Time translation of quantum properties

TL;DR

This paper introduces a formalism for analyzing quantum properties across different times, expanding the concept of context to include time-extended properties and comparing it with consistent histories.

Contribution

It develops a novel formalism for time translation in quantum properties, broadening the logical framework beyond traditional approaches.

Findings

Formalism allows for properties at multiple times to be considered together.

Comparison with consistent histories highlights similarities and differences.

Enlarged contexts enable new insights into quantum temporal properties.

Abstract

Based on the notion of time translation, we develop a formalism to deal with the logic of quantum properties at different times. In our formalism it is possible to enlarge the usual notion of context to include composed properties involving properties at different times. We compare our results with the theory of consistent histories.