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No pure entangled state can be distilled from a $2\otimes 2$ or $2\otimes 3$ mixed state by separable operations. In $3\otimes 3$, pure entanglement can be distilled by separable operation but not by LOCC. In this letter, we proved the…

量子物理 · 物理学 2025-08-21 Indranil Biswas , Atanu Bhunia , Indrani Chattopadhyay , Debasis Sarkar

The dynamics of a system, consisting of a particle initially in a Gaussian state interacting with a field mode, under the action of repeated measurements performed on the particle, is examined. It is shown that regardless of its initial…

量子物理 · 物理学 2010-10-26 Bruno Bellomo , Giuseppe Compagno , Hiromichi Nakazato , Kazuya Yuasa

The positivity of the partial transpose is in general only a necessary condition for separability. There exist quantum states that are not separable, but nevertheless are positive under partial transpose. States of this type are known as…

量子物理 · 物理学 2019-08-14 Shan Ma , Matthew J. Woolley , Xiaojun Jia , Jing Zhang

With the advent of practical quantum communication networks drawing closer, there is a growing need for reliable estimation protocols that can efficiently characterize quantum resources with minimum resource overhead requirement. A novel…

We study maximally multipartite entangled states in the context of Gaussian continuous variable quantum systems. By considering multimode Gaussian states with constrained energy, we show that perfect maximally multipartite entangled states,…

量子物理 · 物理学 2009-12-08 Paolo Facchi , Giuseppe Florio , Cosmo Lupo , Stefano Mancini , Saverio Pascazio

We experimentally demonstrate optimal entanglement distillation from two forms of two-qubit mixed states under local filtering operations according to the constructive method intruduced by F. Verstraete et al. [Phys. Rev. A 64, 010101(R)…

量子物理 · 物理学 2007-05-23 Zhi-Wei Wang , Xiang-Fa Zhou , Yun-Feng Huang , Yong-Sheng Zhang , Xi-Feng Ren , Guang-Can Guo

We show theoretically and experimentally that single copy distillation of squeezing from continuous variable non-Gaussian states is possible using linear optics and conditional homodyne detection. A specific non-Gaussian noise source,…

量子物理 · 物理学 2009-11-13 J. Heersink , Ch. Marquardt , R. Dong , R. Filip , S. Lorenz , G. Leuchs , U. L. Andersen

In this paper, we propose two general entanglement distillation protocols, which can concentrate the non-maximally entangled pure W class state. The general protocols are mainly based on the unitary transformation on the auxiliary particle…

量子物理 · 物理学 2009-11-10 Zhuo-Liang Cao , Ming Yang

Criteria for distillability, and the property of having a positive partial transpose, are introduced for states of general bipartite quantum systems. The framework is sufficiently general to include systems with an infinite number of…

量子物理 · 物理学 2009-11-10 Rainer Verch , Reinhard F. Werner

We investigate localization of entanglement of multipartite mixed Gaussian states into a pair of modes by local Gaussian measurements on the remaining modes and classical communication. We provide a detailed proof that for arbitrary…

量子物理 · 物理学 2012-08-27 Ladislav Mišta, , Jaromír Fiurášek

In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we give a description of the continuous-variable entanglement for a system consisting of two noninteracting modes embedded in a…

量子物理 · 物理学 2015-05-27 Aurelian Isar

Magic can be distributed non-locally in many-body entangled states, such as the low energy states of condensed matter systems. Using the Bravyi-Kitaev magic state distillation protocol, we find that non-local magic is distillable and can…

量子物理 · 物理学 2022-02-16 Ning Bao , ChunJun Cao , Vincent Paul Su

A proper choice of subsystems for a system of identical particles e.g., bosons, is provided by second-quantized modes i.e.,creation/annihilation operators. Here we investigate how the entanglement properties of bipartite gaussian states of…

量子物理 · 物理学 2009-11-11 Emanuele Ciancio , Paolo Giorda , Paolo Zanardi

In this paper, we present a general formula for obtaining the reduced density opeator for any biparticle pure entangled state. Using this formula, we derive, in a compact form, the explicit formula of the entanglement for any bipartical…

量子物理 · 物理学 2007-05-23 Huai-XIn Lu , Zeng-Bing Chen , Jian-Wei Pan , Yong-De Zhang

We show that the analysis of entanglement distillation protocols for qudits of arbitrary dimension $D$ benefits from applying basic concepts from number theory, since the set $\zdn$ associated to Bell diagonal states is a module rather than…

量子物理 · 物理学 2009-11-11 H. Bombin , M. A. Martin-Delgado

We investigate the entangling capability of passive optical elements, both qualitatively and quantitatively. We present a general necessary and sufficient condition for the possibility of creating distillable entanglement in an arbitrary…

量子物理 · 物理学 2009-11-07 M. M. Wolf , J. Eisert , M. B. Plenio

The goal of entanglement distillation is to turn a large number of weakly entangled states into a smaller number of highly entangled ones. Practical entanglement distillation schemes offer a tradeoff between the fidelity to the target…

In this chapter we review the characterization of entanglement in Gaussian states of continuous variable systems. For two-mode Gaussian states, we discuss how their bipartite entanglement can be accurately quantified in terms of the global…

量子物理 · 物理学 2007-05-23 Gerardo Adesso , Fabrizio Illuminati

We provide an example of distillable bipartite mixed state such that, even in the asymptotic limit, more pure-state entanglement is required to create it than can be distilled from it. Thus, we show that the irreversibility in the processes…

量子物理 · 物理学 2009-11-07 G. Vidal , J. I. Cirac

We discuss the notion of bound entanglement (BE) for continuous variables (CV). We show that the set of non--distillable states (NDS) for CV is nowhere dense in the set of all states, i.e., the states of infinite--dimensional bipartite…

量子物理 · 物理学 2007-05-23 Pawel Horodecki , J. Ignacio Cirac , Maciej Lewenstein