تقرير
Chain rules for one-shot entropic quantities via operational methods
| العنوان: | Chain rules for one-shot entropic quantities via operational methods |
|---|---|
| المؤلفون: | Chakraborty, Sayantan, Kapshikar, Upendra |
| سنة النشر: | 2023 |
| المجموعة: | Computer Science Mathematics Quantum Physics |
| مصطلحات موضوعية: | Computer Science - Information Theory, Quantum Physics |
| الوصف: | We introduce a new operational technique for deriving chain rules for general information theoretic quantities. This technique is very different from the popular (and in some cases fairly involved) methods like SDP formulation and operator algebra or norm interpolation. Instead, our framework considers a simple information transmission task and obtains lower and upper bounds for it. The lower bounds are obtained by leveraging a successive cancellation encoding and decoding technique. Pitting the upper and lower bounds against each other gives us the desired chain rule. As a demonstration of this technique, we derive chain rules for the smooth max mutual information and the smooth-Hypothesis testing mutual information. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2305.08521 |
| رقم الأكسشن: | edsarx.2305.08521 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |