Holism, ambiguity and approximation in the logics of quantum computation: a survey

Abstract

Quantum computation has suggested some new forms of quantum logic (called quantum computational logics), where meanings of sentences are identified with quantum information quantities. This provides a mathematical formalism for an abstract theory of meanings that can be applied to investigate different kinds of semantic phenomena (in social sciences, in medicine, in natural languages and in the languages of art), where both ambiguity and holism play an essential role.

Keywords:

• quantum computational logics
• entanglement
• holistic semantics

Notes

^1. Technical details can be found in Dalla Chiara et al. (2003, 2005b, 2007).