量子信息传输可靠性的基本界限
Fundamental bound on the reliability of quantum information transmission
摘要：
信息论告诉我们，如果通过噪声信道发送信息的速率高于该信道的容量，那么传输必然是不可靠的。对于通过经典或量子信道发送的经典信息，在某些条件下，可以做出更强的声明，即传输的可靠性将随着信道使用的次数呈指数衰减到零，并且该声明的证明通常依赖于传输可靠性的某个基本界限。对于发送量子信息，从来没有给出这样的陈述或界限。我们给出这个界限，然后用它来给出第一个例子，其中以高于容量的速率发送量子信息的可靠性按指数衰减到零。我们还表明，我们的框架可以用来证明广义界的可靠性。
英文摘要：
Information theory tells us that if the rate of sending information across a noisy channel were above the capacity of that channel, then the transmission would necessarily be unreliable. For classical information sent over classical or quantum channels, one could, under certain conditions, make a stronger statement that the reliability of the transmission shall decay exponentially to zero with the number of channel uses and the proof of this statement typically relies on a certain fundamental bound on the reliability of the transmission. Such a statement or the bound has never been given for sending quantum information. We give this bound and then use it to give the first example where the reliability of sending quantum information at rates above the capacity decays exponentially to zero. We also show that our framework can be used for proving generalized bounds on the reliability.
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