4.5 Article

Optimized monogamy and polygamy inequalities for multipartite qubit entanglement*

Journal

CHINESE PHYSICS B
Volume 30, Issue 10, Pages -

Publisher

IOP Publishing Ltd
DOI: 10.1088/1674-1056/abf12e

Keywords

monogamy inequalities; polygamy inequalities; entanglement measures

Funding

  1. National Natural Science Foundation of China [12075159, 11847209]
  2. Beijing Natural Science Foundation [Z190005]
  3. Academy for Multidisciplinary Studies, Capital Normal University
  4. Academician Innovation Platform of Hainan Province, Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology [SIQSE202001]
  5. China Postdoctoral Science Foundation [2019M650811]
  6. China Scholarship Council [201904910005]

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This study investigates the monogamy and polygamy inequalities of arbitrary multipartite quantum states, and introduces new classes of monogamy and polygamy inequalities based on concurrence, entanglement of formation, negativity, and Tsallis-q entanglement. The newly proposed inequality relations are shown to be stricter than existing ones, with detailed examples provided.
We investigate the monogamy and polygamy inequalities of arbitrary multipartite quantum states, and provide new classes of monogamy and polygamy inequalities of multiqubit entanglement in terms o f concurrence, entanglement of formation, negativity, and Tsallis-q entanglement, respectively. We show that these new monogamy and polygamy inequality relations are tighter than the existing ones with detailed examples.

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