Polygamy relations of multipartite entanglement beyond qubits

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.Comment: arXiv admin note: text overlap with arXiv:1902.0744

Pasal 56 Ayat (1) Kompilasi Hukum Islam Terkait Izin Pengadilan agama Sebagai Syarat Berpoligami Ditinjau dari Pandangan Fikih

Permitting polygamy is an issue that has caused much controversy, both among the public and among religious courts. In Islamic law, there is no evidence that directly regulates the permission of polygamy, especially related to permission from religious courts as stipulated in Article 56 Paragraph (1) of the Compilation of Islamic Law which makes the permission of religious courts a condition for polygamy for those who are Muslim. The research method used is Normative Juridical (library research) focusing on positive law, principles and rules, and comparative law Stature approach and conceptual approach by reviewing article 56 paragraph (1) of the Compilation of Islamic Law on court permission as a condition of polygamy which will be more specific to the permit granted by religious courts in considering the application for permission reviewed by Islamic jurisprudence. The results of the study of religious court permits are ijtihad to protect the rights of every individual involved in it. As well as legal proceedings for violators of article 56 Paragraph (1) of the Compilation of Islamic Law can be processed criminally contained in articles 279 and 284 of the Criminal Code and Civil in the form of annulment of marriage as in Article 71 Paragraph (1) of the Compilation of Islamic Law concerning the annulment of marriage which explains that polygamy without the permission of religious courts can be annulled

Polygamy relations of multipartite systems

We investigate the polygamy relations of multipartite quantum states. General polygamy inequalities are given in the $\alpha$th $(\alpha\geq 2)$ power of concurrence of assistance, $\beta$th $(\beta \geq1)$ power of entanglement of assistance, and the squared convex-roof extended negativity of assistance (SCRENoA)

General polygamy inequality of multi-party quantum entanglement

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.Comment: 4 pages, 1 figur

Strong polygamy of quantum correlations in multi-party quantum systems

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.Comment: 5 page

Tighter weighted polygamy inequalities of multipartite entanglement in arbitrary-dimensional quantum systems

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)]