Tight entropy bound based on p-quasinorms
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916363479547904 |
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| author | Lopez, Juan Pablo |
| author_facet | Lopez, Juan Pablo |
| contents | In the present paper we prove a family of tight upper and lower bounds for the Shannon entropy and von Neumann entropy based on the p-norms. This allows us to have an entropy estimate, a criterion for the finiteness of it and a bound on the difference of entropy, additionally, we did some numerical tests that show the efficiency of our approximations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_11154 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tight entropy bound based on p-quasinorms Lopez, Juan Pablo Information Theory In the present paper we prove a family of tight upper and lower bounds for the Shannon entropy and von Neumann entropy based on the p-norms. This allows us to have an entropy estimate, a criterion for the finiteness of it and a bound on the difference of entropy, additionally, we did some numerical tests that show the efficiency of our approximations. |
| title | Tight entropy bound based on p-quasinorms |
| topic | Information Theory |
| url | https://arxiv.org/abs/2408.11154 |