Research PapersNo Access

ALGEBRAIC STRUCTURES OF MULTIPARTITE QUANTUM SYSTEMS

HOSHANG HEYDARI

Institute of Quantum Science, Nihon University, 1-8 Kanda-Surugadai, Chiyoda-ku, Tokyo 101-8308, Japan

https://doi.org/10.1142/S0219749911005515Cited by:1 (Source: Crossref)

Abstract

We investigate the relation between multilinear mappings and multipartite states. We show that the isomorphism between multilinear mapping and tensor product completely characterizes decomposable multipartite states in a mathematically well-defined manner.

Keywords:

References

W. H. Greub , Multilinear Algebra ( Springer-Verlag , Berlin , 1967 ) . Crossref, Google Scholar
W. K. Wootters, Phys. Rev. Lett. 80, 2245 (1998), DOI: 10.1103/PhysRevLett.80.2245. Crossref, Web of Science, Google Scholar
H. Heydari and G. Björk, J. Phys. A: Math. Gen. 38, 3203 (2005), DOI: 10.1088/0305-4470/38/14/010. Crossref, Google Scholar
H. Heydari, J. Phys. A: Math. Gen. 39, 9839 (2006), DOI: 10.1088/0305-4470/39/31/013. Crossref, Google Scholar