Character of Locally Inequivalent Classes of States and Entropy of Entanglement

Details Character of Locally Inequivalent Classes of States and Entropy of Entanglement Character of Locally Inequivalent Classes of States and Entropy of Entanglement

2008-04-26

arxiv.org/abs/0804.4243v1

Phys. Rev. A 77, 050305(R) (2008)

Physics

Quantum Physics

4 pages, revtex4, no figure, accepted in Physical Review A (rapid communications)

Scientific paper

10.1103/PhysRevA.77.050305

In this letter we have established the physical character of pure bipartite states with the same amount of entanglement in the same Schmidt rank that either they are local unitarily connected or they are incomparable. There exist infinite number of deterministically locally inequivalent classes of pure bipartite states in the same Schmidt rank (starting from three) having same amount of entanglement. Further, if there exists incomparable states with same entanglement in higher Schmidt ranks (greater than three), then they should differ in at least three Schmidt coefficients.

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