General Monogamy and polygamy properties of quantum systems

• URL: http://arxiv.org/abs/2302.13601v1
• Date: Mon, 27 Feb 2023 09:09:32 GMT
• Title: General Monogamy and polygamy properties of quantum systems
• Authors: Bing Xie, Ming-Jing Zhao and Bo Li
• Abstract summary: We study general monogamy and polygamy relations based on the $alpha$th $(0leqalphaleq gamma)$ power of entanglement measures. We illustrate that these monogamy and polygamy relations are tighter than the inequalities in the article [Quantum Inf Process 19, 101]. For specific entanglement measures such as concurrence and the convex-roof extended negativity, by applying these relations, one can yield the corresponding monogamous and polygamous inequalities.
• Score: 7.611807718534491
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Monogamy and Polygamy are important properties of entanglement, which characterize the entanglement distribution of multipartite systems. We study general monogamy and polygamy relations based on the $\alpha$th $(0\leq\alpha\leq \gamma)$ power of entanglement measures and the $\beta$th $(\beta\geq \delta)$ power of assisted entanglement measures, respectively. We illustrate that these monogamy and polygamy relations are tighter than the inequalities in the article [Quantum Inf Process 19, 101], so that the entanglement distribution can be more precisely described for entanglement states that satisfy stronger constraints. For specific entanglement measures such as concurrence and the convex-roof extended negativity, by applying these relations, one can yield the corresponding monogamous and polygamous inequalities, which take the existing ones in the articles [Quantum Inf Process 18, 23] and [Quantum Inf Process 18, 105] as special cases. More details are presented in the examples.

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