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

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