We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Local Unitary Invariants for Multipartite States.
- Authors
Zhang, Ting-Gui; Zhao, Ming-Jing; Li-Jost, Xianqing; Fei, Shao-Ming
- Abstract
We study the invariants of arbitrary dimensional multipartite quantum states under local unitary transformations. For multipartite pure states, we give a set of invariants in terms of singular values of coefficient matrices. For multipartite mixed states, we propose a set of invariants in terms of the trace of coefficient matrices. For full rank mixed states with non-degenerate eigenvalues, this set of invariants is also the set of the necessary and sufficient conditions for the local unitary equivalence of such two states.
- Subjects
INVARIANTS (Mathematics); DIMENSIONAL analysis; QUANTUM states; UNITARY transformations; SET theory; QUANTUM entanglement
- Publication
International Journal of Theoretical Physics, 2013, Vol 52, Issue 9, p3020
- ISSN
0020-7748
- Publication type
Article
- DOI
10.1007/s10773-013-1593-4