The Experts below are selected from a list of 8196 Experts worldwide ranked by ideXlab platform
Jeong San Kim - One of the best experts on this subject based on the ideXlab platform.
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Polygamy of multiparty q-expected quantum entanglement
Physical Review A, 2019Co-Authors: Jeong San KimAbstract:We characterize the Polygamy nature of quantum entanglement in multi-party systems in terms of $q$-expectation value for the full range of $q\geq 1$. By investigating some properties of generalized quantum correlations in terms of $q$-expectation value and Tsallis $q$-entropy, we establish a class of Polygamy inequalities of multi-party quantum entanglement in arbitrary dimensions based on $q$-expected entanglement measure. As Tsallis $q$-entropy is reduced to von Neumann entropy, and $q$-expectation value becomes the ordinary expectation value when $q$ tends to $1$, our results encapsulate previous results of Polygamy inequalities based on von Neumann entropy as special cases.
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Tsallis entropy and general Polygamy of multiparty quantum entanglement in arbitrary dimensions
Physical Review A, 2016Co-Authors: Jeong San KimAbstract:We establish a unified view of the Polygamy of multiparty quantum entanglement in arbitrary dimensions. Using quantum Tsallis-$q$ entropy, we provide a one-parameter class of Polygamy inequalities of multiparty quantum entanglement. This class of Polygamy inequalities reduces to the known Polygamy inequalities based on tangle and entanglement of assistance for a selective choice of the parameter $q$. We further provide one-parameter generalizations of various quantum correlations based on Tsallis-$q$ entropy. By investigating the properties of the generalized quantum correlations, we provide a sufficient condition on which the Tsallis-$q$ Polygamy inequalities hold in multiparty quantum systems of arbitrary dimensions.
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Strong Polygamy of quantum correlations in multi-party quantum systems
The European Physical Journal D, 2014Co-Authors: Jeong San KimAbstract:We propose a new type of Polygamy inequality for multi-party quantum entanglement. We first consider the possible amount of bipartite entanglement distributed between a fixed party and any subset of the rest parties in a multi-party quantum system. By using the summation of these distributed entanglements, we provide an upper bound of the distributed entanglement between a party and the rest in multi-party quantum systems. We then show that this upper bound also plays as a lower bound of the usual Polygamy inequality, therefore the strong Polygamy of multi-party quantum entanglement. For the case of multi-party pure states, we further show that the strong Polygamy of entanglement implies the strong Polygamy of quantum discord.
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General Polygamy inequality of multiparty quantum entanglement
Physical Review A, 2012Co-Authors: Jeong San KimAbstract:Using entanglement of assistance, we establish a general Polygamy inequality of multi-party entanglement in arbitrary dimensional quantum systems. For multi-party closed quantum systems, we relate our result with the monogamy of entanglement to show that the entropy of entanglement is an universal entanglement measure that bounds both monogamy and Polygamy of multi-party quantum entanglement.
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Unification of multiqubit Polygamy inequalities
Physical Review A, 2012Co-Authors: Jeong San KimAbstract:We establish a unified view of Polygamy of multi-qubit entanglement. We first introduce a two-parameter generalization of entanglement of assistance namely unified entanglement of assistance for bipartite quantum states, and provide an analytic lowerbound in two-qubit systems. We show a broad class of Polygamy inequalities of multi-qubit entanglement in terms of unified entanglement of assistance that encapsulates all known multi-qubit Polygamy inequalities as special cases. We further show that this class of Polygamy inequalities can be improved into tighter inequalities for three-qubit systems.
Shao-ming Fei - One of the best experts on this subject based on the ideXlab platform.
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Strong Polygamy and monogamy relations for multipartite quantum systems
Quantum Information Processing, 2019Co-Authors: Zhi-xiang Jin, Shao-ming FeiAbstract:Monogamy and Polygamy are the most striking features of the quantum world. We investigate the monogamy and Polygamy relations satisfied by all quantum correlation measures for arbitrary multipartite quantum states. By introducing residual quantum correlations, analytical Polygamy inequalities are presented, which are shown to be tighter than the existing ones. Then, similar to Polygamy relations, we obtain strong monogamy relations that are better than all the existing ones. Typical examples are presented for illustration.
