Majorization and the interconversion of bipartite states
Majorization and the interconversion of bipartite states
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DOI：
10.26421/qic1.1-5
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
M. Nielsen;G. Vidal
中科院分区：
文献类型：
--
作者：
M. Nielsen;G. Vidal
优超化是一个强大的，易于使用的和灵活的工具，经常出现在量子力学作为一个结果之间的基本联系的幺正性和优超化关系。纠缠理论也没有摆脱它的影响。因此，通过局部操纵的两体纯态的相互转换在很大程度上被优序关系所支配。这篇评论既介绍了一些元素的优控制理论，并介绍了最近的结果对二体纠缠变换，特别强调被放在解释这两个主题之间的联系。后者意味着分析量子力学的另外两个方面，即量子态的混合问题和量子测量的表征。
Majorization is a powerful, easy-to-use and flexible tool which arises frequently in quantum mechanics as a consequence of fundamental connections between unitarity and the majorization relation. Entanglement theory does not escape from its influence. Thus the interconversion of bipartite pure states by means of local manipulations turns out to be ruled to a great extend by majorization relations. This review both introduces some elements of majorization theory and describes recent results on bipartite entanglement transformations, with special emphasis being placed on explaining the connections between these two topics. The latter implies analyzing two other aspects of quantum mechanics similarly influenced by majorization, namely the problem of mixing of quantum states and the characterization of quantum measurement.