A Note on State Decomposition Independent Local Invariants

Published 23 Jul 2013 in quant-ph | (1307.6037v1)

Abstract: We derive a set of invariants under local unitary transformations for arbitrary dimensional quantum systems. These invariants are given by hyperdeterminants and independent from the detailed pure state decompositions of a given quantum state. They also give rise to necessary conditions for the equivalence of quantum states under local unitary transformations.

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