ON CLASSES OF LOCAL UNITARY TRANSFORMATIONS
ON CLASSES OF LOCAL UNITARY TRANSFORMATIONS
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DOI：
10.1142/s1005386712000181
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发表时间：
2008-08
期刊：
影响因子：
--
通讯作者：
N. Jing
中科院分区：
文献类型：
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作者：
N. Jing
给出了局部酉不变性下密度矩阵类与酉群的双陪集之间的一一对应。我们证明了局域幺正等价多体混合态类之间的相互关系与本征值的实际值无关，只依赖于本征值的重数。本文还讨论了酉群的齐性空间的解释。
We give a one-to-one correspondence between classes of density matrices under local unitary invariance and the double cosets of unitary groups. We show that the interrelationship among classes of local unitary equivalent multi-partite mixed states is independent from the actual values of the eigenvalues and only depends on the multiplicities of the eigenvalues. The interpretation in terms of homogeneous spaces of unitary groups is also discussed.