Quantum decoherence: a logical perspective

TL;DR

This paper explores the classical limit of quantum mechanics from a logical perspective, focusing on how quantum properties transition to Boolean logic through decoherence of relevant observables.

Contribution

It introduces a novel logical approach to quantum decoherence, emphasizing the transition of quantum properties to classical Boolean structures.

Findings

Quantum properties acquire Boolean logic during decoherence

Logical perspective offers new insights into the quantum-classical transition

Supports previous work on observable-based decoherence

Abstract

The so-called classical limit of quantum mechanics is generally studied in terms of the decoherence of the state operator that characterizes a system. This is not the only possible approach to decoherence. In previous works we have presented the possibility of studying the classical limit in terms of the decoherence of relevant observables of the system. On the basis of this approach, in this paper we introduce the classical limit from a logical perspective, by studying the way in which the logical structure of quantum properties corresponding to relevant observables acquires Boolean characteristics.