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

Physical Review A

Violating Bell's inequalities in vacuum (4 pages)

Alex Retzker, Benni Reznik

Published Jan 1, 2005• 0 citations
OpenAlex

Related papers

The vacuum violates Bell's inequalities

Stephen J. Summers, Reinhard F. Werner

Physics Letters A•Jul 1, 1985•230 citations

Better Bell-inequality violation by collective measurements (7 pages)

Andrew C. Doherty, Yeong-Cherng Liang

Physical Review A•Jan 1, 2006•0 citations

Bell's inequality violation with non-negative Wigner functions (11 pages)

M. Revzen, Pier A. Mello

Physical Review A•Jan 1, 2005•0 citations

Bell's inequalities: derivation, violation, and implications

Louis Sica

Bulletin of the American Physical Society•Mar 13, 2006•0 citations

Bell’s inequalities and quantum field theory. II. Bell’s inequalities are maximally violated in the vacuum

Stephen J. Summers, Reinhard F. Werner

In the context of the study of Bell’s inequalities carried out in Paper I [J. Math. Phys. 28, 2440 (1987)], it is proven that Bell’s inequalities are maximally violated in the vacuum state by suitable spacelike separated observables for both Bose and Fermi free quantum field theories.

Journal of Mathematical Physics•Oct 1, 1987•144 citations

Infinite violation of Bell inequalities in inflation

Sugumi Kanno, Jiro Soda

We study the violation of Bell-Mermin-Klyshko (BMK) inequalities in initial quantum states of scalar fields in inflation. We show that the Bell inequality is maximally violated by the Bunch-Davies vacuum which is a two-mode squeezed state of a scalar field. However, we find that the violation of the BMK inequalities does not increase with the number of modes to measure. We then consider a non-Bunch-Davies vacuum expressed by a four-mode squeezed state of two scalar fields. Remarkably, we find that the violation of the BMK inequalities increases exponentially with the number of modes to measure. This shows that the BMK inequalities are useful to classify the initial quantum state of the Universe.

arXiv:1705.06199•Physical review. D/Physical review. D.•Oct 3, 2017•41 citations
We study the violation of Bell-Mermin-Klyshko (BMK) inequalities in initial quantum states of scalar fields in inflation. We show that the Bell inequality is maximally violated by the Bunch-Davies vacuum which is a two-mode squeezed state of a scalar field. However, we find that the violation of the BMK inequalities does not increase with the number of modes to measure. We then consider a non-Bunch-Davies vacuum expressed by a four-mode squeezed state of two scalar fields. Remarkably, we find that the violation of the BMK inequalities increases exponentially with the number of modes to measure. This shows that the BMK inequalities are useful to classify the initial quantum state of the Universe.