Trace distance and linear entropy of qubit states: Role of initial qubit-environment correlations

TL;DR

This paper investigates how initial correlations between a qubit and its environment influence the trace distance and linear entropy, revealing their impact on non-Markovian pure dephasing dynamics.

Contribution

It demonstrates the relationship between initial qubit-environment correlations and the evolution of trace distance and linear entropy in non-Markovian pure dephasing.

Findings

Initial correlations affect trace distance dynamics.

Linear entropy growth relates to initial correlations.

Insights into non-Markovian dephasing processes.

Abstract

The role of initial qubit-environment correlations on trace distance between two qubit states is studied in the framework of non--Markovian pure dephasing. The growth of mixedness of reduced state quantified by linear entropy is shown to be related to the degree of initial qubit--environment correlations.