Tightening Monogamy and Polygamy Inequalities of Multiqubit Entanglement

Ahmad Farooq; Junaid ur Rehman; Youngmin Jeong; Jeong San Kim; Hyundong Shin

doi:10.1038/s41598-018-37731-z

Tightening Monogamy and Polygamy Inequalities of Multiqubit Entanglement

Ahmad Farooq
, Junaid ur Rehman
, Youngmin Jeong
, Jeong San Kim
, Hyundong Shin^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

Monogamy and polygamy relations of quantum entanglement characterize the sharing and distribution of entanglement in a multipartite system. Multiqubit entanglement can be characterized entirely with bipartite combinations by saturating the monogamy and polygamy inequalities. In this paper, we tighten monogamy and polygamy constraints for the squared convex-roof extended negativity and its dual measure by employing a genetic algorithm. This evolutionary algorithm optimizes inequality residual functions to improve the monogamy and polygamy relations of these entanglement measures.

Original language	English
Article number	3314
Journal	Scientific Reports
Volume	9
Issue number	1
DOIs	https://doi.org/10.1038/s41598-018-37731-z
State	Published - 1 Dec 2019
Externally published	Yes

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Publisher Copyright:
© 2019, The Author(s).

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abstract = "Monogamy and polygamy relations of quantum entanglement characterize the sharing and distribution of entanglement in a multipartite system. Multiqubit entanglement can be characterized entirely with bipartite combinations by saturating the monogamy and polygamy inequalities. In this paper, we tighten monogamy and polygamy constraints for the squared convex-roof extended negativity and its dual measure by employing a genetic algorithm. This evolutionary algorithm optimizes inequality residual functions to improve the monogamy and polygamy relations of these entanglement measures.",

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AU - Jeong, Youngmin

AU - Kim, Jeong San

AU - Shin, Hyundong

PY - 2019/12/1

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AB - Monogamy and polygamy relations of quantum entanglement characterize the sharing and distribution of entanglement in a multipartite system. Multiqubit entanglement can be characterized entirely with bipartite combinations by saturating the monogamy and polygamy inequalities. In this paper, we tighten monogamy and polygamy constraints for the squared convex-roof extended negativity and its dual measure by employing a genetic algorithm. This evolutionary algorithm optimizes inequality residual functions to improve the monogamy and polygamy relations of these entanglement measures.

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Tightening Monogamy and Polygamy Inequalities of Multiqubit Entanglement

Abstract

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