Partial K-way Negativities of Pure Four qubit Entangled States

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.

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

References in corpus (3)

• Two-way and three-way negativities of three qubit entangled states
• Quantum coherences, K-way negativities and multipartite entanglement
• Partial K-way negativities and three tangle for three qubit states

Cited by in corpus (6)

• Local Unitary Invariants for N-qubit Pure State
• Four-tangle for pure states
• Classification of Multipartite Entanglement via Negativity Fonts
• Unitary Invariants and Classification of Four-Qubit States via Negativity Fonts
• Negativity Fonts, multiqubit invariants and Four qubit Maximally Entangled States
• Criteria for reliable entanglement quantification with finite data