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arXiv · 1308.3833

A model independent approach towards resource count and precision limits in a general measurement

H. M. Bharath·Saikat Ghosh
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Abstract

A formulation towards quantifying resource count used in a measurement, that is independent of the model of the measurement dynamics(Quantum/Classical), is considered. For any general measurement with $(M+1)$ discrete outcomes, it is found that there is a unique probability distribution that minimizes the measurement error, with the error scaling as $1/M$. For a measurement with a finite resource$(R)$, this absolute bound implies the resource count to be equal to the possible outcomes i.e. $R=M$. This formulation therefore provides a model independent route towards estimating resource count used in any general measurement scheme.

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H. M. Bharath, Saikat Ghosh. 2013-08-18. A model independent approach towards resource count and precision limits in a general measurement. https://arxiv.org/abs/1308.3833

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