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arXiv · 0803.4284

Quantum Metrology Subject to Instrumentation Constraints

Robert L. Kosut
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Abstract

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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Robert L. Kosut. 2008-03-29. Quantum Metrology Subject to Instrumentation Constraints. https://arxiv.org/abs/0803.4284

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