论文标题
代数量子代码:链接量子力学和离散数学
Algebraic Quantum Codes: Linking Quantum Mechanics and Discrete Mathematics
论文作者
论文摘要
我们提出了一个量子误差校正代码(QECC)作为复杂希尔伯特空间和相应误差模型的子空间的一般框架。然后,我们说明如何使用代数编码理论的技术可以构建QECC。此外,我们讨论了QECC的次要结构,从而导致QECC参数的传播规则。
We present a general framework of quantum error-correcting codes (QECCs) as a subspace of a complex Hilbert space and the corresponding error models. Then we illustrate how QECCs can be constructed using techniques from algebraic coding theory. Additionally, we discuss secondary constructions for QECCs, leading to propagation rules for the parameters of QECCs.