The dynamics of entropy uncertainty for qutrit system under the random telegraph noise

TL;DR

This paper investigates how entropy uncertainty in a qutrit system evolves under random telegraph noise, revealing contrasting effects of environmental coupling in Markovian and non-Markovian regimes.

Contribution

It provides a detailed analysis of entropy uncertainty dynamics in qutrit systems influenced by random telegraph noise, highlighting the opposite effects of coupling strength and environment type.

Findings

Entropy uncertainty decreases with weaker coupling in Markov regime.

In non-Markov regime, stronger coupling reduces entropy uncertainty.

The environment configuration (common vs. independent) affects entropy uncertainty differently in the two regimes.

Abstract

We study the dynamics of quantum memory assist entropy uncertainty for qutrit system coupled to an environment modeled by random matrices. The results show that the effect of relative coupling strength on entropy uncertainty is opposite in Markov region and non-Markov region, and the influence of a common environment and independent environments in Markov region and non-Markov region is also opposite. One can reduce the entropy uncertainty by decreasing relative coupling strength or puting the system in two separate environments in the Markov case. In the non-Markov case, the entropy uncertainty can be reduced by increasing the relative coupling strength or by placing the system in a common environment.