Solving hadron structures using the basis light-front quantization approach on quantum computers

Quantum computing has demonstrated the potential to revolutionize our understanding of nuclear, atomic, and molecular structure by obtaining forefront solutions in non-relativistic quantum many-body theory. In this work, we show that quantum computing can be used to solve for the structure of hadron...

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Bibliographic Details
Published in:arXiv.org 2022-10
Main Authors: Qian, Wenyang, Basili, Robert, Pal, Soham, Luecke, Glenn, Vary, James P
Format: Article
Language:English
Subjects:
Atomic structure
Decay rate
Distribution functions
Field theory
Hadrons
Mesons
Molecular structure
Particle decay
Partons
Quantum computing
Quantum field theory
Quantum theory
Relativistic effects
Relativistic theory
Simulation
Wave functions
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Summary:Quantum computing has demonstrated the potential to revolutionize our understanding of nuclear, atomic, and molecular structure by obtaining forefront solutions in non-relativistic quantum many-body theory. In this work, we show that quantum computing can be used to solve for the structure of hadrons, governed by strongly-interacting relativistic quantum field theory. Following our previous work on light unflavored mesons as a relativistic bound-state problem within the nonperturbative Hamiltonian formalism, we present the numerical calculations on simulated quantum devices using the basis light-front quantization (BLFQ) approach. We implement and compare the variational quantum eigensolver (VQE) and the subspace-search variational quantum eigensolver (SSVQE) to find the low-lying mass spectrum of the light meson system and its corresponding light-front wave functions as quantum states from ideal simulators, noisy simulators, and IBM quantum computers. Based on obtained quantum states, we evaluate the meson decay constants and parton distribution functions directly on the quantum circuits. Our calculations on the quantum computers and simulators are in reasonable agreement with accurate numerical solutions solved on classical computers when noises are moderately small, and our overall results are comparable with the available experimental data.
ISSN:2331-8422
DOI:10.48550/arxiv.2112.01927