Channel capacities of classical and quantum list decoding
量子物理
2007-07-13 v3 信息论
math.IT
摘要
We focus on classical and quantum list decoding. The capacity of list decoding was obtained by Nishimura in the case when the number of list does not increase exponentially. However, the capacity of the exponential-list case is open even in the classical case while its converse part was obtained by Nishimura. We derive the channel capacities in the classical and quantum case with an exponentially increasing list. The converse part of the quantum case is obtained by modifying Nagaoka's simple proof for strong converse theorem for channel capacity. The direct part is derived by a quite simple argument.
引用
@article{arxiv.quant-ph/0603031,
title = {Channel capacities of classical and quantum list decoding},
author = {Masahito Hayashi},
journal= {arXiv preprint arXiv:quant-ph/0603031},
year = {2007}
}