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相关论文: Negativity and Concurrence as complete entanglemen…

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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

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 present an extension of the Wootters concurrence for the case of two qutrits in mixed states. The reduction of our extension to the case of two levels shows complete agreement with Wootters concurrence for two qubits. As an explicit…

量子物理 · 物理学 2007-05-23 César Herreño-Fierro , J. R. Luthra

Quantification of quantum entanglement plays a crucial role in the study of quantum information tasks. We present analytical lower bounds for both concurrence and 2-concurrence based on the correlation matrices of bipartite quantum states.…

量子物理 · 物理学 2025-03-21 Zhi-Bo Chen , Shao-Ming Fei

Quantification of entanglement is one of the most important problem in quantum information theory. In this work, we will study this problem by defining a physically realizable measure of entanglement for any arbitrary dimensional bipartite…

量子物理 · 物理学 2023-05-02 Anu Kumari , Satyabrata Adhikari

We use the entanglement negativity, a measure of entanglement for mixed states, to probe the structure of entanglement in the ground state of a topologically ordered system. Through analytical calculations of the negativity in the ground…

量子物理 · 物理学 2015-06-16 Yirun Arthur Lee , Guifre Vidal

We derive an experimentally observable lower bound on concurrence of mixed quantum states in terms of an entanglement witness, relating measurements on single states with those on two copies.

量子物理 · 物理学 2009-11-13 Florian Mintert

We argue that a complete characterisation of quantum correlations in bipartite systems of many dimensions may require a quantity which, even for pure states, does not reduce to a single number. Subsequently, we introduce multi-dimensional…

量子物理 · 物理学 2009-11-07 Piotr Badziag , Piotr Deuar , Michal Horodecki , Pawel Horodecki , Ryszard Horodecki

In this Brief Report we show the relation between three-qubit entanglement invariants and two-qubit concurrence with the help of projective measurements. How to use these invariants to represent the entanglement property of three-qubit pure…

量子物理 · 物理学 2009-11-13 Wen-Long Yang , Jing-Ling Chen

It is shown that, despite strong nonlinearity, entanglement of formation of two-qubit state can be measured without prior state reconstruction. Collective measurements on small number of copies are provided that allow to determine quantum…

量子物理 · 物理学 2007-05-23 Pawel Horodecki

Negativity is an entanglement monotone frequently used to quantify entanglement in bipartite states. Because negativity is a non-analytic function of a density matrix, existing methods used in the physics literature are insufficient to…

量子物理 · 物理学 2019-01-17 Jesse C. Cresswell , Ilan Tzitrin , Aaron Z. Goldberg

Concurrence and further entanglement quantifyers can be computed explicitly for channels of rank two if representable by just two Kraus operators. Almost all details are available for the subclass of rank two 1-qubit-channels. There is a…

量子物理 · 物理学 2007-05-23 Armin Uhlmann

We analyze the general nonclassicality of correlations of a composite quantum systems as measured by the negativity of quantumness. The latter corresponds to the minimum entanglement, as quantified by the negativity, that is created between…

量子物理 · 物理学 2013-07-31 Takafumi Nakano , Marco Piani , Gerardo Adesso

We propose entanglement negativity as a fine-grained probe of measurement-induced criticality. We motivate this proposal in stabilizer states, where for two disjoint subregions, comparing their "mutual negativity" and their mutual…

统计力学 · 物理学 2021-07-28 Shengqi Sang , Yaodong Li , Tianci Zhou , Xiao Chen , Timothy H. Hsieh , Matthew P. A. Fisher

A new entanglement measure, which is called D-concurrence, is proposed. Then the upper and lower bounds for D-concurrence are obtained and the relationship between D-concurrence and the usual concurrence of Wootters was established. In…

量子物理 · 物理学 2009-11-02 ZhiHao Ma , Xiao-Dong Zhang

We derive an analytical expression for the lower bound of the concurrence of mixed quantum states of composite 2xK systems. In contrast to other, implicitly defined entanglement measures, the numerical evaluation of our bound is…

量子物理 · 物理学 2009-11-10 Artur Lozinski , Andreas Buchleitner , Karol Zyczkowski , Thomas Wellens

Quantum systems generally exhibit different kinds of correlations. In order to compare them on equal footing, one uses the so-called distance-based approach where different types of correlations are captured by the distance to different…

量子物理 · 物理学 2022-02-25 Ray Ganardi , Marek Miller , Tomasz Paterek , Marek Żukowski

We present observable lower bounds for several bipartite entanglement measures including entanglement of formation, geometric measure of entanglement, concurrence, convex-roof extended negativity, and G-concurrence. The lower bounds…

量子物理 · 物理学 2016-10-20 Chengjie Zhang , Sixia Yu , Qing Chen , Haidong Yuan , C. H. Oh

In the presence of symmetry, entanglement measures of quantum many-body states can be decomposed into contributions arising from distinct symmetry sectors. Here we investigate the decomposability of negativity, a measure of entanglement…

统计力学 · 物理学 2018-09-12 Eyal Cornfeld , Moshe Goldstein , Eran Sela

While the detection of entanglement has been proved already to be quite a difficult task, experimental quantification of entanglement is even more challenging. In this work, we derive an analytical lower bound for the concurrence of a…

量子物理 · 物理学 2011-04-07 Zhi-Hao Ma , Zhi-Hua Chen , Jing-Ling Chen