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We derive conditions in the form of inequalities to detect the genuine $N$-partite entanglement of $N$ systems. The inequalities are expressed in terms of variances of spin operators, and can be tested by local spin measurements performed…

量子物理 · 物理学 2020-09-24 R. Y. Teh , M. D. Reid

We have derived a general separability criterion for a class of two mode non-Gaussian continuous variable systems, obtained earlier using PPT, violation of which provides sufficient condition for entanglement. It has been obtained by…

量子物理 · 物理学 2017-07-21 Prasoon K. Shandilya , Prasanta K. Panigrahi

To determine whether a given multipartite quantum state is separable with respect to some partition we construct a family of entanglement measures R_m. This is done utilizing generalized concurrences as building blocks which are defined by…

量子物理 · 物理学 2010-08-06 Tsubasa Ichikawa , Marcus Huber , Philipp Krammer , Beatrix C. Hiesmayr

We propose the definition of the geometric measure of entanglement for continuous variable states. On the basis of this definition we examine entanglement of the graph states obtained as a result of action of a unitary operator on the…

量子物理 · 物理学 2021-12-14 Kh. P. Gnatenko , V. M. Tkachuk , M. Krasnytska , Yu. Holovatch

Quantum correlations in composite and separable quantum systems are characterized by non-vanishing quantum discord. We demonstrate the necessary and sufficient conditions for existence of hermitian witness operators for quantum discord,…

量子物理 · 物理学 2013-01-01 S. Adhikari , A. S. Majumdar , I. Chakraborty

We derive several entanglement criteria for bipartite continuous variable quantum systems based on the Shannon entropy. These criteria are more sensitive than those involving only second-order moments, and are equivalent to well-known…

量子物理 · 物理学 2015-05-14 S. P. Walborn , B. G. Taketani , A. Salles , F. Toscano , R. L. de Matos Filho

We investigate localization of entanglement of multimode Gaussian states into a pair of modes by local Gaussian measurements on the remaining modes and classical communication. We find that for pure states and for mixed symmetric states…

量子物理 · 物理学 2009-11-13 Jaromir Fiurasek , Ladislav Mista

An iterative random procedure is considered allowing an entanglement purification of a class of multi-mode quantum states. In certain cases, a complete purification may be achieved using only a single signal state preparation. A physical…

量子物理 · 物理学 2009-11-10 J Clausen , L Knoell , D-G Welsch

Continuous variables multipartite entanglement is a key resource for quantum technologies. This works considers the multipartite entanglement generated in separated spatial modes of the same light beam by three different parametric sources:…

量子物理 · 物理学 2021-12-08 Alessandra Gatti

We derive a general criterion to detect entangled states in multi-partite systems based on the symmetric logarithmic derivative quantum Fisher information. This criterion is a direct consequence of the fact that separable states do not…

量子物理 · 物理学 2016-10-12 Jun Suzuki

We consider two classes of non-Gaussian entangled states generated from the product of number states with the action of the beamsplitter or the two-mode squeezer. It is shown that, for many of these states, the covariance matrix is…

量子物理 · 物理学 2012-06-15 Ryo Namiki

We present a protocol for generating multipartite quantum correlations across a quantum network with a continuous-variable architecture. An arbitrary number of users possess two-mode entangled states, keeping one mode while sending the…

While entanglement is believed to be an important ingredient in understanding quantum many-body physics, the complexity of its characterization scales very unfavorably with the size of the system. Finding super-sets of the set of separable…

量子物理 · 物理学 2015-11-25 Cécilia Lancien , Otfried Gühne , Ritabrata Sengupta , Marcus Huber

We present an event-ready procedure that is capable of distilling Gaussian two-mode entangled states from a supply of weakly entangled states that have become mixed in a decoherence process. This procedure relies on passive optical elements…

量子物理 · 物理学 2009-11-10 J. Eisert , D. E. Browne , S. Scheel , M. B. Plenio

We present a general framework and procedure to derive uncertainty relations for observables of quantum systems in a covariant manner. All such relations are consequences of the positive semidefiniteness of the density matrix of a general…

量子物理 · 物理学 2012-05-24 J Solomon Ivan , Krishna Kumar Sabapathy , N. Mukunda , R. Simon

The problem of diagonalization of Hamiltonians of N-dimensional boson systems by means of time-dependent canonical transformations (CT) is considered, the case of quadratic Hamiltonians being treated in greater detail. The unitary generator…

量子物理 · 物理学 2007-05-23 D. A. Trifonov

In quantum information theory, the reliable and effective detection of entanglement is of paramount importance. However, given an unknown state, assessing its entanglement is a challenging task. To attack this problem, we investigate the…

量子物理 · 物理学 2015-12-09 Jochen Szangolies , Hermann Kampermann , Dagmar Bruß

Understanding the distribution of quantum entanglement over many parties is a fundamental challenge of quantum physics and is of practical relevance for several applications in the field of quantum information. Here we use methods from…

We focus on determining the separability of an unknown bipartite quantum state $\rho$ by invoking a sufficiently large subset of all possible entanglement witnesses given the expected value of each element of a set of mutually orthogonal…

量子物理 · 物理学 2009-11-13 Lawrence M. Ioannou , Benjamin C. Travaglione

This thesis is an attempt to enhance understanding of the following questions A- Given a multipartite quantum state (possibly mixed), how to find out whether it is entangled or separable? (Detection of entanglement.) B- Given an entangled…

量子物理 · 物理学 2009-05-05 Ali Saif M. Hassan