices can be used to study the structure of bound states in relativistic nuclear physics. Specifically, we apply the Variational Quantum Eigensolver algorithm to find the ground state of the light-front Hamiltonian obtained within the Basis Light-Front Quantization (BLFQ) framework. The BLFQ formulation of quantum field theory allows one to readily import techniques developed for digital quantum simulation of quantum chemistry. This provides a method that can be scaled up to simulation of full, relativistic quantum field theories in the quantum advantage regime. As an illustration, we calculate the mass, mass radius, decay constant, electromagnetic form factor, and charge radius of the pion on the IBM Vigo chip. This is the first time that the light-front approach to quantum field theory has been used to enable simulation of a real physical system on a quantum computer.
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spelling doaj.art-b791d2cd31d245a9a55f80175a4ea9cc2023-11-21T19:27:05ZengMDPI AGEntropy1099-43002021-05-0123559710.3390/e23050597Light-Front Field Theory on Current Quantum ComputersMichael Kreshchuk0Shaoyang Jia1William M. Kirby2Gary Goldstein3James P. Vary4Peter J. Love5Department of Physics and Astronomy, Tufts University, Medford, MA 02155, USADepartment of Physics and Astronomy, Iowa State University, Ames, IA 50011, USADepartment of Physics and Astronomy, Tufts University, Medford, MA 02155, USADepartment of Physics and Astronomy, Tufts University, Medford, MA 02155, USADepartment of Physics and Astronomy, Iowa State University, Ames, IA 50011, USADepartment of Physics and Astronomy, Tufts University, Medford, MA 02155, USAWe present a quantum algorithm for simulation of quantum field theory in the light-front formulation and demonstrate how existing quantum devices can be used to study the structure of bound states in relativistic nuclear physics. Specifically, we apply the Variational Quantum Eigensolver algorithm to find the ground state of the light-front Hamiltonian obtained within the Basis Light-Front Quantization (BLFQ) framework. The BLFQ formulation of quantum field theory allows one to readily import techniques developed for digital quantum simulation of quantum chemistry. This provides a method that can be scaled up to simulation of full, relativistic quantum field theories in the quantum advantage regime. As an illustration, we calculate the mass, mass radius, decay constant, electromagnetic form factor, and charge radius of the pion on the IBM Vigo chip. This is the first time that the light-front approach to quantum field theory has been used to enable simulation of a real physical system on a quantum computer.https://www.mdpi.com/1099-4300/23/5/597quantum simulationrelativistic bound stateshadronsmesonsBLFQlight-front
spellingShingle Michael Kreshchuk
Shaoyang Jia
William M. Kirby
Gary Goldstein
James P. Vary
Peter J. Love
Light-Front Field Theory on Current Quantum Computers
Entropy
quantum simulation
relativistic bound states
hadrons
mesons
BLFQ
light-front
title Light-Front Field Theory on Current Quantum Computers
title_full Light-Front Field Theory on Current Quantum Computers
title_fullStr Light-Front Field Theory on Current Quantum Computers
title_full_unstemmed Light-Front Field Theory on Current Quantum Computers
title_short Light-Front Field Theory on Current Quantum Computers
title_sort light front field theory on current quantum computers
topic quantum simulation
relativistic bound states
hadrons
mesons
BLFQ
light-front
url https://www.mdpi.com/1099-4300/23/5/597
work_keys_str_mv AT michaelkreshchuk lightfrontfieldtheoryoncurrentquantumcomputers
AT shaoyangjia lightfrontfieldtheoryoncurrentquantumcomputers
AT williammkirby lightfrontfieldtheoryoncurrentquantumcomputers
AT garygoldstein lightfrontfieldtheoryoncurrentquantumcomputers
AT jamespvary lightfrontfieldtheoryoncurrentquantumcomputers
AT peterjlove lightfrontfieldtheoryoncurrentquantumcomputers