论文标题

通过量子计算机的字符扩展的Gluon数字化

Gluon Digitization via Character Expansion for Quantum Computers

论文作者

Ji, Yao, Lamm, Henry, Zhu, Shuchen

论文摘要

量规理论的量子模拟需要有效的数字化。基于离散子组的方案使用较小的固定数量Qubit,以系统错误为代价。我们通过将连续的组动作与通过组字符扩展相匹配的单个plaquette动作来对这种方法进行系统化,从而使场波波动贡献进行模范。我们伴随着该方案,以纯量规模拟$ su(3)$的最大离散晶体样子组,直至耦合常数的第五阶。

Efficient digitization is required for quantum simulations of gauge theories. Schemes based on discrete subgroups use a smaller, fixed number of qubits at the cost of systematic errors. We systematize this approach by deriving the single plaquette action through matching the continuous group action to that of a discrete one via group character expansions modulo the field fluctuation contributions. We accompany this scheme by simulations of pure gauge over the largest discrete crystal-like subgroup of $SU(3)$ up to the fifth-order in the coupling constant.

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