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A Fundamental Limit of Measurement Imposed by the Elementary Interactions

Akira Shimizu
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Abstract

Quantum information theory is closely related to quantum measurement theory because one must perform measurement to obtain information on a quantum system. Among many possible limits of quantum measurement, the simplest ones were derived directly from the uncertainty principles. However, such simple limits are not the only limits. I here suggest a new limit which comes from the forms and the strengths of the elementary interactions. Namely, there are only four types of elementary interactions in nature; their forms are determined by the gauge invariance (and symmetry breaking), and their coupling constants (in the low-energy regime) have definite values. I point out that this leads to a new fundamental limit of quantum measurements. Furthermore, this fundamental limit imposes the fundamental limits of getting information on, preparing, and controlling quantum systems.

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Akira Shimizu. 1999-11-24. A Fundamental Limit of Measurement Imposed by the Elementary Interactions. https://doi.org/10.1063/1.1291630

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