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arXiv quant-ph/0110082quant-ph
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可互变纯态流形

Manifolds of interconvertible pure states

Magdalena M. Sinolecka, Karol Zyczkowski, Marek Kus

摘要:

本文分析了N × N二体量子系统纯态的局域轨道。我们计算它们的尺寸取决于施密特分解所产生的系数向量的退化。特别地,一般轨道有2N^2 -N-1维,可分离态的集合是4(N-1)维,而最大纠缠态的流形有N^2-1维。

英文摘要:

Local orbits of a pure state of an N x N bi-partite quantum system are analyzed. We compute their dimensions which depends on the degeneracy of the vector of coefficients arising by the Schmidt decomposition. In particular, the generic orbit has 2N^2 -N-1 dimensions, the set of separable states is 4(N-1) dimensional, while the manifold of maximally entangled states has N^2-1 dimensions.

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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