Classifying deviation from standard quantum behavior using the Kullback-Leibler divergence
In this letter, we propose a novel statistical method to measure which system is better suited to probe small deviations from the usual quantum behavior. Such deviations are motivated by a number of theoretical and phenomenological motivations, and various systems have been proposed to test them. We...
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Veröffentlicht in: | Europhysics letters 2023-12, Vol.144 (6), p.62003 |
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Hauptverfasser: | , , , , , , , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | In this letter, we propose a novel statistical method to measure which system is better suited to probe small deviations from the usual quantum behavior. Such deviations are motivated by a number of theoretical and phenomenological motivations, and various systems have been proposed to test them. We propose that measuring deviations from quantum mechanics for a system would be easier if it had a higher Kullback-Leibler divergence. We show this explicitly for a non-local Scrödinger equation and argue that it will hold for any modification to standard quantum behavior. Thus, the results of this letter can be used to classify a wide range of theoretical and phenomenological models. |
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ISSN: | 0295-5075 1286-4854 |
DOI: | 10.1209/0295-5075/ad1414 |