Quantum Knowledge in Phase Space
Quantum physics through the lens of Bayesian statistics considers probability to be a degree of belief and subjective. A Bayesian derivation of the probability density function in phase space is presented. Then, a Kullback–Liebler divergence in phase space is introduced to define interference and en...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-08-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/25/8/1227 |
| _version_ | 1797584831059591168 |
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| author | Davi Geiger |
| author_facet | Davi Geiger |
| author_sort | Davi Geiger |
| collection | DOAJ |
| description | Quantum physics through the lens of Bayesian statistics considers probability to be a degree of belief and subjective. A Bayesian derivation of the probability density function in phase space is presented. Then, a Kullback–Liebler divergence in phase space is introduced to define interference and entanglement. Comparisons between each of these two quantities and the entropy are made. A brief presentation of entanglement in phase space to the spin degree of freedom and an extension to mixed states completes the work. |
| first_indexed | 2024-03-10T23:57:19Z |
| format | Article |
| id | doaj.art-6bb5c70d41b743dea2e52a90873d8b64 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T23:57:19Z |
| publishDate | 2023-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-6bb5c70d41b743dea2e52a90873d8b642023-11-19T01:00:22ZengMDPI AGEntropy1099-43002023-08-01258122710.3390/e25081227Quantum Knowledge in Phase SpaceDavi Geiger0Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USAQuantum physics through the lens of Bayesian statistics considers probability to be a degree of belief and subjective. A Bayesian derivation of the probability density function in phase space is presented. Then, a Kullback–Liebler divergence in phase space is introduced to define interference and entanglement. Comparisons between each of these two quantities and the entropy are made. A brief presentation of entanglement in phase space to the spin degree of freedom and an extension to mixed states completes the work.https://www.mdpi.com/1099-4300/25/8/1227Bayesian statisticsinterferenceentanglemententropyKullback–Liebler divergence |
| spellingShingle | Davi Geiger Quantum Knowledge in Phase Space Entropy Bayesian statistics interference entanglement entropy Kullback–Liebler divergence |
| title | Quantum Knowledge in Phase Space |
| title_full | Quantum Knowledge in Phase Space |
| title_fullStr | Quantum Knowledge in Phase Space |
| title_full_unstemmed | Quantum Knowledge in Phase Space |
| title_short | Quantum Knowledge in Phase Space |
| title_sort | quantum knowledge in phase space |
| topic | Bayesian statistics interference entanglement entropy Kullback–Liebler divergence |
| url | https://www.mdpi.com/1099-4300/25/8/1227 |
| work_keys_str_mv | AT davigeiger quantumknowledgeinphasespace |