Strong monogamy of multi-party quantum entanglement for partially coherently superposed states

Abstract

We provide an evidence for the validity of strong monogamy inequality of multi-party quantum entanglement using square of convex-roof extended negativity(SCREN). We first consider a large class of multi-qudit mixed state that are in a partially coherent superposition of a generalized W-class state and the vacuum, and provide some useful properties about this class of states. We show that monogamy inequality of multi-qudit entanglement in terms of SCREN holds for this class of states. We further show that SCREN strong monogamy inequality of multi-qudit entanglement also holds for this class of states. Thus SCREN is a good alternative to characterize the monogamous and strongly monogamous properties of multi-qudit entanglement.

10 pages, no figure, to appear in Physical Review A. arXiv admin note: text overlap with arXiv:1508.07673

References in corpus (6)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Is Entanglement Monogamous?
• Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
• Unified entropy, entanglement measures and monogamy of multi-party entanglement
• Negativity and strong monogamy of multi-party quantum entanglement beyond qubits
• Generalized W-Class State and its Monogamy Relation

Cited by in corpus (6)

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• Tighter monogamy and polygamy relations for a superposition of the generalized $W$-class state and vacuum
• Monogamy and polygamy for multi-qudit generalized $W$-class states based on concurrence of assistance and Tsallis-$q$ entanglement of assistance
• Unified monogamy relations for the generalized $W$-class states beyond qubits