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Free keywords:
High Energy Physics - Theory, hep-th, Condensed Matter, Statistical Mechanics, cond-mat.stat-mech,General Relativity and Quantum Cosmology, gr-qc,Quantum Physics, quant-ph
Abstract:
In this paper, our prime objective is to apply the techniques of {\it
parameter estimation theory} and the concept of {\it Quantum Metrology} in the
form of {\it 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. {\it Quantum Metrology},
compared to {\it 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 {\it Quantum
Metrology}, which beats the classical parameter estimation. We also present an
interesting result of \textit{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.
