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

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

2008-01-11

arxiv.org/abs/0801.1704v1

Int. J. Quant. Inform. 5(2007)795-803

Physics

Quantum Physics

11 pages

Scientific paper

10.1142/S0219749907003262

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.

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