论文标题
量子代码需要多少纠缠?
How Much Entanglement Does a Quantum Code Need?
论文作者
论文摘要
在纠缠辅助量子误差校正代码(EAQECC)的情况下,发件人和接收器可以访问预共享纠缠。这样的代码有望更好的信息率或改善错误处理属性。纠缠会产生成本,并且必须在与其部署参数相对于其性能良好的量子代码时明智地校准。 重新审视已知的结构,我们设计了从经典编码理论的工具,以更好地了解如何改变纠缠的量。我们介绍了三个新的传播规则,并讨论了它们如何影响错误处理。表列出了我们可以明确构造的最佳性能量子和QUTRIT EAQECC的参数,以供参考和比较。
In the setting of entanglement-assisted quantum error-correcting codes (EAQECCs), the sender and the receiver have access to pre-shared entanglement. Such codes promise better information rates or improved error handling properties. Entanglement incurs costs and must be judiciously calibrated in designing quantum codes with good performance, relative to their deployment parameters. Revisiting known constructions, we devise tools from classical coding theory to better understand how the amount of entanglement can be varied. We present three new propagation rules and discuss how each of them affects the error handling. Tables listing the parameters of the best performing qubit and qutrit EAQECCs that we can explicitly construct are supplied for reference and comparison.