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About 7,196 papers for “Multipartite”

Genuine Multipartite Entanglement without Multipartite Correlations

Christian Schwemmer, Lukas Knips, Minh C. Tran et al. · Physical Review Letters · 2015

Nonclassical correlations between measurement results make entanglement the essence of quantum physics and the main resource for quantum information applications. Surprisingly, there are n-particle states which do not exhibit n-partite correlations at all but still are genuinely n-partite entangled. We introduce a general construction principle for such states, implement them in a multiphoton experiment and analyze their properties in detail. Remarkably, even without multipartite correlations, these states do violate Bell inequalities showing that there is no classical, i.e., local realistic model describing their properties.

Cited by 33Open access

Multipartite Entanglement

Reinhold A. Bertlmann, Nicolai Friis · 2023

Abstract This chapter takes a closer look at entanglement in multipartite systems. An examination of pure tripartite systems serves a starting point from which we discover the equivalence classes of Greenberger-Horne-Zeilinger (GHZ) states and W states. We then continue with the mixed-state case and discuss the notions of full separability, partition-separability and biseparability versus genuine tripartite entanglement, before stating the GHZ theorem in the formulation following Mermin. For systems of three or more parties we then formulate the definitions for k-separability and genuine multipartite entanglement (GME), as well as for k-producibility and entanglement depth, followed by prominent examples for GME states such as the generalized GHZ states and Dicke states. We give an overview of the problem of detecting GME using various linear and non-linear GME witnesses, lifted witnesses, PPT mixers, before discussing challenges for the characterization and quantification of multipartite entanglement. We close by analysing the phenomenon of entangled entanglement.

Cited by 0

Multipartite Entanglement

Michael Walter, David Groß, Jens Eisert · 2016

This chapter generalizes entanglement theory from two-partite to multipartite systems and reviews the developments of this theory. It then considers multiparticle entanglement of pure quantum states. It is natural to ask whether there is entanglement measures that quantify the “degree of multipartite entanglement” found in a state. There are two approaches to defining entanglement measures: the axiomatic and the operational one. The chapter discusses these two approaches. Next, it describes important classes of multipartite quantum states that admit an efficient classical description - including matrix product states, stabilizer states, and bosonic and fermionic Gaussian states - and sketches their roles in quantum information theory. Then, it surveys a variety of very different and largely independent aspects of multipartite entanglement. The purpose of these examples is to give a feeling for the breadth of the field.

Cited by 64

Multipartite Entanglement

Paweł Horodecki, Łukasz Rudnicki, Karol Życzkowski · Encyclopedia of Mathematical Physics · 2024

Cited by 3

Multipartite entanglement

Ingemar Bengtsson, Karol Życzkowski · Cambridge University Press eBooks · 2017

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Cited by 13

Multipartite patella

Arlene Campos, Habeeb Ahmed · Radiopaedia.org · 2024

The multipartite patella is an uncommon congenital abnormality considered a normal variant in pathology, resulting from incomplete ossification during development. It is often discovered incidentally during imaging studies.

Cited by 0Open access

Multipartite patella

Tim Luijkx · Radiopaedia.org · 2018

The superolateral patella is the typical location for normal variation of additional ossification centers, normally only two. Rounded, corticated appearance further favors a normal variant over comminuted fracture.

Cited by 0Open access

Multipartite entanglement

Paweł Horodecki, Łukasz Rudnicki, Karol Życzkowski · arXiv (Cornell University) · 2024

In this contribution we present a concise introduction to quantum entanglement in multipartite systems. After a brief comparison between bipartite systems and the simplest non-trivial multipartite scenario involving three parties, we review mathematically rigorous definitions of separability and entanglement between several subsystems, as well as their transformations and measures.

Cited by 10Open access

Multipartite laser

BEHRINGER, MARTIN, EBERHARD, FRANZ, LUFT, JOHANN · Institutional Repository of Xi'an Institute of Optics and Fine Mechanics, Chinese Academy of Sciences (Xian Institute of Optics and Precision Mechanics) · 2007

A device for emission of laser radiation includes at least one semiconductor laser having a resonator and a pumped active zone disposed within the resonator. The zone is subdivided into at least two spatially separated active zones by free-radiation regions without lateral wave guidance. Preferably, the laser is at least two semiconductor lasers disposed in series, a row, or a line, each having an antireflection coating on at least one side. The lasers have outer mirror elements at an end of the lasers disposed in series and the outer mirror elements form the resonator. A laser configuration includes two opposite semiconductor lasers from which a fundamental mode is in each case imaged into the active zone of the opposite semiconductor laser. The laser configuration has an emerging laser beam with little divergence.

Cited by 0