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arXiv · 2308.02496

Classifying deviation from standard quantum behavior using Kullback Leibler divergence

Salman Sajad Wani·Saif Al-Kuwari·Xiaoping Shi·Yiting Chen·Abrar Ahmed Naqash·Seemin Rubab·Mir Faizal·S. Kannan
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Abstract

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 has a higher Kullback Leibler divergence. We show this explicitly for a nonlocal Schrodinger equation and argue that it will hold for any modification to standard quantum behaviour. Thus, the results of this letter can be used to classify a wide range of theoretical and phenomenological models.

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Salman Sajad Wani, Saif Al-Kuwari, Xiaoping Shi, Yiting Chen, Abrar Ahmed Naqash, Seemin Rubab, Mir Faizal, S. Kannan. 2023-07-18. Classifying deviation from standard quantum behavior using Kullback Leibler divergence. https://doi.org/10.1209/0295-5075%2Fad1414

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