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- W1565897310 abstract "In this brief report, we consider the equivalence between two sets of m + 1 bipartite quantum states under local unitary transformations. For pure states, this problem corresponds to the matrix algebra question of whether two degree m matrix polynomials are unitarily equivalent; i.e. UAiV† = Bi for 0 ≤ i ≤ m where U and V are unitary and (Ai, Bi) are arbitrary pairs of rectangular matrices. We present a randomized polynomial-time algorithm that solves this problem with an arbitrarily high success probability and outputs transforming matrices U and V." @default.
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- W1565897310 date "2011-09-01" @default.
- W1565897310 modified "2023-10-18" @default.
- W1565897310 title "Deciding unitary equivalence between matrix polynomials and sets of bipartite quantum states" @default.
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- W1565897310 doi "https://doi.org/10.5555/2230936.2230942" @default.
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