量子宇宙学中的量子计量学：De Sitter空间中纠缠双量子比特开放量子系统的研究
QMetrology from QCosmology: Study with Entangled Two Qubit Open Quantum System in De Sitter Space
摘要：
本文的主要目的是应用参数估计理论和Fisher信息形式的量子精密测量的概念，研究在马尔可夫近似下某些物理量在两纠缠量子比特系统的开放量子动力学中的作用。存在着各种物理参量来表征这类系统，但它们不能被看作是任何量子力学的可观测量。必须进行详细的参数估计分析，以确定这些量的物理上一致的参数空间。利用经典Fisher信息（CFI）和量子费舍尔信息（QFI）对这些参数进行了正确的估计，这些参数对描述开放量子系统的非平衡和长程量子纠缠现象具有重要意义.量子精密测量与经典参数估计理论相比，具有双重优越性，提高了参数估计的精度和准确度。此外，本文还提出了一种新的量子精密测量方法，它克服了传统的参数估计方法。我们还提出了一个有趣的结果，复苏的平衡功能在后期的时间尺度，所产生的长期量子纠缠在早期的时间尺度，并提供了一个物理解释相同的贝尔不等式违反在早期的时间尺度引起的非定域性。
英文摘要：
In this paper, our prime objective is to apply the techniques of parameter estimation theory and the concept of Quantum Metrology in the form of Fisher Information to investigate the role of certain physical quantities in the open quantum dynamics of a two entangled qubit system under the Markovian approximation. There exist various physical parameters which characterize such system, but can not be treated as any quantum mechanical observable. It becomes imperative to do a detailed parameter estimation analysis to determine the physically consistent parameter space of such quantities. We apply both Classical Fisher Information (CFI) and Quantum Fisher Information (QFI) to correctly estimate these parameters, which play significant role to describe the out-of-equilibrium and the long range quantum entanglement phenomena of open quantum system. Quantum Metrology, compared to classical parameter estimation theory, plays a two-fold superior role, improving the precision and accuracy of parameter estimation. Additionally, in this paper we present a new avenue in terms of Quantum Metrology, which beats the classical parameter estimation. We also present an interesting result of revival of out-of-equilibrium feature at the late time scales, arising due to the long range quantum entanglement at early time scale and provide a physical interpretation for the same in terms of Bell's Inequality Violation in early time scale giving rise to non-locality.
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