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Concurrence introduced by Hill and Wootters [Phys. Rev. Lett. 78, 5022 (1997)], provides an important measure of entanglement for a general pair of qubits that is strictly positive entangled states and vanishes for all separable states. We…

量子物理 · 物理学 2022-06-01 S Nibedita Swain , Vineeth S. Bhaskara , Prasanta K. Panigrahi

In this paper, I will derive a measure of entanglement that coincides with the generalized concurrence for a general pure bi-and three-partite state based on wedge product. I will show that a further generalization of this idea to a general…

量子物理 · 物理学 2017-08-23 Hoshang Heydari

Despite the successful experimental generation and verification of genuine multipartite entanglement, several existing entanglement measures remain insufficient to reliably capture its presence. In this study, we overcome this challenge by…

量子物理 · 物理学 2025-10-20 Shruti Aggarwal

We obtain a simplified and obvious expression of "concurrence" in Wootters' measure of entanglement of a pair of qubits having no more than two non-zero eigenvalues in terms of concurrences of eigenstates and their simple combinations. It…

量子物理 · 物理学 2009-11-07 An Min Wang

Quantum entanglement is a crucial resource in quantum information processing, advancing quantum technologies. The greater the uncertainty in subsystems' pure states, the stronger the quantum entanglement between them. From the dual form of…

量子物理 · 物理学 2026-01-01 Dong-Ping Xuan , Zhong-Xi Shen , Wen Zhou , Zhi-Xi Wang , Shao-Ming Fei

Wootters [Phys. Rev. Lett. 80, 2245 (1998)] has given an explicit formula for the entanglement of formation of two qubits in terms of what he calls the concurrence of the joint density operator. Wootters's concurrence is defined with the…

量子物理 · 物理学 2009-11-07 Pranaw Rungta , V. Buzek , Carlton M. Caves , M. Hillery , G. J. Milburn

Entanglement monotones, such as the concurrence, are useful tools to characterize quantum correlations in various physical systems. The computation of the concurrence involves, however, difficult optimizations and only for the simplest case…

量子物理 · 物理学 2012-11-20 Zhi-Hua Chen , Zhi-Hao Ma , Otfried Gühne , Simone Severini

Since entanglement is not an observable per se, measuring its value in practice is a difficult task. Here we propose a protocol for quantifying a particular entanglement measure, namely concurrence, of an arbitrary two-qubit pure state via…

量子物理 · 物理学 2017-05-10 Mikko Tukiainen , Hirokazu Kobayashi , Yutaka Shikano

Via a multidimensional complementarity relation we derive a novel operational entanglement measure for any discrete quantum system, i.e. for any multidimensional and multipartite system. This new measure admits a separation into different…

量子物理 · 物理学 2009-11-13 Beatrix C. Hiesmayr , Marcus Huber

The genuine concurrence is a standard quantifier of multipartite entanglement, detection and quantification of which still remains a difficult problem from both theoretical and experimental point of view. Although many efforts have been…

量子物理 · 物理学 2021-05-14 Kateřina Jiráková , Artur Barasiński , Antonín Černoch , Karel Lemr , Jan Soubusta

We construct an entanglement measure that coincides with the generalized concurrence for a general pure bipartite state based on wedge product. Moreover, we construct an entanglement measure for pure multi-qubit states, which are…

量子物理 · 物理学 2007-05-23 Hoshang Heydari

We propose and examine several candidates for universal multipartite entanglement measures. The most promising candidate for applications needing entanglement in the full Hilbert space is the ent-concurrence, which detects all entanglement…

量子物理 · 物理学 2018-04-19 Samuel R. Hedemann

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

Quantum entanglement and quantum entropy are crucial concepts in the study of multipartite quantum systems. In this work we show how the notion of concurrence vector, re-expressed in a particularly useful form, provides new insights and…

量子物理 · 物理学 2024-02-16 A. Bernal , J. A. Casas , J. M. Moreno

Quantifying genuine entanglement is a crucial task in quantum information theory. Based on the geometric mean of bipartite $\alpha$-concurrences among all bipartitions, we present a class of well-defined genuine multipartite entanglement…

量子物理 · 物理学 2025-05-12 Ke-Ke Wang , Zhi-Wei Wei , Shao-Ming Fei

In a recent paper, Rungta et. al. [Phys. Rev. A, 64, 042315, 2001] introduced a measure of mixed-state entanglement called the I-concurrence for arbitrary pairs of qudits. We find an exact formula for an entanglement measure closely related…

量子物理 · 物理学 2009-11-07 Tobias J. Osborne

In contrast to abstract statistical analyses in the literature, we present a concrete physical diagrammatic model of entanglement characterization and measure with its underlying discrete phase-space physics. This paper serves as a…

量子物理 · 物理学 2023-05-30 Felix A. Buot

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

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

Entanglement concurrence is an important bipartite entanglement measure that has found wide applications in quantum technologies. In this work, inspired by unified entropy, we introduce a two-parameter family of entanglement measures,…

量子物理 · 物理学 2026-02-02 Chen-Ming Bai , Yu Luo
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