存在先验关联与反馈时量子信道上的辨识
量子物理
2017-08-01 v4
摘要
延续我们早前的工作(quant-ph/0401060),我们针对无噪量子比特信道辨识容量为2这一结果给出两种另证:第一种通过“带随机扩展的极大码”论证直接得出;第二种通过证明1比特纠缠(可由传输1个量子比特生成)与可忽略的(量子)通信具有辨识容量2得出。这推广了Ahlswede与Dueck的随机哈希构造:1个共享随机比特配合可忽略通信具有辨识容量1。我们随后应用这些结果证明了各类量子反馈信道的容量公式:量子-经典信道的被动经典反馈、经典-量子信道的反馈模型,以及通用信道的“相干反馈”。
引用
@article{arxiv.quant-ph/0403203,
title = {Identification via Quantum Channels in the Presence of Prior Correlation and Feedback},
author = {Andreas Winter},
journal= {arXiv preprint arXiv:quant-ph/0403203},
year = {2017}
}
备注
19 pages. Requires Rinton-P9x6.cls. v2 has some minor errors/typoes corrected and the claims of remark 22 toned down (proofs are not so easy after all). v3 has references to simultaneous ID coding removed: there were necessary changes in quant-ph/0401060. v4 (final form) has minor corrections