A Fundamental Inequality for Lower-Bounding the Error Probability for Classical and Classical-Quantum Multiple Access Channels and Its Applications
Abstract
In the study of the capacity problem for multiple access channels (MACs), a lower bound on the error probability obtained by Han plays a crucial role in the converse parts of several kinds of channel coding theorems in the information-spectrum framework. Recently, Yagi and Oohama showed a tighter bound than the Han bound by means of Polyanskiy's converse. In this paper, we give a new bound which generalizes and strengthens the Yagi-Oohama bound, and demonstrate that the bound plays a fundamental role in deriving extensions of several known bounds. In particular, the Yagi-Oohama bound is generalized to two different directions; i.e, to general input distributions and to general encoders. In addition we extend these bounds to the quantum MACs and apply them to the converse problems for several information-spectrum settings.
- Publication:
-
IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences
- Pub Date:
- 2015
- DOI:
- 10.1587/transfun.E98.A.2376
- arXiv:
- arXiv:1503.06914
- Bibcode:
- 2015IEITF..98.2376K
- Keywords:
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- Computer Science - Information Theory;
- Quantum Physics
- E-Print:
- under submission