Quantum Metrology Subject to Instrumentation Constraints

Details Quantum Metrology Subject to Instrumentation Constraints Quantum Metrology Subject to Instrumentation Constraints

2008-03-29

arxiv.org/abs/0803.4284v1

Physics

Quantum Physics

4 pages, 4 figures. Comments are welcome

Scientific paper

Maximizing the precision in estimating parameters in a quantum system subject to instrumentation constraints is cast as a convex optimization problem. We account for prior knowledge about the parameter range by developing a worst-case and average case objective for optimizing the precision. Focusing on the single parameter case, we show that the optimization problems are {\em linear programs}. For the average case the solution to the linear program can be expressed analytically and involves a simple search: finding the largest element in a list. An example is presented which compares what is possible under constraints against the ideal with no constraints, the Quantum Fisher Information.

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