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Epistemic Quantum Computational Structures in a Hilbert-space Environment

2012; IOS Press; Volume: 115; Issue: 1 Linguagem: Inglês

10.3233/fi-2012-637

1875-8681

Enrico G. Beltrametti, María Luisa Dalla Chiara, Roberto Giuntini, Roberto Leporini, Giuseppe Sergioli,

Advanced Algebra and Logic

Quantum computation and quantum computational logics are intrinsically connected with some puzzling epistemic problems.In the framework of a quantum computational approach to epistemic logic we investigate the following question: is it possible to interpret the basic epistemic operations (having information, knowing) as special kinds of Hilbert-space operations?We show that non-trivial knowledge operations cannot be represented by unitary operators.We introduce the notions of strong epistemic quantum computational structure and of epistemic quantum computational structures, where knowledge operations are identified with special examples of quantum operations.This represents the basic tool for developing an epistemic quantum computational se-