Classifying deviation from standard quantum behavior using Kullback Leibler divergence
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arXiv
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| Hauptverfasser: | , , , , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866908742061129728 |
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| author | Wani, Salman Sajad Al-Kuwari, Saif Shi, Xiaoping Chen, Yiting Naqash, Abrar Ahmed Rubab, Seemin Faizal, Mir Kannan, S. |
| author_facet | Wani, Salman Sajad Al-Kuwari, Saif Shi, Xiaoping Chen, Yiting Naqash, Abrar Ahmed Rubab, Seemin Faizal, Mir Kannan, S. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_02496 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Classifying deviation from standard quantum behavior using Kullback Leibler divergence Wani, Salman Sajad Al-Kuwari, Saif Shi, Xiaoping Chen, Yiting Naqash, Abrar Ahmed Rubab, Seemin Faizal, Mir Kannan, S. Quantum Physics 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. |
| title | Classifying deviation from standard quantum behavior using Kullback Leibler divergence |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2308.02496 |