Identification of Quantum Systems: Maximum Likelihood and Optimal Experiment Design for State Tomography

Authors:	Kosut Robert, SC Solutions, United States Walmsley Ian A., Oxford University, United Kingdom Rabitz Herschel, Princeton University, United States
Topic:	1.1 Modelling, Identification & Signal Processing
Session:	Experiment Design
Keywords:	system identification, experiment design, quantum systems

Abstract

An optimal experiment design problem invoked by the Cramer-Rao Inequality is applied tothe problem of quantum state tomography. The optimization problem is integer-combinatorialand we use an established relaxation which results in a convex programming problem whosesolution can be used to guide a more efficient experiment.