Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/0412102 · Physics Letters A

Free entanglement measure of multiparticle quantum states

Chang‐shui Yu, He‐Shan Song

Published Aug 14, 2004• 26 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2004.07.054

Related papers

Multiparticle states and quantum entanglement

Chris Doran, Anthony Norden Lasenby

Cambridge University Press eBooks•May 29, 2003•0 citations

Triple Compton Effect: A Photon Splitting into Three upon Collision with a Free Electron

Erik Lötstedt, Ulrich D. Jentschura

The process in which a photon splits into three after the collision with a free electron (triple Compton effect) is the most basic process for the generation of a high-energy multiparticle entangled state composed out of elementary quanta. The cross section of the process is evaluated in two experimentally realizable situations, one employing gamma photons and stationary electrons, and the other using keV photons and GeV electrons of an x-ray free electron laser. For the first case, our calculation is in agreement with the only available measurement of the differential cross section for the process under study. Our estimates indicate that the process should be readily measurable also in the second case. We quantify the polarization entanglement in the final state by a recently proposed multiparticle entanglement measure.

arXiv:1205.0317•Physical Review Letters•Jun 6, 2012•12 citations

Measures of Quantum Entanglement

P. K. Aravind

Springer eBooks•Jan 1, 1996•2 citations

Evaluating the geometric measure of multiparticle entanglement

Lars Erik Buchholz, Tobias Moroder, Otfried Gühne

We present an analytical approach to evaluate the geometric measure of multiparticle entanglement for mixed quantum states. Our method allows the computation of this measure for a family of multiparticle states with a certain symmetry and delivers lower bounds on the measure for general states. It works for an arbitrary number of particles, for arbitrary classes of multiparticle entanglement, and can also be used to determine other entanglement measures.

arXiv:1412.7471•Annalen der Physik•Dec 9, 2015•28 citations

Characterizing quantum correlations: the genuine multiparticle negativity as entanglement monotone

Martin Hofmann

Multiparticle entanglement is a useful resource in quantum information processing. It is involved in some quantum key distribution protocols, quantum metrology and many other physical applications and phenomena and can be experimentally observed in various quantum systems. Having said this, its classification, detection and especially its quantification is quite challenging. To this day there exists no general mixed state measure for genuine multiparticle entanglement, which can be computed and analytically treated at the same time.\n\nIn this thesis the analytical characterisation of genuine multiparticle entanglement in quantum systems using the computable genuine multiparticle negativity as entanglement measure is provided. Furthermore, the notion of stabiliser states, which are families of symmetric genuine multiparticle entangled states, is generalised and a useful method to exploit local symmetries to speed up the computation of the investigated entanglement measure is provided.

•Jun 30, 2014•0 citations

Simple Entanglement Measure for Multipartite Pure States

Feng Pan, Feng Pan, Feng Pan +3 more

arXiv:quant-ph/0405133•International Journal of Theoretical Physics•May 1, 2004•24 citations
The process in which a photon splits into three after the collision with a free electron (triple Compton effect) is the most basic process for the generation of a high-energy multiparticle entangled state composed out of elementary quanta. The cross section of the process is evaluated in two experimentally realizable situations, one employing gamma photons and stationary electrons, and the other using keV photons and GeV electrons of an x-ray free electron laser. For the first case, our calculation is in agreement with the only available measurement of the differential cross section for the process under study. Our estimates indicate that the process should be readily measurable also in the second case. We quantify the polarization entanglement in the final state by a recently proposed multiparticle entanglement measure.
Multiparticle entanglement is a useful resource in quantum information processing. It is involved in some quantum key distribution protocols, quantum metrology and many other physical applications and phenomena and can be experimentally observed in various quantum systems. Having said this, its classification, detection and especially its quantification is quite challenging. To this day there exists no general mixed state measure for genuine multiparticle entanglement, which can be computed and analytically treated at the same time.\n\nIn this thesis the analytical characterisation of genuine multiparticle entanglement in quantum systems using the computable genuine multiparticle negativity as entanglement measure is provided. Furthermore, the notion of stabiliser states, which are families of symmetric genuine multiparticle entangled states, is generalised and a useful method to exploit local symmetries to speed up the computation of the investigated entanglement measure is provided.