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Polygamy Inequalities for Qubit Systems
International Journal of Theoretical Physics, 2019Co-Authors: Xue-na Zhu, Zhi-xiang Jin, Shao-ming FeiAbstract:Entanglement Polygamy, like entanglement monogamy, is a fundamental property of multipartite quantum states. We investigate the Polygamy relations related to the concurrence C and the entanglement of formation E for general n-qubit states. We extend the results in [Phys. Rev. A 90, 024304 (2014)] from the parameter region α ≤ 0 to α ≤ α0, where 0 < α0 ≤ 2 for C, and \(0
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Polygamy relations of multipartite entanglement beyond qubits
Journal of Physics A: Mathematical and Theoretical, 2019Co-Authors: Zhi-xiang Jin, Shao-ming FeiAbstract:We investigate the Polygamy relations related to the concurrence of assistance for any multipartite pure states. General Polygamy inequalities given by the $\alpha$th $(0\leq \alpha\leq 2)$ power of concurrence of assistance is first presented for multipartite pure states in arbitrary-dimensional quantum systems. We further show that the general Polygamy inequalities can even be improved to be tighter inequalities under certain conditions on the assisted entanglement of bipartite subsystems. Based on the improved Polygamy relations, lower bound for distribution of bipartite entanglement is provided in a multipartite system. Moreover, the $\beta$th ($0\leq \beta \leq 1$) power of Polygamy inequalities are obtained for the entanglement of assistance as a by-product, which are shown to be tighter than the existing ones. A detailed example is presented.
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Polygamy relations of multipartite systems
Quantum Information Processing, 2019Co-Authors: Zhi-xiang Jin, Shao-ming Fei, Cong-feng QiaoAbstract:We investigate the Polygamy relations of multipartite quantum states. General Polygamy inequalities are given in the $$\alpha $$ th $$(\alpha \ge 2)$$ power of concurrence of assistance, $$\beta $$ th $$(\beta \ge 1)$$ power of entanglement of assistance, and the squared convex-roof extended negativity of assistance (SCRENoA).
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tighter weighted Polygamy inequalities of multipartite entanglement in arbitrary dimensional quantum systems
arXiv: Quantum Physics, 2019Co-Authors: Bin Chen, Shao-ming Fei, Longmei Yang, Zhixi WangAbstract:We investigate Polygamy relations of multipartite entanglement in arbitrary-dimensional quantum systems. By improving an inequality and using the $\beta$th ($0\leq\beta\leq1$) power of entanglement of assistance, we provide a new class of weighted Polygamy inequalities of multipartite entanglement in arbitrary-dimensional quantum systems. We show that these new Polygamy relations are tighter than the ones given in [Phys. Rev. A 97, 042332 (2018)].
Zhi-xiang Jin - One of the best experts on this subject based on the ideXlab platform.
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Strong Polygamy and monogamy relations for multipartite quantum systems
Quantum Information Processing, 2019Co-Authors: Zhi-xiang Jin, Shao-ming FeiAbstract:Monogamy and Polygamy are the most striking features of the quantum world. We investigate the monogamy and Polygamy relations satisfied by all quantum correlation measures for arbitrary multipartite quantum states. By introducing residual quantum correlations, analytical Polygamy inequalities are presented, which are shown to be tighter than the existing ones. Then, similar to Polygamy relations, we obtain strong monogamy relations that are better than all the existing ones. Typical examples are presented for illustration.
