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  • Letter
  • Open Access

Partonic collinear structure by quantum computing

Tianyin Li1,2, Xingyu Guo1,2, Wai Kin Lai1,2,3, Xiaohui Liu4,5, Enke Wang1,2,*, Hongxi Xing1,2,†, Dan-Bo Zhang6,7,‡, and Shi-Liang Zhu6,7,§ (QuNu Collaboration)

  • 1Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China
  • 2Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Southern Nuclear Science Computing Center, South China Normal University, Guangzhou 510006, China
  • 3Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA
  • 4Center of Advanced Quantum Studies, Department of Physics, Beijing Normal University, Beijing 100875, China
  • 5Center for High Energy Physics, Peking University, Beijing 100871, China
  • 6Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Frontier Research Institute for Physics, South China Normal University, Guangzhou 510006, China
  • 7Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006, China

  • *wangek@scnu.edu.cn
  • †hxing@m.scnu.edu.cn
  • ‡dbzhang@m.scnu.edu.cn
  • §slzhu@scnu.edu.cn
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Phys. Rev. D 105, L111502 – Published 13 June, 2022

DOI: https://doi.org/10.1103/PhysRevD.105.L111502

Abstract

We present a systematic quantum algorithm, which integrates both the hadronic state preparation and the evaluation of real-time light-front correlators, to study parton distribution functions (PDFs). As a proof of concept, we demonstrate the first direct simulation of the PDFs in the 1+1 dimensional Nambu-Jona-Lasinio model. We show the results obtained by exact diagonalization and by quantum computation using classical hardware. The agreement between these two distinct methods and the qualitative consistency with QCD PDFs validate the proposed quantum algorithm. Our work suggests the encouraging prospects of calculating QCD PDFs on current and near-term quantum devices. The presented quantum algorithm is expected to have many applications in high energy particle and nuclear physics.

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Information

Phys. Rev. D 105, L111502– Published 13 June, 2022
  • Received 21 June 2021
  • Revised 19 February 2022
  • Accepted 26 May 2022
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