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Title: Super-quantum nonlocal correlations in quaternionic quantum theory
Authors: McKague, M. 
Keywords: communication complexity
information causality
non-local boxes
Issue Date: Sep-2011
Citation: McKague, M. (2011-09). Super-quantum nonlocal correlations in quaternionic quantum theory. International Journal of Quantum Information 9 (6) : 1355-1362. ScholarBank@NUS Repository.
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.
Source Title: International Journal of Quantum Information
ISSN: 02197499
DOI: 10.1142/S0219749911008052
Appears in Collections:Staff Publications

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