SLOCC Invariants for Multipartite Mixed States

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

Contact the author: Please use for correspondence this email.
Submission date: 19. Aug. 2014
Pages: 13
published in: Journal of physics / A, 47 (2014) 21, art-no. 215303 
DOI number (of the published article): 10.1088/1751-8113/47/21/215303
Bibtex
PACS-Numbers: 03.67.-a, 02.20.Hj, 03.65.-w
Download full preprint: PDF (137 kB), PS ziped (290 kB)

Abstract:
We construct a nontrivial set of invariants for any multipartite mixed states under the SLOCC symmetry. These invariants are given by hyperdeterminants and independent from basis change. In particular, a family of d² invariants for arbitrary d-dimensional even partite mixed states are explicitly given.