Quaternionic quantum mechanics allows non-local boxes

2009/11/09 by Matthew McKague, McKague, Matthew · 2 citations
Mathematics · Medicine · Physics and Astronomy · #Algebraic and Geometric Analysis #Biofield Effects and Biophysics #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.0911.1761

arxiv created 2009/11/09 · openalex publication_date 2009/11/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Quantum nonlocality as an axiom

Cited by

• Quantum Information Processing with Adversarial Devices
• Conical Designs and Categorical Jordan Algebraic Post-Quantum Theories

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