论文标题

核物理量子计算的选定主题

Selected topics of quantum computing for nuclear physics

论文作者

Zhang, Dan-Bo, Xing, Hongxi, Yan, Hui, Wang, Enke, Zhu, Shi-Liang

论文摘要

核物理学的底层理论是由量子规场和物质结合的量子量规场来描述的,它在根本上是重要的,但对于使用古典计算机进行仿真而言是巨大的挑战。量子计算为研究和理解核物理学提供了一种变革性的方法。随着量子处理器的快速扩展以及量子算法的进步,用于模拟量子压力表和核物理学的数字量子模拟方法已获得了许多关注。在这篇综述中,我们旨在总结使用量子计算机解决核物理学的最新努力。我们首先在量子计算的语言中讨论核物理学的表述。特别是,我们回顾了如何在量子计算机上映射和研究其与物质场与物质场的耦合如何及其与物质场的耦合。然后,我们引入了相关的量子算法,以求解量子系统的静态性能和实时演变,并显示了它们在核物理学中的广泛问题(包括晶格量规场的模拟,求解核子和核结构),量子优势,用于在量子场理论中模拟散射,非平衡动力学等。最后,给出了未来工作的简短展望。

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 attentions. 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 its 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 structure, quantum advantage for simulating scattering in quantum field theory, non-equilibrium dynamics, and so on. Finally, a short outlook on future work is given.

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