论文标题
连续变量代码的大统一
Grand Unification of continuous-variable codes
论文作者
论文摘要
连续变量中的量子误差校正代码（也称为CV代码或单模纤维码代码）最近被确定为用于构建容忍故障量子计算机的技术上可行的选择。最著名的示例是GKP代码和CAT代码，这两者都在任何离散变量或Qubit代码上都具有一些有利的属性。最近显示，CAT代码以及其他类型的CV代码属于一组具有称为旋转对称代码的常见属性的代码。我们通过对具有共同属性的一组代码组的一般描述来扩展结果，并可以将它们相互映射到彼此之间，从而有效地创建了连续可变代码的统一描述。我们证明，所有这些代码集的属性可以从GKP代码的属性中获得。在旋转对称代码，重新衍生已知属性并找到新的属性的情况下，我们还明确地表明了这种构建的工作原理。
Quantum error correction codes in continuous variables (also called CV codes, or single-mode bosonic codes) have recently been identified to be a technologically viable option for building fault-tolerant quantum computers. The best-known examples are the GKP code and the cat-code, both of which were shown to have some advantageous properties over any discrete-variable, or qubit codes. It was recently shown that the cat-code, as well as other kinds of CV codes, belong to a set of codes with common properties called rotation-symmetric codes. We expand this result by giving a general description of sets of codes with common properties, and rules by which they can be mapped into one another, effectively creating a unified description of continuous-variable codes. We prove that the properties of all of these sets of codes can be obtained from the properties of the GKP code. We also show explicitly how this construction works in the case of rotation-symmetric codes, re-deriving known properties and finding new ones.
