Quaternionic quantum mechanics allows non-local boxes

Details Quaternionic quantum mechanics allows non-local boxes Quaternionic quantum mechanics allows non-local boxes

2009-11-09

arxiv.org/abs/0911.1761v1

Physics

Quantum Physics

Scientific paper

We consider non-local properties of quanternionic quantum mechanics, in which
the complex numbers are replaced by the quaternions as the underlying algebra.
Specifically, we show that it is possible to construct a non-local box. This
allows one to rule out quaternionic quantum mechanics using assumptions about
communication complexity or information causality.

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