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arXiv quant-ph/9803058quant-ph
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量子克隆与泡利通道的容量

Quantum cloning and the capacity of the Pauli channel

Nicolas J. Cerf

摘要:

介绍了一种量子克隆机,它从一个量子比特产生两个近似的副本,而每个副本的整体输入到输出操作是一个泡利通道。一个不可克隆不等式的推导,描述了两个副本的质量之间的平衡。这还提供了具有概率$p_x$、$p_y$和$p_z$的泡利信道的量子容量的上限。如果$(\sqrt{p_x},\sqrt{p_y},\sqrt{p_z})$位于一个椭圆体之外,其极点与通用克隆机的去极化通道重合,则容量将消失。

英文摘要:

A family of quantum cloning machines is introduced that produce two approximate copies from a single quantum bit, while the overall input-to-output operation for each copy is a Pauli channel. A no-cloning inequality is derived, describing the balance between the quality of the two copies. This also provides an upper bound on the quantum capacity of the Pauli channel with probabilities $p_x$, $p_y$ and $p_z$. The capacity is shown to be vanishing if $(\sqrt{p_x},\sqrt{p_y},\sqrt{p_z})$ lies outside an ellipsoid whose pole coincides with the depolarizing channel that underlies the universal cloning machine.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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