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MiS Preprint
74/2013

Local unitary invariants for multipartite states

Ting-Gui Zhang, Ming-Jing Zhao, Xianqing Li-Jost and Shao-Ming Fei

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 ranked mixed states with nondegenerate eigenvalues, this set of invariants is also the necessary and sufficient conditions for the local unitary equivalence of such two states.

Received:
Aug 7, 2013
Published:
Aug 12, 2013
PACS:
03.67.-a, 02.20.Hj, 03.65.-w

Related publications

inJournal
2013 Repository Open Access
Ting-Gui Zhang, Ming-Jing Zhao, Xianqing Li-Jost and Shao-Ming Fei

Local unitary invariants for multipartite states

In: International journal of theoretical physics, 52 (2013) 9, pp. 3020-3025