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

Foundations of Physics Letters

A Generalized Bell Inequality and Decoherence for the K0KO

Beatrix C. Hiesmayr

Published Jun 1, 2001• 27 citations
Publisher
DOI
10.1023/a:1013457210230

Related papers

On generalized entropies and information-theoretic Bell inequalities under decoherence

Alexey E. Rastegin

arXiv:1410.7889•Annals of Physics•Feb 19, 2015•20 citations

The Irrelevance of the Bell Inequality

Thomas A. Brody

Springer eBooks•Jan 1, 1993•0 citations

A generalized Bell-Inequality and Decoherence for the K 0 K 0 -System

Beatrix C. Hiesmayr

First a generalized Bell-inequality for dierent times and for dierent quasispin states is developed. We focus on special quasi-spin eigenstates and times. The inequality based on a local realistic theory is violated by the CP-violating parameter [1], if the quantum theory is used to recalculate the probabilities. Next the quantum mechanical probabilities are modied by the decoherence approach which enables the initial state to factorize spontaneously. In this way we get a lower limit for the decoherence parameter , which measures the degree of decoherence. This result is compared with the experimental value [2, 3] of the decoherence parameter deduced from the data of the CPLEAR-experiment [4].

•Oct 11, 2000•9 citations

On the Applicability of Bell's Inequality

Pierre A. Millette

Progress in physics•Jul 1, 2016•0 citations

A generalized Bell-Inequality and Decoherence for the K^0\bar{K^0}-System

Beatrix C. Hiesmayr

First a generalized Bell-inequality for different times and for different quasi-spin states is developed. We focus on special quasi-spin eigenstates and times. The inequality based on a local realistic theory is violated by the CP-violating parameter, if the quantum theory is used to recalculate the probabilities. Next the quantum mechanical probabilities are modified by the decoherence approach which enables the initial state to factorize spontaneously. In this way we get a lower limit for the decoherence parameter ζ, which measures the degree of decoherence. This result is compared with the experimental value of the decoherence parameter ζdeduced from the data of the CPLEAR-experiment.

arXiv:hep-ph/0010108•Oct 11, 2000•0 citations

Effect of Decoherence in Ekert-Protocol

DaeKil Park, Jin-Woo Son, Seong-Keuck Cha +1 more

We have examined the effect of the decoherence in the Ekert91 quantum cryptographic protocol. In order to explore this issue we have introduced two major decoherences, the depolarizing channel and the generalized amplitude damping, between the singlet source and one of the legitimate users. It is shown that the depolarizing channel disentangles the quantum channel more easily than the generalized amplitude damping. This fact indicates that the Ekert protocol is more robust to the generalized amplitude damping. We also have computed the Bell inequality to check the robustness or weakness of the Ekert91 protocol. Computation of the Bell inequality also confirms the robustness of the Ekert91 protocol to the generalized amplitude damping compared to the depolarizing channel.

arXiv:0906.0233•Jun 1, 2009•0 citations
First a generalized Bell-inequality for dierent times and for dierent quasispin states is developed. We focus on special quasi-spin eigenstates and times. The inequality based on a local realistic theory is violated by the CP-violating parameter [1], if the quantum theory is used to recalculate the probabilities. Next the quantum mechanical probabilities are modied by the decoherence approach which enables the initial state to factorize spontaneously. In this way we get a lower limit for the decoherence parameter , which measures the degree of decoherence. This result is compared with the experimental value [2, 3] of the decoherence parameter deduced from the data of the CPLEAR-experiment [4].
First a generalized Bell-inequality for different times and for different quasi-spin states is developed. We focus on special quasi-spin eigenstates and times. The inequality based on a local realistic theory is violated by the CP-violating parameter, if the quantum theory is used to recalculate the probabilities. Next the quantum mechanical probabilities are modified by the decoherence approach which enables the initial state to factorize spontaneously. In this way we get a lower limit for the decoherence parameter ζ, which measures the degree of decoherence. This result is compared with the experimental value of the decoherence parameter ζdeduced from the data of the CPLEAR-experiment.
We have examined the effect of the decoherence in the Ekert91 quantum cryptographic protocol. In order to explore this issue we have introduced two major decoherences, the depolarizing channel and the generalized amplitude damping, between the singlet source and one of the legitimate users. It is shown that the depolarizing channel disentangles the quantum channel more easily than the generalized amplitude damping. This fact indicates that the Ekert protocol is more robust to the generalized amplitude damping. We also have computed the Bell inequality to check the robustness or weakness of the Ekert91 protocol. Computation of the Bell inequality also confirms the robustness of the Ekert91 protocol to the generalized amplitude damping compared to the depolarizing channel.