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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…

Quantum Physics · Physics 2017-02-10 Aryaman A. Patel , Prasanta K. Panigrahi

While any two-dimensional mixed state of polarization of light can be represented by a combination of a pure state and a fully random state, any Mueller matrix can be represented by a convex combination of a pure component and three…

Optics · Physics 2017-04-05 Jose J. Gil

We derive necessary and sufficient conditions for a group of density matrices to characterize what different people may know about one and the same physical system.

Quantum Physics · Physics 2009-11-07 Todd A. Brun , J. Finkelstein , N. David Mermin

From an appropriate parameterization of the three-dimensional (3D) coherency matrix R, that characterizes the second-order, classical states of polarization, the coherency matrices are classified and interpreted in terms of incoherent…

Optics · Physics 2015-06-22 Jose J. Gil

We derive a separability criterion for bipartite quantum systems which generalizes the already known criteria. It is based on observables having generic commutation relations. We then discuss in detail the relation among these criteria.

Quantum Physics · Physics 2009-11-07 Vittorio Giovannetti , Stefano Mancini , David Vitali , Paolo Tombesi

We introduce a sequence of numerical tests that can determine the entanglement or separability of a state even when there is not enough information to completely determine its density matrix. Given partial information about the state in the…

Quantum Physics · Physics 2012-12-14 Federico M. Spedalieri

Density matrices of pure multiphoton Fock polarization states and of arising from them reduced density matrices of mixed states are expressed in similar ways in terms of matrices of correlators defined as averaged products of equal numbers…

Quantum Physics · Physics 2019-05-08 S. V. Vintskevich , D. A. Grigoriev , N. I. Miklin , M. V. Fedorov

Ascertaining the physical state of a system is vital in order to understand and predict its behaviour. Tomography is a standard approach used to determine the form of an unknown state. Here we show that an alternative approach, based on…

Quantum Physics · Physics 2013-11-01 Jeff Z. Salvail , Megan Agnew , Allan S. Johnson , Eliot Bolduc , Jonathan Leach , Robert W. Boyd

The entanglement detection via local measurements can be experimentally implemented. Based on mutually unbiased measurements and general symmetric informationally complete positive-operator-valued measures, we present separability criteria…

Quantum Physics · Physics 2018-03-30 Shu-Qian Shen , Ming Li , Xianqing Li-Jost , Shao-Ming Fei

We demonstrate how an effective density of states can be derived from the S-matrix describing a coupled-channel system. Besides the locations of poles, the phase of the determinant of the S-matrix encodes essential details in characterizing…

High Energy Physics - Phenomenology · Physics 2020-09-09 Pok Man Lo

In this work we review the entire classification of 2x2 distillable states for protocols with a finite numbers of copies. We show a distillation protocol that allows to distill Bell states with non zero probability at any time for an…

Quantum Physics · Physics 2015-05-13 E. Isasi , D. Mundarain

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…

Quantum Physics · Physics 2009-11-07 Kai Chen , Ling-An Wu

We show that any bipartite quantum state of rank four is distillable, when the partial transpose of the state has at least one negative eigenvalue, i.e., the state is NPT. For this purpose we prove that if the partial transpose of a…

Quantum Physics · Physics 2017-10-12 Lin Chen , Dragomir Z Djokovic

A direct and exact method for calculating the density of states for systems with localized potentials is presented. The method is based on explicit inversion of the operator $E-H$. The operator is written in the discrete variable…

Condensed Matter · Physics 2009-10-28 Eli Eisenberg , Asher Baram , Michael Baer

When part of the environment responsible for decoherence is used to extract information about the decohering system, the preferred {\it pointer states} remain unchanged. This conclusion -- reached for a specific class of models -- is…

Quantum Physics · Physics 2009-11-06 D. A. R. Dalvit , J. Dziarmaga , W. H. Zurek

It is shown that if a mixed state can be distilled to the singlet form, it must violate partial transposition criterion [A. Peres, Phys. Rev. Lett. 76, 1413 (1996)]. It implies that there are two qualitatively different types of…

Quantum Physics · Physics 2009-10-31 Michal Horodecki , Pawel Horodecki , Ryszard Horodecki

The problem on detecting the entanglement of a bipartite state is significant in quantum information theory. In this article, we apply the Ky Fan norm to the revised realignment matrix of a bipartite state. Specifially, we consider a family…

Quantum Physics · Physics 2022-11-10 Xian Shi , Yashuai Sun

In this paper, we first propose a general entanglement distillation protocol for three-particle W class state, which can concentrate the state (non-maximally entangled W state). The general protocol is mainly based on the unitary…

Quantum Physics · Physics 2007-05-23 Zhuo-Liang Cao , Ming Yang

We study numerically the crystallization of a hard-sphere mixture with 8\% polydispersity. Although often used as a model glass former, for small system sizes we observe crystallization in molecular dynamics simulations. This opens the…

Soft Condensed Matter · Physics 2016-09-05 Matteo Campo , Thomas Speck

Distillable entanglement ($E_d$) is one of the acceptable measures of entanglement of mixed states. Based on discrimination through local operation and classical communication, this paper gives $E_d$ for two classes of orthogonal…

Quantum Physics · Physics 2009-11-10 S. Hamieh , H. Zaraket