@article{
 title = {Deciding unitary equivalence between matrix polynomials and sets of bipartite quantum states},
 type = {article},
 year = {2011},
 keywords = {H zbinden,Matrix polynomials,Schwartz-zippel lemma communicated by: S braunstei,Unitary transformations},
 volume = {11},
 id = {47f31127-0f1a-3734-9de4-a259ab05f43a},
 created = {2020-08-20T19:55:40.263Z},
 file_attached = {false},
 profile_id = {889ca0d7-cd8b-3818-bafe-550deb56f3f0},
 last_modified = {2020-08-20T19:55:40.263Z},
 read = {false},
 starred = {false},
 authored = {true},
 confirmed = {false},
 hidden = {false},
 private_publication = {false},
 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. © Rinton Press.},
 bibtype = {article},
 author = {Chitambar, E. and Miller, C.A. and Shi, Y.},
 journal = {Quantum Information and Computation},
 number = {9-10}
}

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