Quaternionic quantum mechanics allows non-local boxes
classification
🪐 quant-ph
keywords
mechanicsnon-localquantumallowsquaternionicalgebraassumptionsboxes
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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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