General Monogamy Relation for the Entanglement of Formation in Multiqubit Systems

Yan-Kui Bai, Yuan-Fei Xu, and Z. D. Wang
Phys. Rev. Lett. 113, 100503 – Published 5 September 2014
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Abstract

We prove exactly that the squared entanglement of formation, which quantifies the bipartite entanglement, obeys a general monogamy inequality in an arbitrary multiqubit mixed state. Based on this kind of exotic monogamy relation, we are able to construct two sets of useful entanglement indicators: the first one can detect all genuine multiqubit entangled states even in the case of the two-qubit concurrence and n-tangles being zero, while the second one can be calculated via quantum discord and applied to multipartite entanglement dynamics. Moreover, we give a computable and nontrivial lower bound for multiqubit entanglement of formation.

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  • Received 13 January 2014

DOI:https://doi.org/10.1103/PhysRevLett.113.100503

© 2014 American Physical Society

Authors & Affiliations

Yan-Kui Bai1,2,*, Yuan-Fei Xu1, and Z. D. Wang2,†

  • 1College of Physical Science and Information Engineering and Hebei Advance Thin Films Laboratory, Hebei Normal University, Shijiazhuang, Hebei 050024, China
  • 2Department of Physics and Centre of Theoretical and Computational Physics, The University of Hong Kong, Pokfulam Road, Hong Kong, China

  • *ykbai@semi.ac.cn
  • zwang@hku.hk

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Vol. 113, Iss. 10 — 5 September 2014

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