Scholarlink

Abstract <p>Finite-dimensional restrictions of the channel describing elementary quantum random walk are discussed in this paper. Capacity with entangled state of such channels can be accounted via maximal mutual information, and quantum capacity can be computed via maximal coherent information. Both ones are evaluated here. There is some evidence that the states with maximal mutual and coherent information are diagonal. We managed to prove it in case of dimension 2. The channels turn out to be degradable, and this fact simplifies calculation of quantum capacity. We compared our estimations with classical capacity and concluded that entangled state benefits a lot, and quantum information is possible but slightly more difficult to transmit via such channels than classical one.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Different Types of Capacity for Channels Connected with Elementary Quantum Random Walks

  • 期刊论文

  • 发表日期：

    2025年6月1日

查看全文
  • S. Grishin

摘要

Abstract

Finite-dimensional restrictions of the channel describing elementary quantum random walk are discussed in this paper. Capacity with entangled state of such channels can be accounted via maximal mutual information, and quantum capacity can be computed via maximal coherent information. Both ones are evaluated here. There is some evidence that the states with maximal mutual and coherent information are diagonal. We managed to prove it in case of dimension 2. The channels turn out to be degradable, and this fact simplifies calculation of quantum capacity. We compared our estimations with classical capacity and concluded that entangled state benefits a lot, and quantum information is possible but slightly more difficult to transmit via such channels than classical one.