Quantum speed limit for maximally entangled mixed state under non-Markovian Regime

In this paper, we investigate the connection between quantum speed limit time and non-Markovianity by combining the concept of two-qubit maximally entangled mixed state for various correlated noise channels. In particular, we find an inverse relation between them, which means that the non-Markovian feature of the quantum process leads to speedup of evolution in terms of correlations between successive uses of noise channels because of various. Parameters, such as correlations, entanglement, get involved in it. As a result of this study, new insights are gained into the control of QSL time for open systems, which opens the door to further experimental development toward the development of quantum thermodynamic devices and quantum computers. Our results shed light into trace back of information from environment which might be useful for quantum information processing task.