Quantum computational logic with mixed states

Mathematical Logic Quarterly 59 (1-2):27-50 (2013)
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Abstract

In this paper we solve the problem how to axiomatize a system of quantum computational gates known as the Poincaré irreversible quantum computational system. A Hilbert-style calculus is introduced obtaining a strong completeness theorem

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References found in this work

Algebraic foundations of many-valued reasoning.Roberto Cignoli - 1999 - Boston: Kluwer Academic Publishers. Edited by Itala M. L. D'Ottaviano & Daniele Mundici.
An algebraic approach to propositional fuzzy logic.Franco Montagna - 2000 - Journal of Logic, Language and Information 9 (1):91-124.
Product Ł ukasiewicz Logic.Rostislav Horčík & Petr Cintula - 2004 - Archive for Mathematical Logic 43 (4):477-503.

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