Classifying deviation from standard quantum behavior using Kullback Leibler divergence
Quantum Physics
2026-01-05 v1
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.
Cite
@article{arxiv.2308.02496,
title = {Classifying deviation from standard quantum behavior using Kullback Leibler divergence},
author = {Salman Sajad Wani and Saif Al-Kuwari and Xiaoping Shi and Yiting Chen and Abrar Ahmed Naqash and Seemin Rubab and Mir Faizal and S. Kannan},
journal= {arXiv preprint arXiv:2308.02496},
year = {2026}
}
Comments
13 pages , 2 figures , 8 authors