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08 February 2025
 
  » arxiv » 1605.0238

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Local unitary equivalence of quantum states and simultaneous orthogonal equivalence
Naihuan Jing ; Min Yang ; Hui Zhao ;
Date 1 May 2016
AbstractThe correspondence between local unitary equivalence of bipartite quantum states and simultaneous orthogonal equivalence is thoroughly investigated and strengthened. It is proved that local unitary equivalence can be studied through simultaneous similarity under projective orthogonal transformations, and four parametrization independent algorithms are proposed to judge when two density matrices on $mathbb C^{d_1}otimes mathbb C^{d_2}$ are locally unitary equivalent in connection with trace identities, Weierstrass pencils, Albert determinants and Smith normal forms.
Source arXiv, 1605.0238
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