论文标题
通过Orbifold晶格对量规理论的量子模拟
Quantum simulation of gauge theory via orbifold lattice
论文作者
论文摘要
我们提出了一个新框架，用于模拟通用量子计算机上的$ \ text {u}（k）$ yang-mills理论。该结构使用了Kaplan，Katz和Unsal提出的Orbifold晶格配方，后者最初将其应用于超对称仪表理论。我们提出的方法对量子场理论的量子模拟产生了一种新的观点，比通常的Kogut-susskind配方具有某些优势。我们讨论了我们的构造在计算静态特性和Yang-Mills理论的实时动力学中的应用，从粘合球测量到ADS/CFT，利用了各种量子信息技术，包括Qubitization，Quantum信号处理，Jordan-Lee-Lee-Preskill界限。对某些超对称阳米尔理论的概括似乎很简单，这为通过全息二元性提供了量子重力模拟的途径。
We propose a new framework for simulating $\text{U}(k)$ 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.
