scholarly journals How many invariant polynomials are needed to decide local unitary equivalence of qubit states?

2013 ◽  
Vol 54 (9) ◽  
pp. 092201 ◽  
Author(s):  
Tomasz Maciążek ◽  
Michał Oszmaniec ◽  
Adam Sawicki
Keyword(s):  
Unitary Equivalence ◽  
Invariant Polynomials ◽  
Local Unitary Equivalence ◽  
Qubit States

scholarly journals On Local Unitary Equivalence of Two and Three-qubit States

2017 ◽  
Vol 7 (1) ◽  
Author(s):  
Bao-Zhi Sun ◽  
Shao-Ming Fei ◽  
Zhi-Xi Wang
Keyword(s):  
Unitary Equivalence ◽  
Local Unitary Equivalence ◽  
Qubit States

scholarly journals Local unitary equivalence of arbitrary dimensional bipartite quantum states

2012 ◽  
Vol 86 (1) ◽  
Author(s):  
Chunqin Zhou ◽  
Ting-Gui Zhang ◽  
Shao-Ming Fei ◽  
Naihuan Jing ◽  
Xianqing Li-Jost
Keyword(s):  
Quantum States ◽  
Unitary Equivalence ◽  
Local Unitary Equivalence

scholarly journals Symmetric states: local unitary equivalence via stabilizers

2010 ◽  
Vol 10 (11&12) ◽  
pp. 1029-1041
Author(s):  
Curt D. Cenci ◽  
David W. Lyons ◽  
Laura M. Snyder ◽  
Scott N. Walck
Keyword(s):  
Degrees Of Freedom ◽  
Rotation Group ◽  
Equivalence Classes ◽  
Unitary Equivalence ◽  
Finite Subgroups ◽  
Local Unitary Equivalence ◽  
Symmetric States

We classify local unitary equivalence classes of symmetric states via a classification of their local unitary stabilizer subgroups. For states whose local unitary stabilizer groups have a positive number of continuous degrees of freedom, the classification is exhaustive. We show that local unitary stabilizer groups with no continuous degrees of freedom are isomorphic to finite subgroups of the rotation group $SO(3)$, and give examples of states with discrete stabilizers.

scholarly journals Criterion of local unitary equivalence for multipartite states

2013 ◽  
Vol 88 (4) ◽  
Author(s):  
Ting-Gui Zhang ◽  
Ming-Jing Zhao ◽  
Ming Li ◽  
Shao-Ming Fei ◽  
Xianqing Li-Jost
Keyword(s):  
Unitary Equivalence ◽  
Local Unitary Equivalence ◽  
Multipartite States

scholarly journals The Local Unitary Equivalence of Multipartite Pure States

2014 ◽  
Vol 54 (2) ◽  
pp. 425-434
Author(s):  
Yan-Ling Wang ◽  
Mao-Sheng Li ◽  
Shao-Ming Fei ◽  
Zhu-Jun Zheng
Keyword(s):  
Unitary Equivalence ◽  
Pure States ◽  
Local Unitary Equivalence
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