Monogamy Relations for Squared Entanglement Negativity |
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Authors: | Feng Liu |
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Institution: | 1.College of Mathematic and Information Science, Shandong Institute of Business and Technology, Yantai 264005, China;2.State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China |
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Abstract: | This paper contains two main contents. In the first part, we provide two counterexamples of monogamy inequalities for the squared entanglement negativity: one three-qutrit pure state which violates of the He-Vidal monogamy conjecture, and one four-qubit pure state which disproves the squared-negativity-based Regula-Martino-Lee-Adesso-class strong monogamy conjecture. In the second part, we investigate the sharing of the entanglement negativity in a composite cavity-reservoir system using the corresponding multipartite entanglement scores, and then we find that there is no simple dominating relation between multipartite entanglement scores and the entanglement negativity in composite cavity-reservoir systems. As a by-product, we further validate that the entanglement of two cavity photons is a decreasing function of the evolution time, and the entanglement will suddenly disappear interacting with independent reservoirs. |
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Keywords: | monogamy relations entanglement negativity strong monogamy |
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