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A note on entropic uncertainty relations of position and momentum

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Journal of Russian Laser Research Aims and scope

Abstract

We consider two entropic uncertainty relations of position and momentum recently discussed in the literature. By a suitable rescaling of one of them, we obtain a smooth interpolation for both high-resolution and low-resolution measurements, respectively. Because our interpolation has never been mentioned in the literature before, we propose it as a candidate for an improved entropic uncertainty relation of position and momentum. Up to now, we have neither been able to falsify nor prove the new inequality. In our opinion, it is a challenge to do either one.

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  1. Jülich Supercomputing Centre, Jülich Research Centre, 52425, Jülich, Germany

    Thomas Schürmann

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  1. Thomas Schürmann
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Correspondence to Thomas Schürmann.

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Schürmann, T. A note on entropic uncertainty relations of position and momentum. J Russ Laser Res 33, 52–54 (2012). https://doi.org/10.1007/s10946-012-9258-y

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  • DOI: https://doi.org/10.1007/s10946-012-9258-y

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