论文标题
由阳式矩阵构建的两量价系统中量子渔民信息的动力学
Dynamics of quantum Fisher information in the two-qubit systems constructed from the Yang-Baxter matrices
论文作者
论文摘要
通过对三种不同的汉密尔顿人使用量子阳限化方法，我们研究了这些汉密尔顿人对不同两分输入状态的行为，研究量子渔民信息（QFI）的行为，并估计有意义的参数$φ$。我们通过评估整个系统的QFI经历了不同的统一进化来解决总体估计属性。结果表明，QFI的行为取决于初始状态的选择。选择最佳输入状态可以提高量子参数估计的精度。另一方面，我们还专注于QFI的动态演化，以通过采用QFI作为信息流的定量度量来区分该过程的马尔可道和非马克维亚性。我们表明，用杨 - 巴克斯特矩阵构建的汉密尔顿人在马尔可夫人和非马克维亚性的意义上影响了系统的动态。在某些参数范围内，我们观察到系统的动态演变显示出非马克维亚行为，其中信息从环境流向系统。
By using the quantum Yang-Baxterization approach to the three different Hamiltonians, we investigate the behavior of the quantum Fisher information (QFI) under the actions of these Hamiltonians on the different two-qubit input states and by estimating the meaningful parameter $φ$. We address the overall estimation properties by evaluating the QFI for the whole system undergone different unitary evolution. The results show that the behavior of the QFI depends on the choice of the initial states. Choosing the optimal input states can improve the precision of quantum parameter estimation. On the other hand, we also focus on the dynamical evolution of QFI to distinguish Markovianity and non-Markovianity of the process by adopting the flow of QFI as the quantitative measure for the information flow. We show that the Hamiltonians constructed with Yang-Baxter matrices influence the dynamics of the system in the sense of the Markovianity and non-Markovianity. In certain ranges of parameters, we observe that dynamical evolutions of the systems show non-Markovian behavior in which the information flows from the environment to the system.
