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Limits On Parameter Estimation Of Quantum Channels, Vishal Katariya
Limits On Parameter Estimation Of Quantum Channels, Vishal Katariya
LSU Doctoral Dissertations
The aim of this thesis is to develop a theoretical framework to study parameter estimation of quantum channels. We begin by describing the classical task of parameter estimation that we build upon. In its most basic form, parameter estimation is the task of obtaining an estimate of an unknown parameter from some experimental data. This experimental data can be seen as a number of samples of a parameterized probability distribution. In general, the goal of such a task is to obtain an estimate of the unknown parameter while minimizing its error.
We study the task of estimating unknown parameters which …