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An uncertainty relation is introduced for a symmetric arrangement of three mutually unbiased bases in continuous variable phase space, and then used to derive a bipartite entanglement criterion based on the variance of global operators…

量子物理 · 物理学 2017-02-17 E. C. Paul , D. S. Tasca , Lukasz Rudnicki , S. P. Walborn

After introducing the partially separable concept, we proved the equivalence between the partial separability of a given $m$-partite subsystem with $m$ qubits and the purity of states of this $m$-partite subsystem for a pure state in…

量子物理 · 物理学 2007-05-23 An Min Wang

A decomposition form is introduced in this report to establish a criterion for the bi-partite separability of Bell diagonal states. A such criterion takes a quadratic form of the coefficients of a given Bell diagonal states and can be…

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

Entanglement is known to be a relative notion, defined with respect to the choice of physical observables to be measured (i.e., the measurement setup used). This implies that, in general, the same state can be both separable and entangled…

量子物理 · 物理学 2013-05-21 Toshihiko Sasaki , Tsubasa Ichikawa , Izumi Tsutsui

Basing on the analogy between the coherent states of light and separable states of $N$ bosons, we demonstrate that the violation Cauchy-Schwarz inequality for any-order correlation function signals the entanglement among the constituent…

量子物理 · 物理学 2015-04-24 T. Wasak , P. Szankowski , M. Trippenbach , J. Chwedenczuk

We demonstrate how to efficiently derive a broad class of inequalities for entanglement detection in multi-mode continuous variable systems. The separability conditions are established from partial transposition (PT) in combination with…

量子物理 · 物理学 2015-05-13 Qingqing Sun , Hyunchul Nha , M. Suhail Zubairy

We provide necessary and sufficient conditions for separability of mixed states of n-particle systems. The conditions are formulated in terms of maps which are positive on product states of $n-1$ particles. The method of providing of the…

量子物理 · 物理学 2009-11-06 Michal Horodecki , Pawel Horodecki , Ryszard Horodecki

We experimentally prepare a new type of continuous variable genuine four-partite entangled states, the quantum correlation property of which is different from that of the four-mode GHZ and cluster states, and which has not any qubit…

量子物理 · 物理学 2009-11-13 Aihong Tan , Yu Wang , Xiaoli Jin , Xiaolong Su , Xiaojun Jia , Jing Zhang , Changde Xie , Kunchi Peng

This work proposes a detectability condition for linear time-varying systems based on the exponential dichotomy spectrum. The condition guarantees the existence of an observer, whose gain is determined only by the unstable modes of the…

系统与控制 · 电气工程与系统科学 2022-09-20 Markus Tranninger , Richard Seeber , Martin Steinberger , Martin Horn , Christian Pötzsche

Many protocols of quantum information processing use entangled states. Hence, separability criteria are of great importance. We propose new separability conditions for a bipartite finite-dimensional system. They are derived by using…

量子物理 · 物理学 2016-06-23 Alexey E. Rastegin

For a given density matrix $\rho$ of a bipartite quantum system an asymptotical separability criterion is suggested. Using the continuous ensemble method, a sequence of separable density matrices is built which converges to $\rho$ if and…

量子物理 · 物理学 2007-05-23 Roman R. Zapatrin

Recently P. Wocjan and M. Horodecki [quant-ph/0503129] gave a characterization of combinatorially independent permutation separability criteria. Combinatorial independence is a necessary condition for permutations to yield truly independent…

量子物理 · 物理学 2007-05-23 Lieven Clarisse , Pawel Wocjan

We propose an entanglement criterion, specially designed for mixed states, based on uncertainty relation and the Wigner-Yanase skew information. The variances in this uncertainty relation does not involve any classical mixing uncertainty,…

量子物理 · 物理学 2022-11-01 Manju Maan , Asoka Biswas , Shubhrangshu Dasgupta

Great advances have been achieved in studying characteristics of entanglement for fundamentals of quantum mechanics and quantum information processing. However, even for N-qubit systems, the problem of entanglement criterion has not been…

量子物理 · 物理学 2022-05-12 Feng-Lin Wu , Si-Yuan Liu , Wen-Li Yang , Shao-Ming Fei , Heng Fan

We present several measurement schemes for accessing separability criteria for continuous-variable bipartite quantum systems. Starting from moments of the bosonic mode operators, criteria suitable to witness entanglement are expressed in…

量子物理 · 物理学 2023-08-28 Célia Griffet , Tobias Haas , Nicolas J. Cerf

We study the norms of the Bloch vectors for arbitrary $n$-partite quantum states. A tight upper bound of the norms is derived for $n$-partite systems with different individual dimensions. These upper bounds are used to deal with the…

量子物理 · 物理学 2020-08-07 Wen Xu , Chuan-Jie Zhu , Zhu-Jun Zheng , Shao-Ming Fei

We present a generalized partial transposition separability criterion for the density matrix of a multipartite quantum system. This criterion comprises as special cases the famous Peres-Horodecki criterion and the recent realignment…

量子物理 · 物理学 2009-11-07 Kai Chen , Ling-An Wu

Separability conditions for a bipartite quantum system of finite-dimensional subsystems are formulated in terms of R\'{e}nyi and Tsallis entropies. Entropic uncertainty relations often lead to entanglement criteria. We propose new approach…

量子物理 · 物理学 2017-11-01 Alexey E. Rastegin

We prove a necessary and sufficient condition for the occurrence of entanglement in two two-level systems, simple enough to be of experimental interest. Our results are illustrated in the context of a spin star system analyzing the exact…

量子物理 · 物理学 2007-10-09 E. Ferraro , A. Napoli , A. Messina

We derive a necessary and sufficient condition for the separability of tripartite three mode Gaussian states, that is easy to check for any such state. We give a classification of the separability properties of those systems and show how to…

量子物理 · 物理学 2009-11-07 Geza Giedke , Barbara Kraus , Maciej Lewenstein , J. Ignacio Cirac