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:cond-mat/0607680 · Physical Review A

Entanglement of two delocalized electrons

A. Ramšak, Igor Sega, J. H. Jefferson

Published Jul 26, 2006• 27 citations
arXivHTMLPDF

Abstract

Several convenient formulas for the entanglement of two indistinguishable delocalized spin-$1∕2$ particles are introduced. These generalize the standard formula for concurrence, valid only in the limit of localized or distinguishable particles. Several illustrative examples are given.

DOI
10.1103/physreva.74.010304

Related papers

Entanglement and Quantum Gate Operations with Spin-Qubits in Quantum Dots

John Schliemann, Daniel Loss

We give an elementary introduction to the notion of quantum entanglement between distinguishable parties and review a recent proposal about solid state quantum computation with spin-qubits in quantum dots. The indistinguishable character of the electrons whose spins realize the qubits gives rise to further entanglement-like quantum correlations. We summarize recent results concerning this type of quantum correlations of indistinguishable particles.

arXiv:cond-mat/0110150•Oct 8, 2001•3 citations

How to distinguish identical particles

Fedor Herbut

Usually fermions and bosons behave very differently. Regarding distinguishability, they behave in one and the same way. Two-identical-particle quantum theory is discussed on the example of the deuteron and that of distant correlations, as well as on the example of the real interference and quantum erasure experiments in the Hong–Ou–Mandel two-photon interferometer (with and without polarizers and analyzers). Distinguishability and indistinguishability of two identical photons in the experiments are illustrated. It is demonstrated, using a simple formalism valid simultaneously for fermions and for bosons, that there exists an isomorphism giving theoretical foundation to distinguishing two identical particles. But the distinguishing has a limited range of exact applicability. In most cases of interest, only the indistinguishability approach has a first-principle (and universal) validity.

American Journal of Physics•Feb 1, 2001•18 citations

General criterion for the entanglement of two indistinguishable particles (10 pages)

G. C. Ghirardi, Luca Marinatto

Physical Review A•Jan 1, 2004•13 citations

The Formula of Entanglement Evaluation for Two-Electron Systems

Longyan Gong

The formula of entanglement evaluation for singleelectron systems is extended to that for two-electron systems.The accurate formula is derived for the concerrence between two arbitrary sites.It is pointed out that the effect of the interaction between particles on extanglement can be studied with the help of the evaluation of the site-averaged concurrence and spectrum-avaraged concurrence,and the localization properties of two-particle states can be studied with the help of entanglement.

Journal of Nanjing University of Posts and Telecommunications•Jan 1, 2007•0 citations

Squeezed and Entangled States of a single Spin

Barış Öztop, Alexander A. Klyachko, A.S. Shumovsky

We show correspondence between the notions of spin squeezing and spin entanglement. We propose a new measure of spin squeezing. We consider a number of physical examples.

Old and New Concepts of Physics•Jul 3, 2007•0 citations

ENTANGLEMENT AND ITS MULTIPARTITE EXTENSIONS

Andreas Osterloh

The aspects of many particle systems, as far as their entanglement is concerned, is highlighted. To this end we briefly review the bipartite measures of entanglement and the entanglement of pairs both for systems of distinguishable and indistinguishable particles. The analysis of these quantities in macroscopic systems shows that close to quantum phase transitions, the entanglement of many particles typically dominates that of pairs. This leads to an analysis of a method to construct many-body entanglement measures. SL-invariant measures are a generalization to quantities as the concurrence, and can be obtained with a formalism containing two (actually three) orthogonal antilinear operators. The main drawback of this antilinear framework, namely to measure these quantities in the experiment, is resolved by a formula linking the antilinear formalism to an equivalent linear framework.

International Journal of Modern Physics B•Oct 10, 2012•9 citations
Several convenient formulas for the entanglement of two indistinguishable delocalized spin-1∕21∕21∕2 particles are introduced. These generalize the standard formula for concurrence, valid only in the limit of localized or distinguishable particles. Several illustrative examples are given.
Usually fermions and bosons behave very differently. Regarding distinguishability, they behave in one and the same way. Two-identical-particle quantum theory is discussed on the example of the deuteron and that of distant correlations, as well as on the example of the real interference and quantum erasure experiments in the Hong–Ou–Mandel two-photon interferometer (with and without polarizers and analyzers). Distinguishability and indistinguishability of two identical photons in the experiments are illustrated. It is demonstrated, using a simple formalism valid simultaneously for fermions and for bosons, that there exists an isomorphism giving theoretical foundation to distinguishing two identical particles. But the distinguishing has a limited range of exact applicability. In most cases of interest, only the indistinguishability approach has a first-principle (and universal) validity.
The aspects of many particle systems, as far as their entanglement is concerned, is highlighted. To this end we briefly review the bipartite measures of entanglement and the entanglement of pairs both for systems of distinguishable and indistinguishable particles. The analysis of these quantities in macroscopic systems shows that close to quantum phase transitions, the entanglement of many particles typically dominates that of pairs. This leads to an analysis of a method to construct many-body entanglement measures. SL-invariant measures are a generalization to quantities as the concurrence, and can be obtained with a formalism containing two (actually three) orthogonal antilinear operators. The main drawback of this antilinear framework, namely to measure these quantities in the experiment, is resolved by a formula linking the antilinear formalism to an equivalent linear framework.