论文标题

(2+1)的实时仿真 - 量子位的维晶格理论

Real-time simulation of (2+1)-dimensional lattice gauge theory on qubits

论文作者

Yamamoto, Arata

论文摘要

我们研究了2+1个维度的Z2晶格量规理论的量子模拟。二元变量公式,即所谓的韦格纳二元性,用于降低冗余的自由度。对于任何电荷分布,解决了人工电荷的不保留问题。作为演示,我们用两个静态电荷(即使用两个暂时的Wilson线路)模拟了系统的实时演变。显示了量子计算机的模拟器(没有硬件噪声)和真实设备(具有相当大的硬件噪声)获得的一些结果。

We study the quantum simulation of Z2 lattice gauge theory in 2+1 dimensions. The dual variable formulation, the so-called Wegner duality, is utilized for reducing redundant gauge degrees of freedom. The problem of artificial charge unconservation is resolved for any charge distribution. As a demonstration, we simulate the real-time evolution of the system with two static electric charges, i.e., with two temporal Wilson lines. Some results obtained by the simulator (with no hardware noise) and the real device (with sizable hardware noise) of a quantum computer are shown.

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