Quantum simulation of gauge theory via orbifold lattice
Quantum simulation of gauge theory via orbifold lattice
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DOI：
10.1007/jhep09(2021)034
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发表时间：
2020-11
影响因子：
5.4
通讯作者：
Alex Buser;H. Gharibyan;M. Hanada;Masazumi Honda;Junyu Liu
中科院分区：
文献类型：
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作者：
Alex Buser;H. Gharibyan;M. Hanada;Masazumi Honda;Junyu Liu
我们提出了一个在通用量子计算机上模拟U (k) Yang-Mills理论的新框架。这种构造使用了Kaplan， Katz和Unsal提出的轨道格公式，他们最初将其应用于超对称规范理论。我们提出的方法为量子场理论的量子模拟提供了一个新的视角，与通常的Kogut-Susskind公式相比具有一定的优势。我们讨论了我们的结构在计算Yang-Mills理论的静态特性和实时动力学中的应用，从胶球测量到AdS/CFT，利用各种量子信息技术，包括量子化，量子信号处理，Jordan-Lee-Preskill边界和阴影层析成像。对某些超对称杨-米尔斯理论的推广似乎是直截了当的，为通过全息二象性进行量子引力的量子模拟提供了一条途径。
We propose a new framework for simulating U (k) Yang-Mills theory on a universal quantum computer. This construction uses the orbifold lattice formulation proposed by Kaplan, Katz, and Unsal, who originally applied it to supersymmetric gauge theories. Our proposed approach yields a novel perspective on quantum simulation of quantum field theories, carrying certain advantages over the usual Kogut-Susskind formulation. We discuss the application of our constructions to computing static properties and real-time dynamics of Yang-Mills theories, from glueball measurements to AdS/CFT, making use of a variety of quantum information techniques including qubitization, quantum signal processing, Jordan-Lee-Preskill bounds, and shadow tomography. The generalizations to certain supersymmetric Yang-Mills theories appear to be straightforward, providing a path towards the quantum simulation of quantum gravity via holographic duality.