Quantum coherences, K-way negativities and multipartite entanglement

Abstract

A characterization of N-partite states, based on K-way (K = 2 to N) negativities, is proposed. The K-way partial transpose with respect to a subsystem is defined so as to shift the focus to K-way coherences instead of K subsystems of the composite system. For an N-partite system the fraction of K-way negativity, contributing to global negativity, is obtained. The entanglement measures for a given state $\rho$ are identified as the partial K-way negativities of the corresponding canonical state.

09 pages, revtex, new section added

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Cited by in corpus (10)

• Parameterized multipartite entanglement measures
• Local Unitary Invariants for N-qubit Pure State
• Partial K-way negativities and three tangle for three qubit states
• Multipartite entanglement of three trapped ions in a cavity and W- State generation
• Generation of field mediated three qubit entangled state shared by Alice and Bob
• Partial K-way Negativities of Pure Four qubit Entangled States
• Relations among $k$-ME concurrence, negativity, polynomial invariants, and tangle
• Universal behavior of the geometric entanglement measure of many-qubit W states
• Entanglement and its facets in condensed matter systems
• Geometric Measure of Entanglement and Schmidt Decomposition of Multipartite Systems