Some Tighter Monogamy Inequalities in N-Qubit Systems

ZHANG Lu-lu, YANG Yan-min, CHEN Wei

doi:10.13371/j.cnki.chin.q.j.m.2024.04.007

Chinese Quarterly Journal of Mathematics >

2024 , Vol. 39 >Issue 4: 407 - 419

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2024.04.007

Some Tighter Monogamy Inequalities in N-Qubit Systems

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1. Faculty of Science, Kunming University of Science and Technology, Kunming 650500, China; 2. Research Center for Mathematics and Interdisciplinary Science and Technology, Kunming 650500, China; 3. School of Computer Science and Technology, Dongguan University of Technology, Dongguan 523808, China

ZHANG Lu-lu (1997-), female, native of Nanyang, Henan, graduate student of Kunming University of Science and Technology; YANG Yan-min (1987-), female, native of Dali, Yunnan, lecturer of Kunming University of Science and Technology, engages in algebra and quantum computation; CHEN Wei (1984-), male, native of Xinyang, Henan, associate professor of Dongguan University of Technology, engages in algebra and quantum computation.

Received date: 2023-12-26

Online published: 2024-12-30

Supported by

Supported by Yunnan Provincial Research Foundation for Basic Research (Grant No. 202001AU070041); Natural Science Foundation of Kunming University of Science and Technology (Grant No.KKZ3202007036); Basic and Applied Basic Research Funding Program of Guangdong Province (Grant Nos. 2019A1515111097 and 2023A1515012074).

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Abstract

We construct a piecewise function to investigate some monogamy inequalities in terms of the αth power of concurrence and negativity (α≥2), entanglement of formation (α≥\sqrt{2}), and Tsallis-q entanglement (α≥1). These inequalities are tighter than the existing results with detailed examples. Particularly, it is worth highlighting some classes of quantum states which can saturate these monogamy inequalities for α= 2, 4 and 6 in terms of concurrence and negativity and for α= 1, 2 and 3 in terms of Tsallis-q entanglement.

Key words： Monogamy inequalities; Entanglement measures; N-qubit systems

Cite this article

ZHANG Lu-lu, YANG Yan-min, CHEN Wei . Some Tighter Monogamy Inequalities in N-Qubit Systems[J]. Chinese Quarterly Journal of Mathematics, 2024 , 39(4) : 407 -419 . DOI: 10.13371/j.cnki.chin.q.j.m.2024.04.007

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