Partial K-way Negativities of Pure Four qubit Entangled States
Quantum Physics
2010-08-06 v2
Abstract
It has been shown by Versraete et. al [F. Versraete, J. Dehaene, B. De Moor, and H. Verschelde, Phys. Rev. A65, 052112 (2002)] that by stochastic local operations and classical communication (SLOCC), a pure state of four qubits can be transformed to a state belonging to one of a set of nine families of states. By using selective partial transposition, we construct partial K-way negativities to measure the genuine 4-partite, tripartite, and bi-partite entanglement of single copy states belonging to the nine families of four qubit states. Partial K-way negativities are polynomial functions of local invariants characterizing each family of states as such entanglement monotones.
Keywords
Cite
@article{arxiv.0903.1363,
title = {Partial K-way Negativities of Pure Four qubit Entangled States},
author = {S. Shelly Sharma and N. K. Sharma},
journal= {arXiv preprint arXiv:0903.1363},
year = {2010}
}
Comments
15 pages, 5 figures, Additions to section II, Typos corrected