Maximal violation of Bell inequalities by position measurements

J. Kiukas*, R. F. Werner

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (SciVal)


We show that it is possible to find maximal violations of the Clauser-Horne-Shimony-Holt (CHSH) Bell inequality using only position measurements on a pair of entangled nonrelativistic free particles. The device settings required in the CHSH inequality are done by choosing one of two times at which position is measured. For different assignments of the "+" outcome to positions, namely, to an interval, to a half-line, or to a periodic set, we determine violations of the inequalities and states where they are attained. These results have consequences for the hidden variable theories of Bohm and Nelson, in which the two-time correlations between distant particle trajectories have a joint distribution, and hence cannot violate any Bell inequality.

Original languageEnglish
Article number034006JMP
JournalJournal of Mathematical Physics
Issue number7
Publication statusPublished - 15 Jul 2010
Externally publishedYes


Dive into the research topics of 'Maximal violation of Bell inequalities by position measurements'. Together they form a unique fingerprint.

Cite this