On classes of local unitary transformations

Details On classes of local unitary transformations On classes of local unitary transformations

2008-08-25

arxiv.org/abs/0808.3298v2

Alg. Colloq. 19, No. 2 (2012) 283--292

Physics

Quantum Physics

10 pages. Added Figure and modified Ex

Scientific paper

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.

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