arXiv subjects

Ke-Ke Wang

Publications and source records attributed to Ke-Ke Wang.

3 recordsLinked to original sources

arXiv2025

Genuine Multipartite Entanglement Measure Based on $α$-concurrence

Quantifying genuine entanglement is a crucial task in quantum information theory. Based on the geometric mean of bipartite $α$-concurrences among all bipartitions, we present a class of well-defined genuine multipartite entanglement (GME) measures G$α$C with one parameter $α$ for arbitrary multipartite states. We show that the G$α$C is of continuity for any multipartite pure states. By utilizing the related symmetry, analytical results of G$α$C are derived for any $n$-qubit GHZ states and W states, which show that the GHZ states are more genuinely entangled than the W states. With explicit examples, we demonstrate that the G$α$C can distinguish different GME states that other GME measures fail to. These results justify the potential applications of G$α$C in characterizing genuine multipartite entanglements.

quant-ph↗

arXiv2023

General monogamy and polygamy relations of arbitrary quantum correlations for multipartite systems

Monogamy and polygamy of quantum correlations are the fundamental properties of quantum systems. We study the monogamy and polygamy relations satisfied by any quantum correlations in multipartite quantum systems. General monogamy relations are presented for the $α$th $(0\leqα\leqγ$, $γ\geq2)$ power of quantum correlation, and general polygamy relations are given for the $β$th $(β\geq δ$, $0\leqδ\leq1)$ power of quantum correlation. We show that these newly derived monogamy and polygamy inequalities are tighter than the existing ones. By applying these results to specific quantum correlations such as concurrence and the square of convex-roof extended negativity of assistance (SCRENoA), the corresponding new classes of monogamy and polygamy relations are obtained, which include the existing ones as special cases. Detailed examples are given to illustrate the advantages of our results.

quant-ph↗

arXiv2022

Operational Entanglement Detection Based on $Λ$-Moments

We introduce $Λ$-moments with respect to any positive map $Λ$. We show that these $Λ$-moments can effectively characterize the entanglement of unknown quantum states without theirs prior reconstructions. Based on $Λ$-moments necessary and sufficient separability criteria, as well as necessary optimized criteria are presented, which include the ones in [\href{https://link.aps.org/doi/10.1103/PhysRevLett.127.060504}{Phys. Rev. Lett. \textbf{127}, 060504 (2021)}] as special cases. Detailed example is given to show that our criteria can detect bound entanglement that can not be identified by positive partial transpose criterion, with the explicit measurement operators to experimentally measure the corresponding $Λ$-moments.

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