Entanglement polygon inequality in qubit systems

Abstract : We prove a set of tight entanglement inequalities for arbitrary N-qubit pure states. By focusing on all bi-partite marginal entanglements between each single qubit and its remaining partners, we show that the inequalities provide an upper bound for each marginal entanglement, while the known monogamy relation establishes the lower bound. The restrictions and sharing properties associated with the inequalities are further analyzed with a geometric polytope approach, and examples of three-qubit GHZ-class and W-class entangled states are presented to illustrate the results.
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https://hal.archives-ouvertes.fr/hal-01814150
Contributor : Miguel A Alonso <>
Submitted on : Thursday, September 27, 2018 - 5:18:22 PM
Last modification on : Monday, March 4, 2019 - 2:04:23 PM
Long-term archiving on : Friday, December 28, 2018 - 2:59:23 PM

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Xiao-Feng Qian, Miguel Alonso, J Eberly. Entanglement polygon inequality in qubit systems. New Journal of Physics, Institute of Physics: Open Access Journals, 2018, 20 (6), ⟨10.1088/1367-2630/aac3be⟩. ⟨hal-01814150⟩

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