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"Is entanglement monogamous?" asks the title of a popular article [B. Terhal, IBM J. Res. Dev. 48, 71 (2004)], celebrating C. H. Bennett's legacy on quantum information theory. While the answer is affirmative in the qualitative sense, the…

We present an interesting monogamy equation for $(2 \otimes 2 \otimes n)$-dimensional pure states, by which a quantity is found to characterize the tripartite entanglement with the GHZ type and W typeentanglements as a whole. In particular,…

量子物理 · 物理学 2009-11-13 Chang-shui Yu , He-shan Song

Quantum correlations in the form of entanglement, quantum steering or Bell nonlocality are resources for various information-processing tasks, but their detailed quantification and characterization remain complicated. One counter-intuitive…

Quantum mutual information (QMI) not only displays the mutual information in the system but also demonstrates some quantum correlation beyond entanglement. We explore here the two alternatives of multipartite quantum mutual information…

量子物理 · 物理学 2023-09-01 Yu Guo , Lizhong Huang

Non-signalling conditions encode minimal requirements that any (quantum) systems must satisfy in order to be consistent with special relativity. Recent works have argued that in scenarios involving more that two parties, correlations…

量子物理 · 物理学 2025-11-18 Mirjam Weilenmann

The monogamy property of entanglement is an intriguing feature of multipartite quantum entanglement. Most entanglement measures satisfying the monogamy inequality are turned out to be convex. Whether nonconvex entanglement measures obeys…

量子物理 · 物理学 2024-02-02 Zhong-Xi Shen , Dong-Ping Xuan , Wen Zhou , Zhi-Xi Wang , Shao-Ming Fei

We introduce two multiple qubit controlled-unitary gates with different working principles. We employ these gates and existing quantum gates to propose simple and efficient algorithms that generate multi-term orthonormal entangled Bell-like…

量子物理 · 物理学 2014-05-15 Asutosh Kumar

Non-classical quantum correlations underpin both the foundations of quantum mechanics and modern quantum technologies. Among them, Bell nonlocality is a central example. For bipartite Bell inequalities, nonlocal correlations obey strict…

量子物理 · 物理学 2026-05-13 Gerard Anglès Munné , Paweł Cieśliński , Jan Wójcik , Wiesław Laskowski

We investigate tight monogamy relations of multiparty quantum entanglement for any quantum state in this paper. First, we obtain a class of lower bounds for multiparty quantum systems which improve the previous results. Next, we establish a…

量子物理 · 物理学 2022-11-23 Hui Li , Ting Gao , Fengli Yan

Quantum teleportation (QT) is a fundamentally remarkable communication protocol that also finds many important applications for quantum informatics. Given a quantum entangled resource, it is crucial to know to what extent one can accomplish…

量子物理 · 物理学 2016-12-20 Jaehak Lee , Se-Wan Ji , Jiyong Park , Hyunchul Nha

In this paper, we propose a novel class of parameterized entanglement measures which are named as $G_\omega$-concurrence ($G_\omega$C) ($0<\omega\leq1$), and demonstrate comprehensively that they satisfy all the necessary axiomatic…

量子物理 · 物理学 2025-03-19 Wen Zhou , Zhong-Xi Shen , Dong-Ping Xuan , Zhi-Xi Wang , Shao-Ming Fei

Two overlapping bipartite binary input Bell inequalities cannot be simultaneously violated as this would contradict the usual no-signalling principle. This property is known as monogamy of Bell inequality violations and generally Bell…

量子物理 · 物理学 2018-09-12 Ravishankar Ramanathan , Piotr Mironowicz

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…

量子物理 · 物理学 2018-04-25 Jeong San Kim

Recently a new class of monogamy relations (actually, exponentially many) was provided by Christopher Eltschka et al. in terms of squared concurrence. Their approach restricted to the distribution of bipartite entanglement shared between…

量子物理 · 物理学 2025-08-19 Priyabrata Char , Prabir Kumar Dey , Amit Kundu , Indrani Chattopadhyay , Debasis Sarkar

Tsallis-$q$ entanglement is a bipartite entanglement measure which is the generalization of entanglement of formation for $q$ tending to 1. We first expand the range of $q$ for the analytic formula of Tsallis-\emph{q} entanglement. For…

量子物理 · 物理学 2016-07-12 Guang-Ming Yuan , Wei Song , Ming Yang , Da-Chuang Li , Jun-Long Zhao , Zhuo-Liang Cao

An essential feature of genuine quantum correlation is the simultaneous existence of correlation in complementary bases. We reveal this feature of quantum correlation by defining measures based on invariance under a basis change. For a…

量子物理 · 物理学 2014-02-11 Shengjun Wu , Zhihao Ma , Zhihua Chen , Sixia Yu

We derive fundamental constraints for the Schur complement of positive matrices, which provide an operator strengthening to recently established information inequalities for quantum covariance matrices, including strong subadditivity. This…

量子物理 · 物理学 2016-11-28 Ludovico Lami , Christoph Hirche , Gerardo Adesso , Andreas Winter

It is well known that certain quantum correlations like quantum steering exhibit a monogamous relationship. In this paper, we exploit the asymmetric nature of quantum steering and show that there exist states which exhibit a polygamous…

量子物理 · 物理学 2019-01-21 Debasis Mondal , Chandan Datta , Jaskaran Singh , Dagomir Kaszlikowski

Monogamy of quantum correlations provides a way to study restrictions on their sharability in multiparty systems. We find the critical exponent of these measures, above which randomly generated multiparty pure states satisfy the usual…

量子物理 · 物理学 2019-04-10 Soorya Rethinasamy , Saptarshi Roy , Titas Chanda , Aditi Sen De , Ujjwal Sen

We show that for macroscopic measurements which cannot reveal full information about microscopic states of the system, the monogamy of Bell inequality violations present in quantum mechanics implies that practically all correlations between…