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A set of all states of a bi-partite quantum system can be divided into subsets each of which contains states with the same degree of entanglement. In this paper we address a question whether local operations (without classical…

量子物理 · 物理学 2007-07-31 Mario Ziman , Vladimir Buzek

The occurrence of entanglement sudden death in the evolution of a bipartite system depends on both the initial state and the channel responsible for the evolution. An extreme case is that of entanglement braking channels, which are channels…

We present a general method to derive entanglement breaking (EB) conditions for continuous-variable quantum gates. We start with an arbitrary entanglement witness, and reach an EB condition. The resultant EB condition is applicable not only…

量子物理 · 物理学 2016-10-26 Ryo Namiki

Entanglement breaking (EB) channels, as completely positive and trace-preserving linear operators, sever the entanglement between the input system and other systems. In the realm of infinite-dimensional systems, a related concept known as…

泛函分析 · 数学 2024-10-28 Bui Ngoc Muoi , Nung-Sing Sze

Unlike the entanglement of quantum states, very little is known about the entanglement of bipartite channels, called dynamical entanglement. Here we work with the partial transpose of a superchannel, and use it to define computable measures…

量子物理 · 物理学 2020-11-02 Gilad Gour , Carlo Maria Scandolo

We ask whether the optimal probe is entangled, and if so, what is its character and amount, for estimating the noise parameter of a large class of local quantum encoding processes that we refer to as vector encoding, examples of which…

量子物理 · 物理学 2026-04-23 Shuva Mondal , Priya Ghosh , Ujjwal Sen

The reduction criterion is a well known necessary condition for separable states, and states violating this condition are entangled and also 1-distillable. In this paper we introduce a new set of necessary conditions for separability of…

量子物理 · 物理学 2009-11-11 William Hall

It is well-known that the action of a quantum channel on a state can be represented, using an auxiliary space, as the partial trace of an associated bipartite state. Recently, it was observed that for the bipartite state associated with the…

量子物理 · 物理学 2007-05-23 Mary Beth Ruskai

We prove that every entangled state is useful as a resource for the problem of minimum-error channel discrimination. More specifically, given a single copy of an arbitrary bipartite entangled state, it holds that there is an instance of a…

量子物理 · 物理学 2009-07-17 M. Piani , J. Watrous

We provide a canonical form of mixed states in bipartite quantum systems in terms of a convex combination of a separable state and a, so-called, edge state. We construct entanglement witnesses for all edge states. We present a canonical…

量子物理 · 物理学 2009-11-06 M. Lewenstein , B. Kraus , P. Horodecki , J. I. Cirac

The disentangling effect of repeated applications of the bit flip channel (I\otimes\sigma_x) on bipartite qubit systems is analyzed. It is found that the rate of loss of entanglement is not uniform over all states. The distillable…

量子物理 · 物理学 2007-05-23 Kovid Goyal

Quantum entanglement is a key enabling ingredient in diverse applications. However, the presence of unwanted adversarial entanglement also poses challenges in many applications. In this paper, we explore methods to "break" quantum…

量子物理 · 物理学 2024-02-26 Fernando G. Jeronimo , Pei Wu

We consider entanglement-assisted (EA) private communication over a quantum broadcast channel, in which there is a single sender and multiple receivers. We divide the receivers into two sets: the decoding set and the malicious set. The…

量子物理 · 物理学 2018-08-13 Haoyu Qi , Kunal Sharma , Mark M. Wilde

We consider a disentanglement process in which local properties of an entangled state are preserved, while the entanglement between the subsystems is erased. Sufficient conditions for a perfect disentanglement (into product states and into…

量子物理 · 物理学 2008-12-18 Tal Mor , Daniel R. Terno

We show that entanglement is a useful resource to enhance the mutual information of the depolarizing channel when the noise on consecutive uses of the channel has some partial correlations. We obtain a threshold in the degree of memory,…

量子物理 · 物理学 2009-11-07 Chiara Macchiavello , G. Massimo Palma

A typical bipartite quantum protocol, such as EPR-steering, relies on two quantum features, entanglement of states and incompatibility of measurements. Noise can delete both of these quantum features. In this work we study the behavior of…

量子物理 · 物理学 2015-10-14 Teiko Heinosaari , Jukka Kiukas , Daniel Reitzner , Jussi Schultz

A bipartite state which is secretly chosen from a finite set of known entangled pure states cannot be immediately useful in standard quantum information processing tasks. To effectively make use of the entanglement contained in this unknown…

量子物理 · 物理学 2015-05-14 Yangjia Li , Runyao Duan , Mingsheng Ying

We present an inequality for detecting entanglement and distillability of arbitrary dimensional bipartite systems. This inequality provides a sufficient condition of entanglement for bipartite mixed states, and a necessary and sufficient…

量子物理 · 物理学 2013-07-04 Ming-Jing Zhao , Ting-Gui Zhang , Xianqing Li-Jost , Shao-Ming Fei

This paper studies the class of stochastic maps, or channels, whose action (when tensored with the identity) on an entangled state always yields a separable state. Such maps have a canonical form introduced by Holevo. Such maps are called…

量子物理 · 物理学 2009-11-10 Michael Horodecki , Peter W. Shor , Mary Beth Ruskai

The study of entanglement in multipartite quantum states plays a major role in quantum information theory and genuine multipartite entanglement signals one of its strongest forms for applications. However, its characterization for general…

量子物理 · 物理学 2022-06-10 Patricia Contreras-Tejada , Carlos Palazuelos , Julio I. de Vicente