Effect of two-qutrit entanglement on quantum speed limit time of a bipartite V-type open system

TL;DR

This paper investigates how two-qutrit entanglement influences the quantum speed limit time in a bipartite V-type open system, revealing complex and state-dependent effects under non-Markovian dynamics.

Contribution

It provides the first analysis of the impact of different two-qutrit entangled states on QSL time in a bipartite V-type system considering non-Markovian effects.

Findings

Entanglement effects on QSL time vary significantly with initial states.

Non-Markovianity influences the relationship between entanglement and QSL time.

Horodecki state's entanglement shows intermediate effects compared to Werner states.

Abstract

In the present paper, quantum speed limit (QSL) time of a bipartite V-type three-level atomic system under the effect of two-qutrit entanglement is investigated. Each party interacts with own independent reservoir. By considering two local unitarily equivalent Wener states and the Horodecki PPT state, as initial states, the QSL time is evaluated for each of them in the respective entangled regions. It is counterintu-itively observe that the effect of entanglement on the QSL time driven from each of the initial Werner states are completely different when the degree of non-Markovianity is considerable. In addition, it is interesting that the effect of entanglement of the non-equivalent Horodecki state on the calculated QSL time displays an intermediate behavior relative to the cases obtained for the Werner states.