Investigating maximal steered coherence under the common impacts of reservoir and noise

Abstract Maximal steered coherence (MSC) is one noteworthy resource measure in the field of quantum information, and it is defined under the framework of coherence measure and the formalism of quantum steering ellipsoid (QSE). Here, we explore the MSC of two-qubit X state under the common influences of reservoir and noise. The results disclose that the introductions of auxiliary qubits can give rise to the enhancement of the MSC both in the strong coupling regime and weak coupling regime. Moreover, more auxiliary qubits can decrease the oscillation period of the MSC, and also suppress the oscillation amplitude of the MSC in the strong coupling regime. In contrast, the increases of auxiliary qubits result in the oscillation of the MSC for the setting of the initially weak coupling regime. Of particular interest is that the improvement effects of more auxiliary qubits on the MSC in the initially weak coupling regime are significantly stronger than those in the initially strong coupling regime.