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Polygamy Inequalities for Qubit Systems
International Journal of Theoretical Physics, 2019Co-Authors: Xue-na Zhu, Zhi-xiang Jin, Shao-ming FeiAbstract:Entanglement Polygamy, like entanglement monogamy, is a fundamental property of multipartite quantum states. We investigate the Polygamy relations related to the concurrence C and the entanglement of formation E for general n-qubit states. We extend the results in [Phys. Rev. A 90, 024304 (2014)] from the parameter region α ≤ 0 to α ≤ α0, where 0 < α0 ≤ 2 for C, and \(0
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Polygamy relations of multipartite entanglement beyond qubits
Journal of Physics A: Mathematical and Theoretical, 2019Co-Authors: Zhi-xiang Jin, Shao-ming FeiAbstract:We investigate the Polygamy relations related to the concurrence of assistance for any multipartite pure states. General Polygamy inequalities given by the $\alpha$th $(0\leq \alpha\leq 2)$ power of concurrence of assistance is first presented for multipartite pure states in arbitrary-dimensional quantum systems. We further show that the general Polygamy inequalities can even be improved to be tighter inequalities under certain conditions on the assisted entanglement of bipartite subsystems. Based on the improved Polygamy relations, lower bound for distribution of bipartite entanglement is provided in a multipartite system. Moreover, the $\beta$th ($0\leq \beta \leq 1$) power of Polygamy inequalities are obtained for the entanglement of assistance as a by-product, which are shown to be tighter than the existing ones. A detailed example is presented.
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Polygamy relations of multipartite systems
Quantum Information Processing, 2019Co-Authors: Zhi-xiang Jin, Shao-ming Fei, Cong-feng QiaoAbstract:We investigate the Polygamy relations of multipartite quantum states. General Polygamy inequalities are given in the $$\alpha $$ th $$(\alpha \ge 2)$$ power of concurrence of assistance, $$\beta $$ th $$(\beta \ge 1)$$ power of entanglement of assistance, and the squared convex-roof extended negativity of assistance (SCRENoA).
Jeong San Kim - One of the best experts on this subject based on the ideXlab platform.
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weighted Polygamy inequalities of multiparty entanglement in arbitrary dimensional quantum systems
Physical Review A, 2018Co-Authors: Jeong San KimAbstract:We provide a generalization for the Polygamy constraint of multiparty entanglement in arbitrary dimensional quantum systems. By using the $\beta$th-power of entanglement of assistance for $0\leq \beta \leq1$ and the Hamming weight of the binary vector related with the distribution of subsystems, we establish a class of weighted Polygamy inequalities of multiparty entanglement in arbitrary dimensional quantum systems. We further show that our class of weighted Polygamy inequalities can even be improved to be tighter inequalities with some conditions on the assisted entanglement of bipartite subsystems.
Ting Gao - One of the best experts on this subject based on the ideXlab platform.
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Tighter monogamy and Polygamy relations of multiparty quantum entanglement
Quantum Information Processing, 2020Co-Authors: Limin Gao, Fengli Yan, Ting GaoAbstract:We explore monogamy and Polygamy relations of entanglement in multipartite systems. By using the power of the bipartite entanglement measure, we establish a class of tight monogamy relations of multiparty entanglement with larger lower bounds in comparison to all known entanglement monogamy relations. We also give a class of tight Polygamy relations of multiparty entanglement with smaller upper bounds than the existing ones, in terms of the power of the entanglement of assistance. We provide examples in which our new monogamy and Polygamy relations are tighter than the previous ones.
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Tighter monogamy and Polygamy relations of multiparty quantum entanglement.
arXiv: Quantum Physics, 2019Co-Authors: Limin Gao, Fengli Yan, Ting GaoAbstract:We investigate the tight monogamy and Polygamy relations of multiparty entanglement for arbitrary quantum states. By using the power of the bipartite measure of entanglement, we establish a class of tight monogamy relations of multiparty entanglement with larger lower bounds than the existing monogamy relations. We also give a class of tight Polygamy relations of multiparty entanglement with smaller upper bounds than the existing Polygamy relations, by using the power of the entanglement of assistance. It is shown that these new monogamy and Polygamy relations are tighter than the former results.
