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.
纠缠一夫多妻和纠缠一夫一妻一样,是多体量子态的一个基本性质。研究了一般$n$ -量子比特态的多偶性与并发度$C$和形成纠缠度$E$的关系.我们将[Phys. Rev. A 90,024304(2014)]中的结果从参数区域$α\leq0$扩展到$α\leqα_0$,其中$C$为$0<α_0\leq2$,$E$为$0<α_0\leq\sqrt{2}$。
The Richness of Bell Nonlocality: Generalized Bell Polygamy and Hyper-Polygamy
Institute of Theoretical Physics and Astrophysics, University of Gdańsk(格但斯克大学理论物理与天体物理研究所);International Centre for Theory of Quantum Technologies, University of Gdansk(格但斯克大学量子技术理论国际中心);Faculty of Physics, Ludwig Maximilian University(慕尼黑路德维希-马克西米利安大学物理学院)
General Monogamy and polygamy properties of quantum systems
一夫一妻制和一夫多妻制是纠缠的重要性质,它们刻画了多体系统的纠缠分布。分别基于$α$次$(0\leqα\leq γ)$幂纠缠测度和$β$次$(β\geq δ)$幂辅助纠缠测度研究了一般的一夫一妻和一夫多妻关系.我们说明了这些一夫一妻制和一夫多妻制的关系比文章[Quantum Inf Process 19,101]中的不等式更紧密,因此可以更精确地描述满足更强约束的纠缠态的纠缠分布。对于特定的纠缠度量,如并发和凸顶扩展负性,通过应用这些关系,可以得到相应的一夫一妻制和一夫多妻制不等式,这些不等式将文章[Quantum Inf Process 18,23]和[Quantum Inf Process 18,105]中现有的不等式作为特例。更多细节在实施例中呈现。
Trade-offs and experimental feasibility of nonlocal polygamy with two-outcome Bell inequalities
CRISP – Centre de Recerca Independent de sa Pobla(萨波拉独立研究中心);Systems Research Institute, Polish Academy of Sciences(波兰科学院系统研究所);Nicolaus Copernicus Astronomical Center, Polish Academy of Sciences(波兰科学院尼古拉·哥白尼天文中心);Center of Excellence in Artificial Intelligence, AGH University(AGH大学人工智能卓越中心);Faculty of Physics, University of Warsaw(华沙大学物理学院);Faculty of Physics and Applied Informatics, University of Lodz(罗兹大学物理与应用信息学院)
Tighter monogamy and polygamy relations in multiparty quantum systems
School of Mathematics and Science, Hebei GEO University(河北地质大学数学与科学学院);Intelligent Sensor Network Engineering Research Center of Hebei Province, Hebei GEO University(河北省智能传感器网络工程研究中心)