Unified entropy, entanglement measures and monogamy of multi-party entanglement

We show that restricted shareability of multi-qubit entanglement can be fully characterized by unified-(q, s) entropy. We provide a two-parameter class of bipartite entanglement measures, namely unified-(q, s) entanglement with its analytic formula in two-qubit systems for q [> or =, slanted] 1,...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2011-07, Vol.44 (29), p.295303-14
Hauptverfasser: Kim, Jeong San, Sanders, Barry C
Format: Artikel
Sprache:eng
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Zusammenfassung:We show that restricted shareability of multi-qubit entanglement can be fully characterized by unified-(q, s) entropy. We provide a two-parameter class of bipartite entanglement measures, namely unified-(q, s) entanglement with its analytic formula in two-qubit systems for q [> or =, slanted] 1, 0 [< or =, slant] s [< or =, slant] 1 and qs [< or =, slant] 3. Using unified-(q, s) entanglement, we establish a broad class of the monogamy inequalities of multi-qubit entanglement for q [> or =, slanted] 2, 0 [< or =, slant] s [< or =, slant] 1 and qs [< or =, slant] 3.
ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/44/29/295303