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The monogamy relation for quantum correlations is not satisfied by all measures for all multiparty quantum states. We prove that an arbitrary quantum state which is nonmonogamous for negativity will become monogamous if a finite number of…

量子物理 · 物理学 2018-07-13 Saptarshi Roy , Tamoghna Das , Asutosh Kumar , Aditi Sen De , Ujjwal Sen

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

Physical principles constrain the way nonlocal correlations can be distributed among distant parties. These constraints are usually expressed by monogamy relations that bound the amount of Bell inequality violation observed among a set of…

量子物理 · 物理学 2014-11-26 R. Augusiak , M. Demianowicz , M. Pawłowski , J. Tura , A. Acín

Quantum coherence is the most fundamental of all quantum quantifiers, underlying other well-known quantities such as entanglement, quantum discord, and Bell correlations. It can be distributed in a multipartite system in various ways -- for…

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…

量子物理 · 物理学 2009-07-20 Francesco Buscemi , Gilad Gour , Jeong San Kim

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…

量子物理 · 物理学 2017-03-07 Yu Guo

We provide a sufficient condition for the monogamy inequality of multi-party quantum entanglement of arbitrary dimensions in terms of entanglement of formation. Based on the classical-classical-quantum(ccq) states whose quantum parts are…

量子物理 · 物理学 2021-02-02 Jeong San Kim

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…

量子物理 · 物理学 2023-12-19 Zhong-Xi Shen , Ke-Ke Wang , Shao-Ming Fei

We examine here the proposition that all multiparty quantum states can be made monogamous by considering positive integral powers of any quantum correlation measure. With Rajagopal-Rendell quantum deficit as the measure of quantum…

量子物理 · 物理学 2015-06-22 P. J. Geetha , Sudha , A. R. Usha Devi

The key ingredient of the approach, presented in this paper, is the factorization property of $SU(2)$ coherent states upon splitting or decay of a quantum spin system. In this picture, the even and odd spin coherent states are viewed as…

量子物理 · 物理学 2013-10-30 M. Daoud , R. Ahl Laamara , W. Kaydi

Quantum information theory has considerably helped in the understanding of quantum many-body systems. The role of quantum correlations and in particular, bipartite entanglement, has become crucial to characterise, classify and simulate…

量子物理 · 物理学 2018-07-27 Gabriele De Chiara , Anna Sanpera

Quantum entanglement for multiparty system has a unique feature when it comes to sharing its property among various subsystems. This is famously stated as the monogamy of entanglement. The traditional monogamy of concurrence for tripartite…

量子物理 · 物理学 2022-05-04 Ida Mishra , Arun K Pati , Sohail

We explore the quantum correlation distribution in multipartite quantum states based on the square of quantum discord (SQD). For tripartite quantum systems, we derive the necessary and sufficient condition for the SQD to satisfy the…

量子物理 · 物理学 2015-06-05 Yan-Kui Bai , Na Zhang , Ming-Yong Ye , Z. D. Wang

Negativity is regarded as an important measure of entanglement in quantum information theory. In contrast to other measures of entanglement, it is easily computable for bipartite states in arbitrary dimensions. In this paper, based on the…

量子物理 · 物理学 2010-04-30 Yong-Cheng Ou , Mark S. Byrd

We consider multipartite states of qubits and prove that their bipartite quantum entanglement, as quantified by the concurrence, satisfies a monogamy inequality conjectured by Coffman, Kundu, and Wootters. We relate this monogamy inequality…

量子物理 · 物理学 2007-05-23 Tobias J. Osborne , Frank Verstraete

The mutual information has been successfully used as a measure of correlation strength between quantum systems, especially for bipartite systems. Here we examine the use of this measure for multipartite quantum systems. For system of qubits…

量子物理 · 物理学 2016-10-04 Simon James Daniel Phoenix

We introduce the concept of monogamy deficit for quantum correlation by combining together two types of monogamy inequalities depending on different measurement sides. For tripartite pure state, we demonstrate a relation which connects two…

量子物理 · 物理学 2013-07-05 Si-Yuan Liu , Bo Li , Wen-Li Yang , Heng Fan

We review some concepts and properties of quantum correlations, in particular multipartite measures, geometric measures and monogamy relations. We also discuss the relation between classical and total correlations

量子物理 · 物理学 2017-06-13 Thiago R. de Oliveira

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…

量子物理 · 物理学 2020-06-17 Meng-Li Guo , Bo-Li , Zhi-Xi Wang , Shao-Ming Fei

Information and correlations in a quantum system are closely related through the process of measurement. We explore such relation in a many-body quantum setting, effectively bridging between quantum metrology and condensed matter physics.…

量子物理 · 物理学 2012-06-20 Luigi Amico , Davide Rossini , Alioscia Hamma , Vladimir E. Korepin