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Article overview
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Local unitary equivalence of quantum states and simultaneous orthogonal equivalence | Naihuan Jing
; Min Yang
; Hui Zhao
; | Date: |
1 May 2016 | Abstract: | The 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 | Services: | Forum | Review | PDF | Favorites |
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