Upper bounds on the Holevo quantity arising from the fundamental entropic inequality
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913889976844288 |
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| author | Shirokov, M. E. |
| author_facet | Shirokov, M. E. |
| contents | We show how the fundamental entropic inequality proved recently in [arXiv:2408.15306] can be applied to obtain a useful relation for the Holevo quantity of discrete and continuous ensembles of quantum states.
This relation gives a tight upper bound on the Holevo quantity of a given ensemble $μ$ expressed in terms of the Holevo quantities of two auxiliary ensembles $μ_+$ and $μ_-$ produced by $μ$. Among others, this implies quite accurate upper bounds on the Holevo quantity of a discrete ensemble of quantum states expressed via the probabilities and the metric characteristics of an ensemble. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05335 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Upper bounds on the Holevo quantity arising from the fundamental entropic inequality Shirokov, M. E. Quantum Physics Information Theory Mathematical Physics We show how the fundamental entropic inequality proved recently in [arXiv:2408.15306] can be applied to obtain a useful relation for the Holevo quantity of discrete and continuous ensembles of quantum states. This relation gives a tight upper bound on the Holevo quantity of a given ensemble $μ$ expressed in terms of the Holevo quantities of two auxiliary ensembles $μ_+$ and $μ_-$ produced by $μ$. Among others, this implies quite accurate upper bounds on the Holevo quantity of a discrete ensemble of quantum states expressed via the probabilities and the metric characteristics of an ensemble. |
| title | Upper bounds on the Holevo quantity arising from the fundamental entropic inequality |
| topic | Quantum Physics Information Theory Mathematical Physics |
| url | https://arxiv.org/abs/2506.05335 |