Continuous Krishna-Parthasarathy Entropic Uncertainty Principle
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866911875817537536 |
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| author | Krishna, K. Mahesh |
| author_facet | Krishna, K. Mahesh |
| contents | In 2002, Krishna and Parthasarathy [\textit{Sankhyā Ser. A}] derived discrete quantum version of Maassen-Uffink [\textit{Phys. Rev. Lett., 1988}] entropic uncertainty principle. In this paper, using the notion of continuous operator-valued frames, we derive an entropic uncertainty principle for arbitrary family of operators indexed by measure spaces having finite measure. We give an application to the special case of compact groups. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_08003 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Continuous Krishna-Parthasarathy Entropic Uncertainty Principle Krishna, K. Mahesh Functional Analysis Information Theory Operator Algebras Quantum Algebra 81P15, 94A17, 42C15 In 2002, Krishna and Parthasarathy [\textit{Sankhyā Ser. A}] derived discrete quantum version of Maassen-Uffink [\textit{Phys. Rev. Lett., 1988}] entropic uncertainty principle. In this paper, using the notion of continuous operator-valued frames, we derive an entropic uncertainty principle for arbitrary family of operators indexed by measure spaces having finite measure. We give an application to the special case of compact groups. |
| title | Continuous Krishna-Parthasarathy Entropic Uncertainty Principle |
| topic | Functional Analysis Information Theory Operator Algebras Quantum Algebra 81P15, 94A17, 42C15 |
| url | https://arxiv.org/abs/2405.08003 |