تقرير
On the categorical foundations of quantum information theory: Categories and the Cramer-Rao inequality
| العنوان: | On the categorical foundations of quantum information theory: Categories and the Cramer-Rao inequality |
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| المؤلفون: | Ciaglia, Florio M., Di Cosmo, Fabio, González-Bravo, Laura, Ibort, Alberto, Marmo, Giuseppe |
| المصدر: | Modern Physics Letters A, 2023 |
| سنة النشر: | 2023 |
| المجموعة: | Computer Science Mathematics Mathematical Physics Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, Computer Science - Information Theory, Mathematical Physics |
| الوصف: | An extension of Cencov's categorical description of classical inference theory to the domain of quantum systems is presented. It provides a novel categorical foundation to the theory of quantum information that embraces both classical and quantum information theory in a natural way, while also allowing to formalise the notion of quantum environment. A first application of these ideas is provided by extending the notion of statistical manifold to incorporate categories, and investigating a possible, uniparametric Cramer-Rao inequality in this setting. Comment: 20 pages, comments are welcome! |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1142/S0217732323500852 |
| URL الوصول: | http://arxiv.org/abs/2309.10428 |
| رقم الأكسشن: | edsarx.2309.10428 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1142/S0217732323500852 |
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