%0 Journal Article %J Quantum Information and Computation %D 2011 %T Deciding Unitary Equivalence Between Matrix Polynomials and Sets of Bipartite Quantum States %A Chitambar, Eric %A Carl Miller %A Shi, Yaoyun %K matrix polynomials %K Schwartz-Zippel lemma %K unitary transformations %X
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