Abstract Maximal steered coherence (MSC) is a 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 ellipsoids (QSEs). Here, we explore the MSC of a two-qubit X state under the common influences of reservoir and noise. The results disclose that the introduction of auxiliary qubits can give rise to enhancement of the MSC in both the strong and weak coupling regimes. 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 in 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 that in the initially strong coupling regime.
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 12175001), the Key Project of Natural Science Research of West Anhui University (Grant No. WXZR202311), the Open Fund of Anhui Undergrowth Crop Intelligent Equipment Engineering Research Center (Grant No. AUCIEERC-2022-01), Anhui Undergrowth Crop Intelligent Equipment Engineering Research Center (Grant No. 2022AH010091), the Natural Science Research Key Project of Education Department of Anhui Province of China (Grant No. 2023AH052648), the University Synergy Innovation Program of Anhui Province (Grant No. GXXT-2021-026), and the Anhui Provincial Natural Science Foundation (Grant Nos. 2108085MA18 and 2008085MA20).
Corresponding Authors:
Huan Yang, Gang Zhang
E-mail: hyang@wxc.edu.cn;zhanggang@wxc.edu.cn
Cite this article:
Ling-Ling Xing(邢玲玲), Huan Yang(杨欢), and Gang Zhang(张刚) Investigating maximal steered coherence under the common impacts of reservoir and noise 2025 Chin. Phys. B 34 050304
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