量子信道渐近零误差经典容量的超激活
量子物理
2012-01-31 v3 信息论
math.IT
摘要
量子信道的零误差经典容量是指其用于完美发送经典比特（即可被零误差概率解码）的渐近速率。我们证明存在这样一对量子信道，它们各自单独没有任何零误差容量（即使可以使用任意多次），但即使只使用这两个信道各一次，也能完美可靠地发送经典信息。换句话说，我们证明了零误差经典容量可以被超激活。这一结果是量子信道经典容量超激活的首个实例。
引用
@article{arxiv.0906.2547,
title = {Superactivation of the Asymptotic Zero-Error Classical Capacity of a Quantum Channel},
author = {Toby S. Cubitt and Jianxin Chen and Aram W. Harrow},
journal= {arXiv preprint arXiv:0906.2547},
year = {2012}
}
备注
24 pages. Despite the similar title, contains different results from arXiv:0906.2527. See "Note Added" at end of paper for details. V2: Includes significantly revised proof of Theorem 27. V3: Includes expanded explanation of some of the technical details