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Quantum Information Processing

Erschienen in:

01.04.2024

Tighter monogamy and polygamy inequalities based on the generalized W-class states

verfasst von: Bing Xie, Bo Li, Bin Hu, Shao-Ming Fei

Erschienen in: Quantum Information Processing | Ausgabe 4/2024

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Abstract

Based on the reduced density matrices of a generalized W-class (GW) state with respect to arbitrary partitions, we investigate the monogamy and polygamy inequalities of concurrence and concurrence of assistance (CoA), respectively. For a partially coherent superposition of a GW state and a vacuum under any partitions, we present monogamy and polygamy inequalities of the convex-roof extended negativity and the convex-roof extended negativity of assistance, respectively. We prove that these monogamy and polygamy inequalities are tighter than the existing ones. The finer characterization of the entanglement distribution is illustrated by detailed examples.

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Titel: Tighter monogamy and polygamy inequalities based on the generalized W-class states
verfasst von: Bing Xie
Bo Li
Bin Hu
Shao-Ming Fei
Publikationsdatum: 01.04.2024
Verlag: Springer US
Erschienen in: Quantum Information Processing / Ausgabe 4/2024
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-024-04315-y

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