最佳克隆和单态一夫一妻制
Optimal Cloning and Singlet Monogamy
摘要：
无法产生未知状态的两个完美副本与无法在多个自旋之间产生最大纠缠有着内在的联系。尽管如此，在自旋之间可以产生多少纠缠（称为一夫一妻制）与未知状态可以克隆的程度之间没有定量联系。通过给出一组充分条件来补救这种情况，使得最优完全正映射可以实现为到标准参考状态的隐形传态操作。d维自旋的任意1到N不对称克隆的情况可以精确地解决，产生“单重单偶”的概念。通过计算海森堡系统的性质，并将其与标准一夫一妻制的结果进行对比，证明了这种关系的实用性。
英文摘要：
The inability to produce two perfect copies of an unknown state is inherently linked with the inability to produce maximal entanglement between multiple spins. Despite this, there is no quantitative link between how much entanglement can be generated between spins (known as monogamy), and how well an unknown state can be cloned. This situation is remedied by giving a set of sufficient conditions such that the optimal Completely Positive map can be implemented as a teleportation operation into a standard, reference, state. The case of arbitrary 1 to N asymmetric cloning of d-dimensional spins can then be solved exactly, yielding the concept of `singlet monogamy'. The utility of this relation is demonstrated by calculating properties of Heisenberg systems, and contrasting them with the results from standard monogamy arguments.
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。
