论文标题
用动力学物质进行量子和经典计算的动态物质的无冗余配方
A gauge redundancy-free formulation of compact QED with dynamical matter for quantum and classical computations
论文作者
论文摘要
我们介绍了一种表达紧凑型量子电动力学的方法，并以量规无冗余方式在二维和三维空间晶格上进行动力学物质，同时保持翻译不变性。通过转换为旋转框架，即物质与量规约束分解的旋转框架，我们可以用双运算符表达量规场运算符。在两个空间维度中，双表示完全不受任何局部约束。在三个空间维度中，双重操作员之间的局部限制仍然存在，但仅涉及自由度范围的自由度（而不是自由度的物质）。这些降低所需的希尔伯特空间维度的公式对于数值（经典）哈密顿计算和量子模拟或计算都可能是有用的。
We introduce a way to express compact quantum electrodynamics with dynamical matter on two- and three-dimensional spatial lattices in a gauge redundancy-free manner while preserving translational invariance. By transforming to a rotating frame, where the matter is decoupled from the gauge constraints, we can express the gauge field operators in terms of dual operators. In two space dimensions, the dual representation is completely free of any local constraints. In three space dimensions, local constraints among the dual operators remain but involve only the gauge field degrees of freedom (and not the matter degrees of freedom). These formulations, which reduce the required Hilbert space dimension, could be useful for both numerical (classical) Hamiltonian computations and quantum simulation or computation.
