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Alternative Title
Abstract
We consider the nonlocal properties of naive quaternionic quantum theory, in which the complex numbers are replaced by the quaternions as the underlying algebra. Specifically, we show that it is possible to construct a nonlocal box. This allows one to rule out quaternionic quantum theory using assumptions about communication complexity or information causality while also providing a model for a nonlocal box using familiar structures. © 2011 World Scientific Publishing Company.
Keywords
communication complexity, information causality, non-local boxes, Quaternions
Source Title
International Journal of Quantum Information
Publisher
Series/Report No.
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Date
2011-09
DOI
10.1142/S0219749911008052
Type
Article