@article{
 title = {Deciding Unitary Equivalence Between Matrix Polynomials and Sets of Bipartite Quantum States},
 type = {article},
 year = {2011},
 pages = {0813-0819},
 volume = {11},
 websites = {http://arxiv.org/abs/1010.1018},
 id = {9da548cf-e66b-3dca-bb6c-35ad1961d52e},
 created = {2019-12-02T15:18:41.624Z},
 file_attached = {true},
 profile_id = {5ed10b2c-e6b8-3ad8-bec0-45bb1010ca06},
 last_modified = {2019-12-02T15:19:18.144Z},
 read = {false},
 starred = {false},
 authored = {true},
 confirmed = {true},
 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. $UA_iV^\dagger=B_i$ for $0\leq i\leq m$ where $U$ and $V$ are unitary and $(A_i, B_i)$ 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 $V$.},
 bibtype = {article},
 author = {Chitambar, Eric and Miller, Carl A. and Shi, Yaoyun},
 doi = {10.26421/QIC11.9-10},
 journal = {Quantum Information and Computation}
}

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