Compositional and holistic quantum computational semantics

In quantum computational logic meanings of sentences are identified with quantum information quantities: systems of qubits or, more generally, mixtures of systems of qubits. We consider two kinds of quantum computational semantics: 1) a compositional semantics, where the meaning of a compound sentence is determined by the meanings of its parts; 2) a holistic semantics, which makes essential use of the characteristic “holistic” features of the quantum-theoretic formalism. We prove that the compositional and the holistic semantics characterize the same logic.

• Type: Journal
• Year: 2007
• Where: NC
• Authors: Maria Luisa Dalla Chiara, Roberto Giuntini, Roberto Leporini
• Keywords: NC 2007, Neural Networks, Quantum Computational Logic, Quantum Computational Semantics, Semantics