Partial K-way Negativities of Pure Four qubit Entangled States

Details Partial K-way Negativities of Pure Four qubit Entangled States Partial K-way Negativities of Pure Four qubit Entangled States

2009-03-07

arxiv.org/abs/0903.1363v2

Phys. Rev. A 79, 062323 (2009)

Physics

Quantum Physics

15 pages, 5 figures, Additions to section II, Typos corrected

Scientific paper

10.1103/PhysRevA.79.062323

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.

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