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Quantifying experimentally created entanglement could in principle be accomplished by measuring the entire density matrix and calculating an entanglement measure of choice thereafter. Due to the tensor-structure of the Hilbert space, this…

量子物理 · 物理学 2015-05-18 H. Wunderlich , S. Virmani , M. B. Plenio

Quantum entanglement plays a key role in quantum computation and quantum information processing. It is of great significance to find efficient and experimentally friend separability criteria to detect entanglement. In this paper, we firstly…

量子物理 · 物理学 2024-05-09 Yiding Wang , Tinggui Zhang , Xiaofen Huang , Shao-Ming Fei

It is shown that for a given bipartite density matrix and by choosing a suitable separable set (instead of product set) on the separable-entangled boundary, optimal Lewenstein-Sanpera (L-S) decomposition can be obtained via optimization for…

量子物理 · 物理学 2009-11-10 S. J. Akhtarshenas , M. A. Jafarizadeh

We propose an entanglement tensor to compute the entanglement of a general pure multipartite quantum state. We compare the ensuing tensor with the concurrence for bipartite state and apply the tensor measure to some interesting examples of…

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

We study partial coherence and its connections with entanglement. First, we provide a sufficient and necessary condition for bipartite pure state transformation under partial incoherent operations: A bipartite pure state can be transformed…

量子物理 · 物理学 2023-07-17 Sunho Kim , Chunhe Xiong , Shunlong Luo , Asutosh Kumar , Junde Wu

In this paper, we study the multipartite entanglement properties of graph states up to seven qubits. Our analysis shows that the generalized concurrence measure is more efficient than geometric entanglement measure for measuring…

量子物理 · 物理学 2023-07-20 Saeed Haddadi , Ahmad Akhound , Mohammad Ali Chaman Motlagh

We suggest a quantum measurement model in an ion trap which specifies the probability distribution of two, distinct internal ground states of a trapped four-level ion. The external degrees of motion of the four-level ion constitute the…

量子物理 · 物理学 2009-11-07 Matthias Jakob , Yonatan Abranyos , Janos A. Bergou

For a given pure state of multipartite system, the concurrence vector is defined by employing the defining representation of generators of the corresponding rotation groups. The norm of concurrence vector is considered as a measure of…

量子物理 · 物理学 2009-11-10 S. J. Akhtarshenas

We present observable upper bounds of squared concurrence, which are the dual inequalities of the observable lower bounds introduced in [F. Mintert and A. Buchleitner, Phys. Rev. Lett. 98, 140505 (2007)] and [L. Aolita, A. Buchleitner and…

量子物理 · 物理学 2009-11-13 Cheng-Jie Zhang , Yan-Xiao Gong , Yong-Sheng Zhang , Guang-Can Guo

An asymptotic entanglement measure for any bipartite states is derived in the light of the dense coding capacity optimized with respect to local quantum operations and classical communications. General properties and some examples with…

量子物理 · 物理学 2015-06-26 Tohya Hiroshima

In this paper we investigate two different entanglement measures in the case of mixed states of two qubits. We prove that the negativity of a state can never exceed its concurrence and is always larger then $\sqrt{(1-C)^2+C^2}-(1-C)$ where…

量子物理 · 物理学 2009-11-07 Frank Verstraete , Koenraad Audenaert , Jeroen Dehaene , Bart De Moor

We derive an explicit expression for geometric measure of entanglement for spin and other quantum system. A relation of entanglement in pure state with the mean value of spin is given, thus, at the experimental level the local measurement…

量子物理 · 物理学 2015-10-12 Andrzej M. Frydryszak , Volodymyr M. Tkachuk

We propose a straightforward method to determine the maximal entanglement of pure states using the criterion of maximal I-concurrence, a measure of entanglement. The square of concurrence for a bipartition $X|X^\prime$ of a pure state is…

量子物理 · 物理学 2025-01-28 Subhasish Bag , Ramita Sarkar , Prasanta K. Panigrahi

We derive an analytical lower bound for the concurrence of a bipartite quantum state in arbitrary dimension. A functional relation is established relating concurrence, the Peres-Horodecki criterion and the realignment criterion. We…

量子物理 · 物理学 2007-05-23 Kai Chen , Sergio Albeverio , Shao-Ming Fei

We show that the maximum entanglement in a composite system corresponds to the maximum uncertainty and maximum correlation of local measurements.

量子物理 · 物理学 2007-05-23 Alexander A. Klyachko , Alexander S. Shumovsky

We provide analytical lower and upper bounds for entanglement of formation for bipartite systems, which give a direct relation between the bounds of entanglement of formation and concurrence, and improve the previous results. Detailed…

量子物理 · 物理学 2012-11-05 Xue-Na Zhu , Shao-Ming Fei

Hilbert-Schmidt distance reduces to Euclidean distance in Bell decomposable states. Based on this, entanglement of these states are obtained according to the protocol proposed in Ref. [V. Vedral et al, Phys. Rev. Lett. 78, 2275 (1995)] with…

量子物理 · 物理学 2007-05-23 S. J. Akhtarshenas , M. A. Jafarizadeh

Quantum entanglement plays a crucial role in quantum information, quantum teleportation and quantum computation. The information about the entanglement content between subsystems of the composite system is encoded in the Schmidt…

统计力学 · 物理学 2013-05-07 Santosh Kumar , Akhilesh Pandey

We present an analytical lower bound of multipartite concurrence based on the generalized Bloch representations of density matrices. It is shown that the lower bound can be used as an effective entanglement witness of genuine multipartite…

量子物理 · 物理学 2016-08-05 Jing Wang , Ming Li , Hongfang Li , Shao-Ming Fei , Xianqing Li-Jost

For two qubits in a pure state there exists a one-to-one relation between the entanglement measure (the concurrence ${\cal C}$) and the maximal violation ${\cal M}$ of a Bell inequality. No such relation exists for the three-qubit analogue…

量子物理 · 物理学 2007-05-23 C. Emary , C. W. J. Beenakker