arXiv quant-ph/99101241999-10quant-ph

最佳纯化程序的速率

The Rate of Optimal Purification procedures

M. Keyl, R. F. Werner

备注：: LaTeX2e, 24 pages, 4 figures

摘要：

净化是一个过程，其中通过使用几个输入系统，已受到相同的噪声去相干部分逆转。输出的纯度通常随着输入系统的数量而增加，并且随着所需输出系统的数量而减少。我们构造了这个任务的最佳量子操作，并讨论了它们的渐近行为的输入的数量趋于无穷大。输出系统的生成速率主要取决于纯度要求的类型。如果一次测试一个输出系统的纯度，则速率是无限的：这种保真度可以接近1，而同时输出的数量任意快地达到无穷大。另一方面，如果还要求输出之间的相关性降低，则速率为零：如果纯产品状态的保真度为1，则每个输入的输出数量为零。然而，如果只需要接近1的保真度，则最佳净化器实现了我们计算的正速率。

英文摘要：

Purification is a process in which decoherence is partially reversed by using several input systems which have been subject to the same noise. The purity of the outputs generally increases with the number of input systems, and decreases with the number of required output systems. We construct the optimal quantum operations for this task, and discuss their asymptotic behaviour as the number of inputs goes to infinity. The rate at which output systems may be generated depends crucially on the type of purity requirement. If one tests the purity of the outputs systems one at a time, the rate is infinite: this fidelity may be made to approach 1, while at the same time the number of outputs goes to infinity arbitrarily fast. On the other hand, if one also requires the correlations between outputs to decrease, the rate is zero: if fidelity with the pure product state is to go to 1, the number of outputs per input goes to zero. However, if only a fidelity close to 1 is required, the optimal purifier achieves a positive rate, which we compute.

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英文摘要：

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