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We derive an integral convex combination of product states for a range of separable Werner states. Our method consists of expanding the sought-after local density operators in terms of Wigner operators. For dimension d=2, our decomposition…

量子物理 · 物理学 2008-09-03 R. G. Unanyan , H. Kampermann , D. Bruss

We present two results on multiqubit Werner states, defined to be those states that are invariant under the collective action of any given single-qubit unitary that acts simultaneously on all the qubits. Motivated by the desire to…

量子物理 · 物理学 2023-05-10 David W. Lyons , Cristina Mullican , Adam Rilatt , Jack D. Putnam

In this report, a scheme different from the PT and Wootters concurrence is developed to acquire a criterion to investigate the bipartite separability of the Werner state.

量子物理 · 物理学 2013-10-29 Ming-Chung Tsai , Po-Chung Chen , Wei-Chi Su , Zheng-Yao Su

An extension to computational mechanics complexity measure is proposed in order to tackle quantum states complexity quantification. The method is applicable to any $n-$partite state of qudits through some simple modifications. A Werner…

计算物理 · 物理学 2011-10-28 Yuri Campbell , José Roberto Castilho Piqueira

Motivated by the growing interest in the applications of quantum information science in astrophysical settings, especially for the neutrino transport in compact objects where three-flavors of neutrinos need to be mapped on qutrits, we…

量子物理 · 物理学 2024-06-12 A. B. Balantekin , Anna M. Suliga

A `Werner gap' is the range of relevant parameters characterising a quantum state for which it is both entangled and admits local hidden variable model. Werner showed that the gap becomes maximal for entanglement mixed with white noise if…

量子物理 · 物理学 2014-10-20 Minh Cong Tran , Wieslaw Laskowski , Tomasz Paterek

A conceptually simpler proof of the separability criterion for two-qubit systems, which is referred to as "Hefei inequality" in literature, is presented. This inequality gives a necessary and sufficient separability criterion for any mixed…

量子物理 · 物理学 2017-04-03 Kazuo Fujikawa , C. H. Oh

A general Werner-type state is studied from two viewpoints: (i) an application of dynamical interaction of the objective system with its environment, represented by a unital positive operator-valued measure (POVM), which ensures increase of…

统计力学 · 物理学 2010-01-22 Sumiyoshi Abe , A. R. Usha Devi , A. K. Rajagopal

Conventional methods of measuring entanglement in a two-qubit photonic mixed state require the detection of both qubits. We generalize a recently introduced method which does not require the detection of both qubits, by extending it to…

量子物理 · 物理学 2023-11-30 Salini Rajeev , Mayukh Lahiri

The decompositions of separable Werner state, and also isotropic state, are well-known tough issues in quantum information theory, in this work we investigate them in the Bloch vector representation, exploring the symmetric informationally…

量子物理 · 物理学 2021-08-10 Ma-Cheng Yang , Jun-Li Li , Cong-Feng Qiao

We investigate the relationship between projective measurements and positive operator-valued measures (POVMs) in the task of quantum steering. A longstanding open problem in the field has been whether POVMs are more powerful than projective…

量子物理 · 物理学 2025-01-06 Yujie Zhang , Eric Chitambar

We present a family of three-qubit quantum states with a basic local hidden variable model. Any von Neumann measurement can be described by a local model for these states. We show that some of these states are genuine three-partite…

量子物理 · 物理学 2007-05-23 Geza Toth , Antonio Acin

A geometric understanding of entanglement is proposed based on local measurements. Taking recourse to the general structure of density matrices in the framework of Euclidean geometry, we first illustrate our approach for bipartite Werner…

量子物理 · 物理学 2017-02-10 Aryaman A. Patel , Prasanta K. Panigrahi

We study the properties of the discrete Wigner distribution for two qubits introduced by Wotters. In particular, we analyze the entanglement properties within the Wigner distribution picture by considering the negativity of the Wigner…

量子物理 · 物理学 2009-11-11 R. Franco , V. Penna

We prove, using symplectic methods and The Wigner formalism, a refinement of a criterion due to Werner and Wolf for the separability of bipartite Gaussian mixed states in an arbitrary number of dimensions. We use our result to show that one…

量子物理 · 物理学 2018-09-26 Maurice A. de Gosson

We present a description of finite dimensional quantum entanglement, based on a study of the space of all convex decompositions of a given density matrix. On this space we construct a system of real polynomial equations describing separable…

量子物理 · 物理学 2008-08-27 J. K. Korbicz , F. Hulpke , A. Osterloh , M. Lewenstein

Great progress has been made recently in establishing conditions for separability of a particular class of Werner densities on the tensor product space of $n$ $d$--level systems (qudits). In this brief note we complete the process of…

量子物理 · 物理学 2009-11-06 Arthur O. Pittenger , Morton H. Rubin

We propose a theoretical scheme of quantum nondemolition measurement of two-qubit Werner state. We discuss our scheme with the two qubits restricted in a local place and then extend the scheme to the case in which two qubits are separated.…

量子物理 · 物理学 2011-10-28 Jia-sen Jin , Chang-shui Yu , Pei Pei , He-shan Song

We investigate the separability, nonlocality and squeezing of continuous-variable analogue of the Werner state: a mixture of pure two-mode squeezed vacuum state with local thermal radiations. Utilizing this Werner state, coherent-state…

量子物理 · 物理学 2016-09-08 Ladislav Mista , Radim Filip , Jaromir Fiurasek

Werner and Wolf have proven in Phys. Rev. Lett. 86(16) (2001) a very elegant necessary and sufficient condition for a bosonic continuous variable bipartite Gaussian mixed quantum state to be separable. This condition is, however, difficult…

量子物理 · 物理学 2022-10-18 Maurice de Gosson
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