Quaternions, octonions, and Bell-type inequalities

E. Shchukin and W. Vogel
Phys. Rev. A 78, 032104 – Published 4 September 2008

Abstract

Multipartite Bell-type inequalities are derived for general systems. They involve up to eight observables with arbitrary spectra on each site. These inequalities are closely related to the algebras of quaternions and octonions.

  • Received 10 March 2008

DOI:https://doi.org/10.1103/PhysRevA.78.032104

©2008 American Physical Society

Authors & Affiliations

E. Shchukin* and W. Vogel

  • Arbeitsgruppe Quantenoptik, Institut für Physik, Universität Rostock, D-18051 Rostock, Germany

  • *evgeny.shchukin@gmail.com
  • werner.vogel@uni-rostock.de

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Issue

Vol. 78, Iss. 3 — September 2008

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