论文标题
用于表示，操纵和纠正Gottesman-Kitaev-Preskill Qubits的相空间方法
Phase-space methods for representing, manipulating, and correcting Gottesman-Kitaev-Preskill qubits
论文作者
论文摘要
Gottesman-Kitaev-Preskill（GKP）编码量子模式为骨器模式是量子计算的有前途的玻璃体代码，因为其对噪声和全高斯门设置的耐受性。我们提出了一个用于GKP编码的相位空间描述和操纵的工具包，该工具包含适用于理想和近似GKP状态的Wigner函数，各种类型的混合GKP状态以及GKP编码的操作员。相位方法方法的一个优点是，使用GKP代码计算所需的高斯单位对应于Wigner函数参数的简单转换。我们使用这个事实和工具包来描述GKP误差校正，包括魔术状态准备，完全使用Wigner功能上的操作在相空间中。虽然我们的重点是Square-Lattice GKP代码，但我们为在任何晶格上定义的GKP代码提供了一个一般框架。
The Gottesman-Kitaev-Preskill (GKP) encoding of a qubit into a bosonic mode is a promising bosonic code for quantum computation due to its tolerance for noise and all-Gaussian gate set. We present a toolkit for phase-space description and manipulation of GKP encodings that includes Wigner functions for ideal and approximate GKP states, for various types of mixed GKP states, and for GKP-encoded operators. One advantage of a phase-space approach is that Gaussian unitaries, required for computation with GKP codes, correspond to simple transformations on the arguments of Wigner functions. We use this fact and our toolkit to describe GKP error correction, including magic-state preparation, entirely in phase space using operations on Wigner functions. While our focus here is on the square-lattice GKP code, we provide a general framework for GKP codes defined on any lattice.
