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Adaptive Rank Quantum State Estimation

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Title: Adaptive Rank Quantum State Estimation
Author: Pasieka, Aron
Department: Department of Physics
Program: Physics
Advisor: Kribs, David W.Resch, Kevin J.
Abstract: Quantum state estimation is an important task in the realm of experimental quantum information science. While the common approaches to this task are generally adequate, the maximum-likelihood method is frequently used with parameterizations that do not strictly satisfy the statistical requirements of maximum-likelihood estimation. We show that the source of this issue is in the structure of the parameter space and we introduce a density matrix parameterization that provides direct control over this structure. The parameterization leads to a natural quantum state estimation algorithm that does satisfy the statistical requirements of maximum-likelihood estimation. Finally, we examine the algorithm through the analysis of several data sets and experimental results.
URI: http://hdl.handle.net/10214/8192
Date: 2014-06


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