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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

Entanglement sharing among sites of one-particle states is considered using the measure of concurrence. These are the simplest in an hierarchy of number-specific states of many qubits and corresponds to ``one-magnon'' states of spins. We…

量子物理 · 物理学 2009-11-07 Arul Lakshminarayan , V. Subrahmanyam

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, already present in a number of settings [A. Shimony, Ann. NY.…

量子物理 · 物理学 2007-05-23 Tzu-Chieh Wei , Paul M. Goldbart

Quantum entanglement is essential to the development of quantum computation, communications, and technology. The controlled SWAP test, widely used for state comparison, can be adapted to an efficient and useful test for entanglement of a…

量子物理 · 物理学 2022-01-12 Steph Foulds , Viv Kendon , Tim Spiller

Although genuine multipartite entanglement (GME), as one quantum resource, is indispensable in quantum information processing, most of the existing measures cannot detect GME faithfully. In this paper, we present a novel GME measure, namely…

量子物理 · 物理学 2024-09-30 Dong-Dong Dong , Li-Juan Li , Xue-Ke Song , Liu Ye , Dong Wang

We review two general criteria for deciding whether a pure bipartite quantum state describing a system of two identical particles is entangled or not. The first one considers the possibility of attributing a complete set of objective…

量子物理 · 物理学 2009-11-11 GianCarlo Ghirardi , Luca Marinatto

Some features of the global entanglement of a composed quantum system can be quantified in terms of the purity of a balanced bipartition, made up of half of its subsystems. For the given bipartition, purity can always be minimized by taking…

量子物理 · 物理学 2011-05-10 P. Facchi , G. Florio , U. Marzolino , G. Parisi , S. Pascazio

The Schmidt coefficients capture all entanglement properties of a pure bipartite state and therefore determine its usefulness for quantum information processing. While the quantification of the corresponding properties in mixed states is…

量子物理 · 物理学 2019-04-08 Gael Sentís , Christopher Eltschka , Otfried Gühne , Marcus Huber , Jens Siewert

We argue from the point of view of statistical inference that the quantum relative entropy is a good measure for distinguishing between two quantum states (or two classes of quantum states) described by density matrices. We extend this…

量子物理 · 物理学 2009-10-30 V. Vedral , M. B. Plenio , K. Jacobs , P. L. Knight

We propose that the entanglement of mixed states is characterised properly in terms of a probability density function $\mathcal{P}_{\rho}(\mathcal{E})$. There is a need for such a measure since the prevalent measures (such as…

量子物理 · 物理学 2009-11-13 Shanthanu Bhardwaj , V. Ravishankar

An interference experiment with entangled particles is theoretically analyzed, where one of the entangled pair (particle 1) goes through a multi-slit before being detected at a fixed detector. In addition, one introduces a mechanism for…

量子物理 · 物理学 2019-02-15 Misba Afrin , Tabish Qureshi

A convergent iterative procedure is proposed for the calculation of the relative entropy of entanglement of a given bipartite quantum state. When this state turns out to be non-separable the algorithm provides the corresponding optimal…

量子物理 · 物理学 2009-11-07 Jaroslav Rehacek , Zdenek Hradil

We investigate a two-qubit system to understand the relationship between concurrence and mutual information, where the former determines the amount of quantum entanglement, whereas the latter is its classical residue after performing local…

量子物理 · 物理学 2022-10-05 Yong Kwon , Seung Ki Baek , Jaegon Um

We show that an entanglement measure called relative entropy of entanglement satisfies a strong continuity condition. If two states are close to each other then so are their entanglements per particle pair in this measure. It follows in…

量子物理 · 物理学 2007-05-23 Matthew J. Donald , Michal Horodecki

We investigate parameterized multipartite entanglement measures from the perspective of $k$-nonseparability in this paper. We present two types of entanglement measures in $n$-partite systems, $q$-$k$-ME concurrence $(q\geq2,~2\leq k\leq…

量子物理 · 物理学 2025-03-26 Hui Li , Ting Gao , Fengli Yan

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

We propose a entanglement measure for pure $M \otimes N$ bipartite quantum states. We obtain the measure by generalizing the equivalent measure for a $2 \otimes 2$ system, via a $2 \otimes 3$ system, to the general bipartite case. The…

量子物理 · 物理学 2016-08-16 Hoshang Heydari , Gunnar Björk

Quantifying genuine entanglement is a crucial task in quantum information theory.In this work, we give an approach of constituting genuine $m$-partite entanglement measures from any bipartite entanglement and any $k$-partite entanglement…

量子物理 · 物理学 2022-04-05 Yu Guo , Yanping Jia , Xinping Li , Lizhong Huang

Quantum entanglement reflects itself through non-local correlations among the subsystems of a quantum system. This thesis focuses on constructing a complete set of local invariants characterizing symmetric two qubit systems and analyzing…

量子物理 · 物理学 2009-07-14 M. S. Uma

We show that for tripartite quantum pure states of qubits, all the kinds of entanglement in terms of SLOCC classification are experimentally measurable by simple projective measurements, provided that four copies of the composite quantum…

量子物理 · 物理学 2009-11-13 Chang-shui Yu , He-shan Song