MV-Algebras and Quantum Computation

Studia Logica 82 (2):245-270 (2006)

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Abstract
We introduce a generalization of MV algebras motivated by the investigations into the structure of quantum logical gates. After laying down the foundations of the structure theory for such quasi-MV algebras, we show that every quasi-MV algebra is embeddable into the direct product of an MV algebra and a “flat” quasi-MV algebra, and prove a completeness result w.r.t. a standard quasi-MV algebra over the complex numbers.
Keywords Philosophy   Logic   Mathematical Logic and Foundations   Computational Linguistics
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DOI 10.1007/s11225-006-7202-2
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Some Classes of Quasi-Pseudo-MV Algebras.Wenjuan Chen & Bijan Davvaz - 2016 - Logic Journal of the IGPL 24 (5).
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On Birkhoff’s Common Abstraction Problem.F. Paoli & C. Tsinakis - 2012 - Studia Logica 100 (6):1079-1105.

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