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An important measure of bipartite entanglement is the entanglement of formation, which is defined as the minimum average pure state entanglement of all decompositions realizing a given state. A decomposition which achieves this minimum is…

量子物理 · 物理学 2007-05-23 Tobias Prager

Methods for distilling maximally entangled tripartite (GHZ) states from arbitrary entangled tripartite pure states are described. These techniques work for virtually any input state. Each technique has two stages which we call primary and…

量子物理 · 物理学 2009-11-06 Oliver Cohen , Todd A. Brun

We use Robust Semidefinite Programs and Entanglement Witnesses to study the distillability of Werner states. We perform exact numerical calculations which show 2-undistillability in a region of the state space which was previously…

量子物理 · 物理学 2009-11-13 Reinaldo O. Vianna , Andrew C. Doherty

We study the separability of bipartite quantum systems in arbitrary dimensions based on the Bloch representation of density matrices. We present two separability criteria for quantum states in terms of the matrices $T_{\alpha\beta}(\rho)$…

量子物理 · 物理学 2023-05-11 Xue-Na Zhu , Jing Wang , Gui Bao , Ming Li , Shu-Qian Shen , Shao-Ming Fei

We show how the separability problem is dual to that of decomposing any given matrix into a conic combination of rank-one partial isometries, thus offering a duality approach different to the positive maps characterization problem. Several…

量子物理 · 物理学 2007-05-23 D. Salgado , J. L. Sanchez-Gomez , M. Ferrero

Bipartite entanglement purification is the conversion of copies of weakly entangled pairs shared between two separated parties into a smaller number of strongly entangled shared pairs using only local operations and classical communication.…

量子物理 · 物理学 2025-11-14 Matthew Barber , Stefano Pirandola

We experimentally demonstrate entanglement distillation of the two mode squeezed state. Applying the annihilation operator to both modes, we increase the fraction of the two-photon component in the state, resulting in the increase of both…

量子物理 · 物理学 2014-02-26 Yuri Kurochkin , Adarsh S. Prasad , A. I. Lvovsky

We present a way for the entanglement distillation of genuine mixed state. Different from the conventional mixed state in entanglement purification protocol, each components of the mixed state in our protocol is a less-entangled state,…

量子物理 · 物理学 2014-04-15 Yu-Bo Sheng , Lan Zhou

Explicit density learners are becoming an increasingly popular technique for generative models because of their ability to better model probability distributions. They have advantages over Generative Adversarial Networks due to their…

机器学习 · 计算机科学 2025-06-27 Steven Walton , Valeriy Klyukin , Maksim Artemev , Denis Derkach , Nikita Orlov , Humphrey Shi

We consider bipartite quantum state discrimination using positive-partial-transpose measurements and show that minimum-error discrimination by positive-partial-transpose measurements is closely related to entanglement witness. By using the…

量子物理 · 物理学 2023-05-18 Donghoon Ha , Jeong San Kim

We investigate the possibility of characterizing two-party entanglement by measuring correlations of Stokes operators in polarized bright light beams. We adapt a general separability criterion to such operators. We then show that…

量子物理 · 物理学 2009-11-10 Francesca Alessandrini , Stefano Mancini , Paolo Tombesi

We put forward an operational degree of polarization that can be extended in a natural way to fields whose wave fronts are not necessarily planar. This measure appears as a distance from a state to the set of all its…

量子物理 · 物理学 2015-06-22 G. Bjork , H. de Guise , A. B. Klimov , P. de la Hoz , L. L. Sanchez-Soto

The statistics of local measurements of joint quantum systems can sometimes be used to distinguish the spatiotemporal structure in which they were measured. We first prove that every bipartite separable density matrix is temporally…

量子物理 · 物理学 2026-01-05 Minjeong Song , Arthur J. Parzygnat

Via nonlocality distillation, a number of copies of a given nonlocal correlation can be turned into a new correlation displaying a higher degree of nonlocality. Apart from its clear relevance in situations where nonlocality is a resource,…

量子物理 · 物理学 2019-07-10 S. G. A. Brito , M. G. M. Moreno , A. Rai , R. Chaves

We prove that it is impossible to distill more entanglement from a single copy of a two-mode bipartite entangled Gaussian state via LOCC Gaussian operations. More generally, we show that any hypothetical distillation protocol for Gaussian…

量子物理 · 物理学 2009-11-07 Jaromir Fiurasek

We consider entanglement distillation under the assumption that the input states are allowed to be correlated among each other. We hence replace the usually considered independent and identically-distributed hypothesis by the weaker…

量子物理 · 物理学 2013-08-27 Fernando G. S. L. Brandao , Jens Eisert

We give complete algebraic characterizations of the $L^{p}$-dissipativity of the Dirichlet problem for some systems of partial differential operators of the form $\partial_{h}({\mathscr A}^{hk}(x)\partial_{k})$, were ${\mathscr A}^{hk}(x)$…

偏微分方程分析 · 数学 2007-05-23 Alberto Cialdea , Vladimir Maz'ya

For two qubits and for general bipartite quantum systems, we give a simple spectral condition in terms of the ordered eigenvalues of the density matrix which guarantees that the corresponding state is separable.

量子物理 · 物理学 2009-11-13 M. E. Gabach Clement , G. A. Raggio

We introduce a class of bipartite entangled continuous variable states that are positive under partial transposition operation, i.e., PPT bound entangled. These states are based on realistic preparation procedures in optical systems, being…

量子物理 · 物理学 2015-06-15 F. E. S. Steinhoff , M. C. de Oliveira , J. Sperling , W. Vogel

A new criterion necessary and sufficient for the separability of pure bipartite systems for arbitrary finite dimensions is demonstrated; and the corresponding finer quantitative measures or characterizations of entanglement (beyond mere…

量子物理 · 物理学 2013-04-22 Che-Hsu Li