论文标题
用旋转编码量子
Encoding a qubit in a spin
论文作者
论文摘要
我提出了一种设计量子错误校正代码的新方法，该代码可以保证Clifford操作的物理自然实现。受到Gottesman，Kitaev和Preskill提出的振荡器编码振荡器中量子的启发的灵感，该计划可以通过高斯单位人士进行Clifford操作，从而产生新方案，用于编码大型旋转中的Qubit，以通过Spatial Rotations进行大型旋转，其中单个单Qubit Clifford操作可以通过Spatial Rotations进行。我构建了此类代码的所有可能示例，使用最多二次的Hamiltonians提供了通用的Gate-stet实现，这些哈密顿量在角度摩托车运算符中最多是二次的，并为这些代码完全正确地相关的物理相关噪声通道达到最低顺序而得出了标准，从而在数值上说明了其在数值上的性能。
I present a new approach for designing quantum error-correcting codes that guarantees a physically natural implementation of Clifford operations. Inspired by the scheme put forward by Gottesman, Kitaev, and Preskill for encoding a qubit in an oscillator, in which Clifford operations may be performed via Gaussian unitaries, this approach yields new schemes for encoding a qubit in a large spin in which single-qubit Clifford operations may be performed via spatial rotations. I construct all possible examples of such codes, provide universal-gate-set implementations using Hamiltonians that are at most quadratic in angular-momentum operators, and derive criteria for when these codes exactly correct physically relevant noise channels to lowest order, illustrating their performance numerically for specific low-dimensional examples.
