Dual monogamy inequality for entanglement | Zendy

Gilad Gour | Zendy; Somshubhro Bandyopadhyay | Zendy; Barry C. Sanders | Zendy

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Dual monogamy inequality for entanglement

Author(s) -

Gilad Gour,

Somshubhro Bandyopadhyay,

Barry C. Sanders

Publication year - 2007

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.2435088

Subject(s) - quantum entanglement , multipartite entanglement , bipartite graph , squashed entanglement , mathematics , multipartite , upper and lower bounds , qubit , kullback–leibler divergence , w state , quantum mechanics , discrete mathematics , statistical physics , physics , quantum , mathematical analysis , statistics , graph

We establish duality for monogamy of entanglement: whereas monogamy ofentanglement inequalities provide an upper bound for bipartite sharability ofentanglement in a multipartite system, we prove that the same quantity providesa \emph{lower} bound for distribution of bipartite entanglement in amultipartite system. Our theorem for monogamy of entanglement is used to establish relationsbetween bipartite entanglement that separate one qubit from the rest vsseparating two qubits from the rest.Comment: 12 page

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