Bell对角量子态的渐近可校正性和最大可容忍误码率
Asymptotic correctability of Bell-diagonal quantum states and maximum tolerable bit error rates
摘要：
讨论了量子态纯化方案必须满足的一般条件，以便能够纯化Bell对角量子比特对态，只要它们包括将Bell对角态映射到Bell对角态的步骤，并且它们最终将适当选择的Calderbank-Shor-Steane码应用于这些步骤的结果。作为一个主要的结果渐近可校正的一个必要和充分条件，这涉及到这个问题的一个特征指数的大小控制位和相位误差之间的关系下的净化步骤。这些条件允许直接确定量子密钥分发协议的最大可容忍误码率，其安全性分析可以简化为Bell对角态的纯化。
英文摘要：
The general conditions are discussed which quantum state purification protocols have to fulfill in order to be capable of purifying Bell-diagonal qubit-pair states, provided they consist of steps that map Bell-diagonal states to Bell-diagonal states and they finally apply a suitably chosen Calderbank-Shor-Steane code to the outcome of such steps. As a main result a necessary and a sufficient condition on asymptotic correctability are presented, which relate this problem to the magnitude of a characteristic exponent governing the relation between bit and phase errors under the purification steps. These conditions allow a straightforward determination of maximum tolerable bit error rates of quantum key distribution protocols whose security analysis can be reduced to the purification of Bell-diagonal states.
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