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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

Computing the exact rate at which entanglement can be distilled from noisy quantum states is one of the longest-standing questions in quantum information. We give an exact solution for entanglement distillation under the set of dually…

量子物理 · 物理学 2024-11-25 Ludovico Lami , Bartosz Regula

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 independent harmonic oscillators…

量子物理 · 物理学 2015-05-13 Aurelian Isar

Bipartite quantum states are classified into three categories: separable states, bound entangled states, and free entangled states. It is of great importance to characterize these families of states for the development of quantum…

量子物理 · 物理学 2007-05-23 Tohya Hiroshima

We show that all entangled Gaussian states of two infinite dimensional systems can be distilled to maximally entangled states in finite dimensions. The distillation protocol involves local squeezing operations, local homodyne measurements…

量子物理 · 物理学 2007-05-23 Geza Giedke , Lu-Ming Duan , J. Ignacio Cirac , Peter Zoller

We study entanglement and other correlation properties of random states in high-dimensional bipartite systems. These correlations are quantified by parameters that are subject to the "concentration of measure" phenomenon, meaning that on a…

量子物理 · 物理学 2007-05-23 Patrick Hayden , Debbie W. Leung , Andreas Winter

Motivated by the mathematical definition of entanglement we undertake a rigorous analysis of the separability and non-distillability properties in the neighborhood of those three-qubit mixed states which are entangled and completely…

量子物理 · 物理学 2009-11-10 Roman Orus , Rolf Tarrach

We show that the phenomenon of superadditivity of distillable entanglement observed in multipartite quantum systems results from the consideration of states created during the execution of the standard end-to-end quantum teleportation…

量子物理 · 物理学 2009-11-13 Somshubhro Bandyopadhyay , Vwani Roychowdhury

We generalize the notion of joint measurability to continuous variable systems by extending a recently introduced compression algorithm of quantum measurements to this realm. The extension results in a property that asks for the minimal…

量子物理 · 物理学 2026-03-03 Pauli Jokinen , Sophie Egelhaaf , Juha-Pekka Pellonpää , Roope Uola

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

We derive bounds for the entanglement of a spin with an (adjacent and non-adjacent) interval of spins in an arbitrary pure finitely correlated state (FCS) on a chain of spins of any magnitude. Finitely correlated states are otherwise known…

数学物理 · 物理学 2007-05-23 Spyridon Michalakis , Bruno Nachtergaele

The notion of entanglement of quantum states is usually defined with respect to a fixed bipartition. Indeed, a global basis change can always map an entangled state to a separable one. The situation is however different when considering a…

量子物理 · 物理学 2021-06-02 Yu Cai , Baichu Yu , Pooja Jayachandran , Nicolas Brunner , Valerio Scarani , Jean-Daniel Bancal

We present a new approach to the analysis of entanglement in smooth bipartite continuous-variable states. One or both parties perform projective filterings via preliminary measurements to determine whether the system is located in some…

量子物理 · 物理学 2009-11-13 H. -C. Lin , A. J. Fisher

Entanglement distillation is a key primitive for distributing high-quality entanglement between remote locations. Probabilistic noiseless linear amplification based on the quantum scissors is a candidate for entanglement distillation from…

量子物理 · 物理学 2019-08-15 Kaushik P. Seshadreesan , Hari Krovi , Saikat Guha

We propose a new approach to the generation of entangled states, both hybrid and consisting exclusively of continuous variable (CV) states. A single mode squeezed vacuum is mixed with a delocalized single photon on arbitrary beam splitter…

量子物理 · 物理学 2020-05-15 Sergey A. Podoshvedov , Mikhail S. Podoshvedov

In a multipartite scenario quantum entanglement manifests its most dramatic form when the state is genuinely entangled. Such a state is more beneficial for information theoretic applications if it contains distillable entanglement in every…

量子物理 · 物理学 2019-03-27 Sristy Agrawal , Saronath Halder , Manik Banik

Entanglement distillation is a key task in quantum-information processing. In this paper, we distill non-positive-partial-transpose (NPT) bipartite states of some given Schmidt rank and matrix rank. We show that all bipartite states of…

量子物理 · 物理学 2023-07-07 Tianyi Ding , Lin Chen

The bipartite entanglement of a pure quantum state is known to be characterized by its Schmidt decomposition. In particular the state is maximally entangled when all the Schmidt coefficients are equal. We point out a convenient method which…

量子物理 · 物理学 2008-01-09 M. Bhattacharya

We present a general criterion for entanglement of N indistinguishable particles decomposed into arbitrary s subsystems based on the unambiguous measurability of correlation. Our argument provides a unified viewpoint on the entanglement of…

量子物理 · 物理学 2011-02-10 Toshihiko Sasaki , Tsubasa Ichikawa , Izumi Tsutsui

The concept of entangled quantum states is considered in the context of systems of identical particles, based on the requirement that in order to represent physical states both for the overall system and the sub-systems which may be…

量子物理 · 物理学 2014-01-03 Bryan Dalton , Libby Heaney , John Goold , Thomas Busch , Barry Garraway