One-Shot Marton Inner Bound for Classical-Quantum Broadcast Channel
| Autor: | Naqueeb Ahmad Warsi, Jaikumar Radhakrishnan, Pranab Sen |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
FOS: Computer and information sciences
Computer Science - Information Theory FOS: Physical sciences 02 engineering and technology Library and Information Sciences 01 natural sciences Combinatorics 0103 physical sciences 0202 electrical engineering electronic engineering information engineering Entropy (information theory) Communication source 010306 general physics Quantum Computer Science::Information Theory Mathematics Discrete mathematics Quantum Physics Information Theory (cs.IT) Rejection sampling Codebook 020206 networking & telecommunications Computer Science Applications Quantum Physics (quant-ph) Random variable Decoding methods Information Systems Covering lemma |
| Zdroj: | IEEE Transactions on Information Theory. 62:2836-2848 |
| ISSN: | 1557-9654 0018-9448 |
| DOI: | 10.1109/tit.2016.2531795 |
| Popis: | We consider the problem of communication over a classical-quantum broadcast channel with one sender and two receivers. Generalizing the classical inner bounds shown by Marton and the recent quantum asymptotic version shown by Savov and Wilde, we obtain one-shot inner bounds in the quantum setting. Our bounds are stated in terms of smooth min and max Renyi divergences. We obtain these results using a different analysis of the random codebook argument and employ a new one-shot classical mutual covering argument based on rejection sampling. These results give a full justification of the claims of Savov and Wilde in the classical-quantum asymptotic iid setting; the techniques also yield similar bounds in the information spectrum setting. Comment: Corrected some typos and some other minor errors |
| Databáze: | OpenAIRE |
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