# Quantum speed limit time for a two-qubit system interacting with independent and common reservoirs

## TL;DR

This paper investigates how the quantum speed limit time for a two-qubit system varies when interacting with independent versus common reservoirs, especially under non-Markovian conditions, revealing sharper decreases in the common reservoir case.

## Contribution

It provides new insights into the effects of reservoir type and non-Markovian dynamics on quantum speed limits for two-qubit systems.

## Key findings

- Quantum speed limit time decreases more sharply in a common reservoir under non-Markovian conditions.
- The initial state is an extended Werner-like state, affecting the dynamics.
- Non-Markovian reservoirs significantly influence the quantum speed limit time.

## Abstract

We study the quantum speed limit time for a two-qubit system interacts with indepen- dent and common reservoir. The system is initially prepared in a class of X-structure density matrix, namely the extended Werner-like states (EWL). We demonstrate that when reservoir enters to the non-Markovian regime, the quantum speed limit time de- crease more sharply in a common reservoir than independent reservoirs.