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We consider an arbitrary d_{1}\otimes d_{2}\otimes ... \otimes d_{N} composite quantum system and find necessary conditions for general m-party subsystem states to be the reduced states of a common N-party state. These conditions will lead…

量子物理 · 物理学 2007-06-13 Jian-Ming Cai , Zheng-Wei Zhou , Shun Zhang , Guang-Can Guo

We provide an evidence for the validity of strong monogamy inequality of multi-party quantum entanglement using square of convex-roof extended negativity(SCREN). We first consider a large class of multi-qudit mixed state that are in a…

量子物理 · 物理学 2016-04-06 Jeong San Kim

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

Monogamy is an intrinsic feature of quantum correlations that gives rise to several interesting quantum characteristics which are not amenable to classical explanations. The monogamy property imposes physical restrictions on unconditional…

量子物理 · 物理学 2017-08-02 Himadri Shekhar Dhar , Amit Kumar Pal , Debraj Rakshit , Aditi Sen De , Ujjwal Sen

In contrast with entanglement, as measured by concurrence, in general, quantum discord does not possess the property of monogamy, that is, there is no tradeoff between the quantum discord shared by a pair of subsystems and the quantum…

量子物理 · 物理学 2011-11-14 Gian Luca Giorgi

We introduce the notion of maximally multipartite entangled states of n qubits as a generalization of the bipartite case. These pure states have a bipartite entanglement that does not depend on the bipartition and is maximal for all…

量子物理 · 物理学 2008-06-12 Paolo Facchi , Giuseppe Florio , Giorgio Parisi , Saverio Pascazio

The multi-qubit GHZ state possesses tangles with elegant transformation properties under stochastic local operations and classical communication. Since almost all pure 3-qubit states are connected to the GHZ state via SLOCC, we derive a…

量子物理 · 物理学 2017-09-18 Grant W. Allen , Orest Bucicovschi , David A. Meyer

We investigate monogamy relations related to quantum entanglement for $n-$qubit quantum systems. General monogamy inequalities are presented to the $\beta$th $(\beta\in(0,2))$ power of concurrence, negativity and the convex-roof extended…

量子物理 · 物理学 2018-12-05 Xue-Na Zhu , Shao-Ming Fei

Quantum entanglement in multipartite systems cannot be shared freely. In order to illuminate basic rules of entanglement sharing between qubits we introduce a concept of an entangled structure (graph) such that each qubit of a multipartite…

量子物理 · 物理学 2009-11-07 Martin Plesch , Vladimir Buzek

We present a family of correlations constraints that apply to all multipartite quantum systems of finite dimension. The size of this family is exponential in the number of subsystems. We obtain these relations by defining and investigating…

量子物理 · 物理学 2018-11-21 Christopher Eltschka , Felix Huber , Otfried Gühne , Jens Siewert

Monogamy relations characterize the distributions of quantum entanglement in multipartite systems. In this work, we present some tighter monogamy relations in terms of the power of the Tsallis-q and R\'{e}nyi-$\alpha$ entanglement in…

量子物理 · 物理学 2022-05-10 Rongxia Qi , Yanmin Yang , Jialing Zhang , Wei Chen

We characterize the multipartite entanglement of a system of n qubits in terms of the distribution function of the bipartite purity over all balanced bipartitions. We search for those (maximally multipartite entangled) states whose purity…

量子物理 · 物理学 2010-02-01 Paolo Facchi , Giuseppe Florio , Ugo Marzolino , Giorgio Parisi , Saverio Pascazio

Correlations in multiparticle systems are constrained by restrictions from quantum mechanics. A prominent example for these restrictions are monogamy relations, limiting the amount of entanglement between pairs of particles in a…

量子物理 · 物理学 2020-08-06 Nikolai Wyderka , Otfried Gühne

Characterizing multipartite quantum correlations beyond two parties is of utmost importance for building cutting edge quantum technologies, although the comprehensive picture is still missing. Here we investigate quantum correlations (QCs)…

量子物理 · 物理学 2023-07-27 Rivu Gupta , Saptarshi Roy , Shiladitya Mal , Aditi Sen De

One of the key manifestations of quantum mechanics is the phenomenon of quantum entanglement. While the entanglement of bipartite systems is already well understood, our knowledge of entanglement in multipartite systems is still limited.…

量子物理 · 物理学 2022-04-29 Adam Burchardt

We study the concurrence of four-qubit quantum states and provide analytical lower bounds of concurrence in terms of the monogamy inequality of concurrence for qubit systems. It is shown that these lower bounds are able to improve the…

量子物理 · 物理学 2014-02-11 Xue-Na Zhu , Shao-Ming Fei

Unlike classical correlations, entanglement cannot be freely shared among multiple parties. This unique feature of quantum systems is known as the monogamy of entanglement. While it holds for all multipartite pure states, its converse --…

量子物理 · 物理学 2026-05-08 Junhyeong An , Soojoon Lee

Using an inductive approach to classify multipartite entangled states under stochastic local operations and classical communication introduced recently by the authors [Phys. Rev. A 74, 052336 (2006)], we give the complete classification of…

量子物理 · 物理学 2007-05-23 L. Lamata , J. Leon , D. Salgado , E. Solano

We derive a classification and a measure of classical- and quantum-correlation of multipartite qubit, qutrit, and in general, $n$-level systems, in terms of SU$(n)$ representations of density matrices. We compare the measure for the case of…

量子物理 · 物理学 2010-10-26 Y. B. Band , I. Osherov

The set of correlations between particles in multipartite quantum systems is larger than those in classical systems. Nevertheless, it is subject to restrictions by the underlying quantum theory. In order to better understand the structure…

量子物理 · 物理学 2019-04-10 Nikolai Wyderka , Felix Huber , Otfried Gühne