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We construct a set of PPT (positive partial transpose) states and show that these PPT states are not separable, thus present a class of bound entangled quantum states.

量子物理 · 物理学 2009-11-13 Shao-Ming Fei , Xianqing Li-Jost , Bao-Zhi Sun

We analyze a class of entangled states for bipartite $d \otimes d$ systems, with $d$ non-prime. The entanglement of such states is revealed by the construction of canonically associated entanglement witnesses. The structure of the states is…

量子物理 · 物理学 2009-11-13 M. Piani , C. Mora

We present a construction of new bound entangled states from given bound entangled states for arbitrary dimensional bipartite systems. One way to construct bound entangled states is to show that these states are PPT (positive partial…

量子物理 · 物理学 2016-04-12 Hui Zhao , Sha Guo , Naihuan Jing , Shaoming Fei

Bipartite entangled quantum states with a positive partial transpose (PPT), i.e., PPT entangled states, are usually considered very weakly entangled. Since no pure entanglement can be distilled from them, they are also called bound…

量子物理 · 物理学 2021-08-26 Károly F. Pál , Géza Tóth , Erika Bene , Tamás Vértesi

Entanglement detection in high dimensional systems is a NP-hard problem since it is lacking an efficient way. Given a bipartite quantum state of interest free entanglement can be detected efficiently by the PPT-criterion (Peres-Horodecki…

量子物理 · 物理学 2021-10-07 Beatrix C. Hiesmayr

In recent years considerable progress has been made towards developing a general theory of quantum entanglement. In particular, criteria to decide whether a given quantum state is entangled are of high theoretical and practical interest.…

量子物理 · 物理学 2025-01-27 Shruti Aggarwal

The work is intended to represent some interesting and apparently peculiar features of entangled system in both pure as well as mixed states level. In the pure state level, we are largely concerned about the existence and characteristics of…

量子物理 · 物理学 2008-05-15 Indrani Chattopadhyay

In this paper we show an explicit construction of multipartite class of entangled states with the PPT (Positive Partial Transposition) property in every cut. We investigate properties of this class of states focusing on the trace distance…

量子物理 · 物理学 2019-06-25 Adam Rutkowski , Michał Studziński

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

With a probability of success of $95 \%$ we solve the separability problem for Bell diagonal qutrit states with positive partial transposition (PPT). The separability problem, i.e. distinguishing separable and entangled states, generally…

量子物理 · 物理学 2022-09-22 Christopher Popp , Beatrix C. Hiesmayr

We show that bipartite quantum states of any dimension, which do not have a positive partial transpose, become 1-distillable when one adds an infinitesimal amount of bound entanglement. To this end we investigate the activation properties…

量子物理 · 物理学 2009-11-07 Karl Gerd H. Vollbrecht , Michael M. Wolf

Every dXd bipartite system is shown to have a large family of undistillable states with nonpositive partial transpose (NPPT). This family subsumes the family of conjectured NPPT bound entangled Werner states. In particular, all one-copy…

量子物理 · 物理学 2007-05-23 Rajiah Simon

We analyze the existence of activable bound entangled states in multi-particle systems. We first give a series of examples which illustrate some different ways in which bound entangled states can be activated by letting some of the parties…

量子物理 · 物理学 2009-11-06 W. Dür , J. I. Cirac

We study quantum states for which the PPT criterion is both sufficient and necessary for separability. We present a class of 3x3 bipartite mixed states and show that these states are separable if and only if they are PPT.

量子物理 · 物理学 2009-05-01 Shao-Ming Fei , Xianqing Li-Jost

We construct multipartite entangled states with underlying W-type structure satisfying positive partial transpose (PPT) condition under any (N-1)|1 partition. Then we show how to distill N-partite secure key form the states using two…

量子物理 · 物理学 2009-11-13 Remigiusz Augusiak , Pawel Horodecki

We compare the classification as entangled or separable of Bell diagonal bipartite qudits with positive partial transposition (PPT) and their properties for different dimensions. For dimension $d \geq 3$, a form of entanglement exists that…

量子物理 · 物理学 2023-02-20 Christopher Popp , Beatrix C. Hiesmayr

We show that, in a multi-party setting, two non-distillable (bound-entangled) states tensored together can make a distillable state. This is an example of true superadditivity of distillable entanglement. We also show that unlockable…

量子物理 · 物理学 2007-05-23 Peter W. Shor , John A. Smolin , Ashish V. Thapliyal

An entangled state is bound entangled, if one cannot combine any number of copies of the state to a maximally entangled state, by using only local operations and classical communication. If one formalizes this notion of bound entanglement,…

量子物理 · 物理学 2026-02-05 Michael Gaida , Matthias Kleinmann

The discovery of entangled quantum states from which one cannot distill pure entanglement constitutes a fundamental recent advance in the field of quantum information. Such bipartite bound-entangled (BE) quantum states \emph{could} fall…

量子物理 · 物理学 2009-11-10 Somshubhro Bandyopadhyay , Vwani Roychowdhury

We discuss several aspects of multiparticle mixed state entanglement and its experimental detection. First we consider entanglement between two particles which is robust against disposals of other particles. To completely detect these kinds…

量子物理 · 物理学 2009-11-06 W. Dür , J. I. Cirac
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