论文标题

QCoSmology的QMETROGOGE:与Sitter空间中的两个Qubit两个Qubit开放量子系统一起研究

QMetrology from QCosmology: Study with Entangled Two Qubit Open Quantum System in De Sitter Space

论文作者

Choudhury, Sayantan, Chowdhury, Satyaki, Gupta, Nitin, Swain, Abinash

论文摘要

在本文中,我们的主要目的是应用参数估计理论的技术和量子计量学的概念以渔民信息的形式来研究在马尔可夫近似下,某些物理量在两个纠缠量子系统的开放量子动力学中的作用。存在各种表征这种系统的物理参数,但不能被视为任何可观察的量子机械。必须进行详细的参数估计分析,以确定此类数量的物理一致参数空间。我们同时应用经典的Fisher信息(CFI)和量子Fisher Information(QFI)来正确估计这些参数,这些参数起着重要的作用,可以描述开放量子系统的不平衡和远程量子纠缠现象。与经典参数估计理论相比,量子计量学起着两倍的优势作用,从而提高了参数估计的精度和准确性。此外,在本文中,我们在量子计量学方面提出了一种新的途径,该途径超过了经典的参数估计。我们还提出了在晚期尺度上复兴不平衡特征的复兴,这是由于早期时间尺度上的远距离量子纠缠而引起的,并且就贝尔在早期时间尺度的不平等违规而提供了相同的物理解释,从而引起了非局部性。

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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