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Updated: Nov 27, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Holistic Type Extension for Classical Logic via Toffoli Quantum Gate
Hector Freytes1, Roberto Giuntini1,2, Giuseppe Sergioli1
1Dipartimento di Filosofia, University of Cagliari, Via Is Mirrionis 1, 09123 Cagliari, Italy.
Abstract:
A holistic extension of classical propositional logic is introduced via Toffoli quantum gate. This extension is based on the framework of the so-called "quantum computation with mixed states", where also irreversible transformations are taken into account. Formal aspects of this new logical system are detailed: in particular, the concepts of tautology and contradiction are investigated in this extension. These concepts turn out to receive substantial changes due to the non-separability of some quantum states; as an example, Werner states emerge as particular cases of "holistic" contradiction.
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