Monogamy Relations in Terms of Tsallis-Q Entropy in any Dimensional System |
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Authors: | Xian Shi |
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Affiliation: | 1.Institute of Mathematics, Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing,China;2.University of Chinese Academy of Sciences,Beijing,China;3.UTS-AMSS Joint Research Laboratory for Quantum Computation and Quantum Information Processing, Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing,China |
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Abstract: | Monogamy of entanglement is a fundamental property of multipartite entangled states. In this article, due to the convexity of Trρq with respect to q when q ≥ 1, we give a monogamy-like relation in terms of Tsallis-q entanglement entropy of assistance (TqEEA) for pure states over an n- partite any dimensional system and monogamy-like relations in terms of Tsallis-q entanglement entropy (TqEE) for mixed states for any dimensional system, we also give a lower bound for the TqEE of a four-partite pure state. At last, we show that the generalized W-class states satisfy the polygamy relation in terms of TqEE when q = 2. |
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