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A complete characterization and quantification of entanglement, particularly the multipartite entanglement, remains an unfinished long-term goal in quantum information theory. As long as the multipartite system is concerned, the relation…

Quantum Physics · Physics 2025-08-20 Yu Guo

Characterizing entanglement in all but the simplest case of a two qubit pure state is a hard problem, even understanding the relevant experimental quantities that are related to entanglement is difficult. It may not be necessary, however,…

Quantum Physics · Physics 2015-06-26 J. Grondalski , D. M. Etlinger , D. F. V. James

A fruitful way of studying physical theories is via the question whether the possible physical states and different kinds of correlations in each theory can be shared to different parties. Over the past few years it has become clear that…

Quantum Physics · Physics 2010-04-15 Michael Seevinck

Two important results of quantum physics are the \textit{no-cloning} theorem and the \textit{monogamy of entanglement}. The former forbids the creation of an independent and identical copy of an arbitrary unknown quantum state and the…

Quantum Physics · Physics 2021-07-28 Goutam Paul , Soumya Das , Anindya Banerji

Monogamy and Polygamy are important properties of entanglement, which characterize the entanglement distribution of multipartite systems. We study general monogamy and polygamy relations based on the $\alpha$th $(0\leq\alpha\leq \gamma)$…

Quantum Physics · Physics 2023-02-28 Bing Xie , Ming-Jing Zhao , Bo Li

The telecloning protocol distributes quantum states from a single sender to multiple receivers via a shared entangled state by exploiting the notions of teleportation and approximate cloning. We investigate the optimal telecloning…

Quantum Physics · Physics 2024-07-03 Sudipta Das , Rivu Gupta , Himadri Shekhar Dhar , Aditi Sen De

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 Physics · Physics 2020-10-09 Zhi-Xiang Jin , Shao-Ming Fei

We consider a monogamy inequality of quantum discord in a pure tripartite state and show that it is equivalent to an inequality between quantum mutual information and entanglement of formation of two parties. Since this inequality does not…

Quantum Physics · Physics 2013-02-13 Xi-Jun Ren , Heng Fan

While quantum entanglement is known to be monogamous (i.e. shared entanglement is restricted in multi-partite settings), here we show that distributed entanglement (or the potential for entanglement) is by nature polygamous. By establishing…

Quantum Physics · Physics 2009-07-20 Francesco Buscemi , Gilad Gour , Jeong San Kim

Quantum entanglement plays essential roles in quantum information processing. The monogamy and polygamy relations characterize the entanglement distributions in the multipartite systems. We present a class of monogamy inequalities related…

Quantum Physics · Physics 2020-06-17 Meng-Li Guo , Bo-Li , Zhi-Xi Wang , Shao-Ming Fei

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…

Quantum Physics · Physics 2023-12-19 Zhong-Xi Shen , Ke-Ke Wang , Shao-Ming Fei

A particularly interesting feature of nonrelativistic quantum mechanics is the monogamy laws of entanglement. Although the monogamy relation has been explored extensively in the last decade, it is still not clear to what extent a given…

Quantum Physics · Physics 2017-03-07 Yu Guo

In multiparty quantum systems, the monogamy inequality proposes an upper bound on the distribution of bipartite quantum correlation between a single party and each of the remaining parties in the system, in terms of the amount of quantum…

Quantum Physics · Physics 2016-06-28 Asutosh Kumar , Himadri Shekhar Dhar

We present a generalized telecloning (GTC) protocol where the quantum channel is non-optimally entangled and we study how the fidelity of the telecloned states depends on the entanglement of the channel. We show that one can increase the…

Quantum Physics · Physics 2007-11-12 Goren Gordon , Gustavo Rigolin

Quantum mechanics ensures that the information stored in a quantum state is secure and the ability to send private information through a quantum channel is at least as great as the coherent information. We derive trade-off relations between…

Quantum Physics · Physics 2017-10-02 Arun Kumar Pati , Kratveer Singh , Manish K. Gupta

Quantum mechanics imposes 'monogamy' constraints on the sharing of entanglement. We show that, despite these limitations, entanglement can be fully 'promiscuous', i.e. simultaneously present in unlimited two-body and many-body forms in…

Quantum Physics · Physics 2007-08-25 Gerardo Adesso , Marie Ericsson , Fabrizio Illuminati

We study the monogamy and polygamy inequalities of quantum correlations in arbitrary dimensional multipartite quantum systems. We first derive the monogamy inequality of the $\alpha$th ($0\leq\alpha\leq\frac{r}{2}, r\geq2$) power of…

Quantum Physics · Physics 2022-02-08 Mei-Ming Zhang , Naihuan Jing , Hui Zhao

We study the continuous-variable (CV) quantum teleportation protocol in the case that one of the two modes of the shared entangled resource is sent to the receiver through a Gaussian Quantum Brownian Motion noisy channel. We show that if…

Quantum Physics · Physics 2018-05-10 Gianpaolo Torre , Fabrizio Illuminati

Quantum entanglement, perhaps the most non-classical manifestation of quantum information theory, cannot be used to transmit information between remote parties. Yet, it can be used to reduce the amount of communication required to process a…

Quantum Physics · Physics 2015-06-29 Gilles Brassard , Anne Broadbent , Alain Tapp

We study the monogamy and polygamy inequalities of unified entanglement in multipartite quantum systems. We first derive the monogamy inequality of unified-$(q, s)$ entanglement for multi-qubit states under arbitrary bipartition, and then…

Quantum Physics · Physics 2022-05-16 Mei-Ming Zhang , Naihuan Jing , Hui Zhao