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MiS Preprint

Representation Class and Geometrical Invariants of Quantum States under Local Unitary Transformations

Zuhuan Yu, Xianqing Li-Jost and Shao-Ming Fei


We investigate the equivalence of bipartite quantum mixed states under local unitary transformations by introducing representation classes from a geometrical approach. It is shown that two bipartite mixed states are equivalent under local unitary transformations if and only if they have the same representation class. Detailed examples are given on calculating representation classes.

03.67.-a, 02.20.Hj, 03.65.-w
Schmidt decomposition, Bipartite mixed state, Local invariant, Representation class

Related publications

2007 Repository Open Access
Zu-Huan Yu, Xianqing Li-Jost and Shao-Ming Fei

Representation class and geometrical invariants of quantum states under local unitary transformations

In: International journal of quantum information, 5 (2007) 6, pp. 795-803