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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

Quantum networks rely on the efficient distribution of entanglement to enable long-distance quantum communication and information processing. A key challenge in these networks is the design of routing protocols capable of maintaining high…

网络与互联网体系结构 · 计算机科学 2026-05-25 Javier Vecino Peñas , Ana Fernández-Vilas , Rebeca P. Díaz-Redondo , Sergio Gándara Gándara , Manuel Fernández-Veiga

We give a review on entanglement purification for bipartite and multipartite quantum states, with the main focus on theoretical work carried out by our group in the last couple of years. We discuss entanglement purification in the context…

量子物理 · 物理学 2009-11-13 W. Dür , H. J. Briegel

While commonly used entanglement criteria for continuous variable systems are based on quadrature measurements, here we study entanglement detection from measurements of the Wigner function. These are routinely performed in platforms such…

量子物理 · 物理学 2026-03-25 Shuheng Liu , Jiajie Guo , Qiongyi He , Matteo Fadel

We suggest an entanglement purification scheme for mixed entangled coherent states using 50-50 beam splitters and photodetectors. This scheme is directly applicable for mixed entangled coherent states of the Werner type, and can be useful…

量子物理 · 物理学 2007-05-23 H. Jeong , M. S. Kim

Entanglement purification allows the creation of qubit pairs of arbitrarily high fidelity with respect to a maximally entangled state, starting from a larger number of low-fidelity pairs. Purification requires quantum memory, a role for…

量子物理 · 物理学 2016-01-20 Adrian Auer , Guido Burkard

The quantum state of a light beam can be represented as an infinite dimensional density matrix or equivalently as a density on the plane called the Wigner function. We describe quantum tomography as an inverse statistical problem in which…

统计理论 · 数学 2007-06-13 L. M. Artiles , R. D. Gill , M. I. Guta

Entanglement purification describes a primitive in quantum information processing, where several copies of noisy quantum states are distilled into few copies of nearly-pure states of high quality via local operations and classical…

量子物理 · 物理学 2024-02-02 Lina Vandré , Otfried Gühne

We present an efficient entanglement purification protocol with hyperentanglement in which additional spatial entanglement is utilized to purify the two-particle polarization-entangled state. The bit-flip error and phase-flip error can be…

量子物理 · 物理学 2014-10-06 Xi-Han Li

We propose an entanglement purification scheme based on material qubits and ancillary coherent multiphoton states. We consider a typical QED scenario where material qubits implemented by two-level atoms fly sequentially through a cavity and…

量子物理 · 物理学 2016-03-14 József Zsolt Bernád , Juan Mauricio Torres , Ludwig Kunz , Gernot Alber

Detection of entanglement through partial knowledge of the quantum state is a challenge to implement efficiently. Here we propose a separability criterion for detecting bipartite entanglement in arbitrary dimensional quantum states using…

量子物理 · 物理学 2024-05-28 Shruti Aggarwal , Satyabrata Adhikari , A. S. Majumdar

Machine learning is actively being explored for its potential to design, validate, and even hybridize with near-term quantum devices. A central question is whether neural networks can provide a tractable representation of a given quantum…

量子物理 · 物理学 2018-06-19 Giacomo Torlai , Roger G. Melko

We consider the time-independent Wigner functions of phase-space quantum mechanics (a.k.a. deformation quantization) for a Morse potential. First, we find them by solving the $\ast$-eigenvalue equations, using a method that can be applied…

数学物理 · 物理学 2010-02-03 B. Belchev , M. A. Walton

We propose the Wigner separability entropy as a measure of complexity of a quantum state. This quantity measures the number of terms that effectively contribute to the Schmidt decomposition of the Wigner function with respect to a chosen…

量子物理 · 物理学 2012-05-23 Giuliano Benenti , Gabriel G. Carlo , Tomaz Prosen

Two qubits in pure entangled states going through separate paths and interacting with their own individual environments will gradually lose their entanglement. Here we show that the entanglement change of a two-qubit state due to amplitude…

量子物理 · 物理学 2014-01-23 Wei Song , Ming Yang , Zhuo-Liang Cao

Entanglement in high energy and and nuclear reactions is receiving great attention. A proper description of these reactions uses density matrices, and the express of entanglement in terms of {\it separability}. Quantum tomography bypasses…

高能物理 - 唯象学 · 物理学 2019-10-15 John C. Martens , John P. Ralston , Daniel Tapia Takaki

In conformal field theories, in contrast to \emph{adding} some auxiliary states into the bipartite mixed state $\rho_{AB}$ as the usual purifications do, we show a pure entangled state $\psi_{AB}$ can be constructed by \emph{subtracting}…

高能物理 - 理论 · 物理学 2025-01-28 Xin Jiang , Peng Wang , Houwen Wu , Haitang Yang

We study the use of entanglement purification for quantum communication over long distances. For distances much longer than the coherence length of a corresponding noisy quantum channel, the fidelity of transmission is usually so low that…

量子物理 · 物理学 2008-12-18 W. Dür , H. - J. Briegel , J. I. Cirac , P. Zoller

We investigate the role of entanglement in quantum phase transitions, and show that the success of the density matrix renormalization group (DMRG) in understanding such phase transitions is due to the way it preserves entanglement under…

量子物理 · 物理学 2007-05-23 Tobias J. Osborne , Michael A. Nielsen

We propose a new avenue towards distillation of quantum entanglement that is implemented by directly passing the entangled qubits through a mode-matched filter. This approach can be applied to a common class of entanglement impurities…

量子物理 · 物理学 2015-05-30 Yu-Ping Huang , Prem Kumar