Selected topics of quantum computing for nuclear physics

doi:10.1088/1674-1056/abd761

Abstract Nuclear physics, whose underling theory is described by quantum gauge field coupled with matter, is fundamentally important and yet is formidably challenge for simulation with classical computers. Quantum computing provides a perhaps transformative approach for studying and understanding nuclear physics. With rapid scaling-up of quantum processors as well as advances on quantum algorithms, the digital quantum simulation approach for simulating quantum gauge fields and nuclear physics has gained lots of attention. In this review, we aim to summarize recent efforts on solving nuclear physics with quantum computers. We first discuss a formulation of nuclear physics in the language of quantum computing. In particular, we review how quantum gauge fields (both Abelian and non-Abelian) and their coupling to matter field can be mapped and studied on a quantum computer. We then introduce related quantum algorithms for solving static properties and real-time evolution for quantum systems, and show their applications for a broad range of problems in nuclear physics, including simulation of lattice gauge field, solving nucleon and nuclear structures, quantum advantage for simulating scattering in quantum field theory, non-equilibrium dynamics, and so on. Finally, a short outlook on future work is given.

Keywords: quantum computing nuclear physics quantum field theory quantum simulation quantum algorithm

Received: 29 October 2020
Revised: 05 December 2020
Accepted manuscript online: 30 December 2020

PACS:	03.67.Ac	(Quantum algorithms, protocols, and simulations)
	21.60.-n	(Nuclear structure models and methods)

Fund: Project supported by the Key-Area Research and Development Program of GuangDong Province, China (Grant No. 2019B030330001), Guangdong Major Project of Basic and Applied Basic Research (Grant No. 2020B0301030008), the National Natural Science Foundation of China (Grant Nos. 12074180, 12005065, 12022512, and 12035007), the Key Project of Science and Technology of Guangzhou (Grant Nos. 201804020055 and 2019050001), and the National Key Research and Development Program of China (Grant No. 2016YFA0301800).

Corresponding Authors: ^†Corresponding author. E-mail: slzhu@nju.edu.cn

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Dan-Bo Zhang(张旦波), Hongxi Xing(邢宏喜), Hui Yan(颜辉), Enke Wang(王恩科), and Shi-Liang Zhu(朱诗亮) Selected topics of quantum computing for nuclear physics 2021 Chin. Phys. B 30 020306

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