A rigorous relationship between local quantum uncertainty and local quantum Fisher information as recent quantifiers of nonclassical correlations is investigated. It consists of analysing the quantum correlation rate ingrained in a bipartite quantum system interacting with its surrounding environment under the Markovian regime. Indeed, we quantify the separability between two qubits where each qubit interacts with its own environment. Furthermore, a common reservoir is also taken into consideration, which allows us to solve exactly the Markovian master equation of this system. Pointing out that the degrees of freedom that belong to the environment, act only implicitly. We study the local quantum uncertainty and local quantum Fisher information quantifiers of the open system. By controlling several parameters encoded in the reduced density operator of the open system, it is shown that the nonclassical measures fluctuate similarly between their maximum and minimum amplitudes. In particular, the high values of the damping rates related to each reservoir and some special values of the initial phase parameter allow for robust values of local quantum uncertainty and local quantum Fisher information. In particular, it is shown that in the non-resonance case, it is possible to enhance the quantum correlation of the proposed system.

研究了局域量子不确定性和局域量子费希尔信息之间的严格关系作为非经典相关性的最新量词。它包括分析在马尔可夫体系下与其周围环境相互作用的二分量子系统中根深蒂固的量子相关率。事实上，我们量化了两者之间的可分离性量子位，其中每个量子位与其自己的环境交互。此外，还考虑了公共储层，这使我们能够精确求解该系统的马尔可夫主方程。指出属于环境的自由度仅隐式地起作用。我们研究了开放系统的局域量子不确定性和局域量子Fisher信息量词。通过控制编码在开放系统的约化密度算子，表明非经典测度在最大和最小振幅之间波动相似。特别是，与每个储层相关的阻尼率的高值和初始相位参数的一些特殊值允许局部量子不确定性和局部量子费希尔信息的鲁棒值。特别是，它表明在非共振情况下，可以增强所提出系统的量子相关性。