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Quantifying entanglement is a work in progress which is important for the active field of quantum information and computation. A measure of bipartite pure state entanglement is proposed here, named entanglement coherence, which is…

量子物理 · 物理学 2022-02-15 Neha Pathania , Tabish Qureshi

We derive quantitative relations among several naturally defined measures of classical and nonclassical correlations in a bipartite quantum state. We also obtain an upper bound of entanglement irreversibility and a sufficient condition for…

量子物理 · 物理学 2012-07-30 Shengjun Wu

We study the relative strength of classical and quantum correlations, as measured by discord, for two-qubit states. Quantum correlations appear only in the presence of classical correlations, while the reverse is not always true. We…

量子物理 · 物理学 2011-01-17 Fernando Galve , Gian Luca Giorgi , Roberta Zambrini

Quantifying genuine entanglement is a key task in quantum information theory. We study the quantification of genuine multipartite entanglement for four-qubit systems. Based on the concurrence of nine different classes of four-qubit states,…

量子物理 · 物理学 2023-07-19 Meng-Li Guo , Zhi-Xiang Jin , Bo Li , Shao-Ming Fei

We study the ordering of two-qubit states with respect to the degree of bipartite entanglement using the Wootters concurrence -- a measure of the entanglement of formation, and the negativity -- a measure of the entanglement cost under the…

量子物理 · 物理学 2009-08-03 Adam Miranowicz , Andrzej Grudka

We study emerging notions of quantum correlations in compound systems. Based on different definitions of quantumness in individual subsystems, we investigate how they extend to the joint description of a composite system. Especially, we…

量子物理 · 物理学 2017-06-12 J. Sperling , E. Agudelo , I. A. Walmsley , W. Vogel

The problem of the relationship between entanglement and two-qubit systems in which it is embedded is central to the quantum information theory. This paper suggests that the concurrence hierarchy as an entanglement measure provides an…

量子物理 · 物理学 2009-11-11 Mahmoud Abdel-Aty

We study the entanglement between a certain qubit and the remaining system in rank- 2 mixed states prepared on the quantum computer. The protocol, which we propose for this purpose, is based on the relation of geometric measure of…

量子物理 · 物理学 2021-05-24 A. R. Kuzmak , V. M. Tkachuk

Quantum entanglement and its paradoxical properties hold the key to an information processing revolution. Much attention has focused recently on the challenging problem of characterizing entanglement. Entanglement for a two qubit system is…

量子物理 · 物理学 2009-11-07 Vivien M Kendon , Kae Nemoto , William J Munro

We discuss properties of entanglement measures called I-concurrence and tangle. For a bipartite pure state, I-concurrence and tangle are simply related to the purity of the marginal density operators. The I-concurrence (tangle) of a…

量子物理 · 物理学 2013-05-29 Pranaw Rungta , Carlton M. Caves

We classify multipartite entanglement in a unified manner, focusing on a duality between the set of separable states and that of entangled states. Hyperdeterminants, derived from the duality, are natural generalizations of entanglement…

量子物理 · 物理学 2007-05-23 Akimasa Miyake , Miki Wadati

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

The degree to which a pure quantum state is entangled can be characterized by the distance or angle to the nearest unentangled state. This geometric measure of entanglement is explored for bi-partite and multi-partite pure and mixed states.…

量子物理 · 物理学 2009-05-18 Tzu-Chieh Wei

In recent years considerable progress has been made towards developing a general theory of quantum entanglement. In particular, criteria to decide whether a given quantum state is entangled are of high theoretical and practical interest.…

量子物理 · 物理学 2025-01-27 Shruti Aggarwal

Entanglement and steering are used to describe quantum inseparabilities. Steerable states form a strict subset of entangled states. A natural question arises concerning how much territory steerability occupies entanglement for a general…

量子物理 · 物理学 2021-09-01 Xiao-Gang Fan , Huan Yang , Fei Ming , Zhi-Yong Ding , Dong Wang , Liu Ye

We establish a quantitative relation between local spin polarization and quantum entanglement in two-qubit systems by deriving an upper bound on the concurrence at fixed local polarizations, showing that increasing polarization constrains…

高能物理 - 唯象学 · 物理学 2026-05-25 Yu-Xuan Liu , Wei Qi , Luo-Ting He , Bo-Wen Xiao

We present a way of experimentally determining the concurrence in terms of the expectation values of local observables for arbitrary multipartite pure states. In stead of the joint measurements on two copies of a state in the experiment for…

量子物理 · 物理学 2015-05-14 Shao-Ming Fei , Ming-Jing Zhao , Kai Chen , Zhi-Xi Wang

We obtain analytical lower bounds on the concurrence of bipartite quantum systems in arbitrary dimensions related to the violation of separability conditions based on local uncertainty relations and on the Bloch representation of density…

量子物理 · 物理学 2009-11-13 Julio I. de Vicente

We study the entanglement of unitary operators on $d_1\times d_2$ quantum systems. This quantity is closely related to the entangling power of the associated quantum evolutions. The entanglement of a class of unitary operators is quantified…

量子物理 · 物理学 2009-11-07 X. Wang , P. Zanardi

Correlations obtained from sequences of measurements have been employed to distinguish among different physical theories or to witness the dimension of a system. In this work we show that they can also be used to establish semi-device…

量子物理 · 物理学 2020-10-23 Cornelia Spee