Character of Locally Inequivalent Classes of States and Entropy of Entanglement
arXiv:0804.4243 · doi:10.1103/PhysRevA.77.050305
Abstract
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.
arXiv comment4 pages, revtex4, no figure, accepted in Physical Review A (rapid communications)
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