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Abstract: To quantify single mode nonclassicality, we start from an operationalapproach. A positive semi-definite observable is introduced to describe ameasurement setup. The quantification is based on the negativity of thenormally ordered version of this observable. Perfect operational quantumnesscorresponds to the quantum-noise-free measurement of the chosen observable.Surprisingly, even moderately squeezed states may exhibit perfect quantumnessfor a properly designed measurement. The quantification is also considered froman axiomatic viewpoint, based on the algebraic structure of the quantum statesand the quantum superposition principle. Basic conclusions from both approachesare consistent with this fundamental principle of the quantum world.

Author: C. Gehrke, J. Sperling, W. Vogel

Source: https://arxiv.org/

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