Volume 144, Number 6, December 2023
|Number of page(s)
|Mathematical and interdisciplinary physics
|17 January 2024
Classifying deviation from standard quantum behavior using the Kullback-Leibler divergence
1 Qatar Center for Quantum Computing, College of Science and Engineering, Hamad Bin Khalifa University - Doha, Qatar
2 Irving K. Barber School of Arts and Sciences, University of British Columbia Okanagan - Kelowna, BC V1V 1V7, Canada
3 Department of Physics, National Institute of Technology Srinagar - Srinagar, Jammu and Kashmir 190006, India
4 Canadian Quantum Research Center - 204-3002, 32 Ave Vernon, BC V1T 2L7 Canada
5 Irving K. Barber School of Arts and Sciences, University of British Columbia Okanagan - Kelowna, BC V1V 1V7, Canada
6 Department of Quantum Science and Technology, Research School of Physics, The Australian National University - Canberra, ACT 2601, Australia
Received: 10 July 2023
Accepted: 11 December 2023
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.
© 2024 EPLA
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.