Probabilities and Epistemic Operations in the Logics of Quantum Computation.

Entropy (Basel)

Dipartimento di Pedagogia, Psicologia, Filosofia, Università di Cagliari, Via Is Mirrionis 1, I-09123 Cagliari, Italy.

Published: October 2018

Quantum computation theory has inspired new forms of quantum logic, called , where formulas are supposed to denote pieces of quantum information, while logical connectives are interpreted as special examples of quantum logical gates. The most natural semantics for these logics is a form of , where meanings behave in a contextual way. In this framework, the concept of can assume different forms. We distinguish an absolute concept of probability, based on the idea of , from a relative concept of probability (a form of , connected with the notion of fidelity between quantum states). Quantum information has brought about some intriguing epistemic situations. A typical example is represented by teleportation-experiments. In some previous works we have studied a quantum version of the epistemic operations "to know", "to believe", "to understand". In this article, we investigate another epistemic operation (which is informally used in a number of interesting quantum situations): the operation "being probabilistically informed".

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512400PMC
http://dx.doi.org/10.3390/e20110837DOI Listing

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