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arXiv 1102.2338quant-ph
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通过量子网络进行完美通信的基础

The Basics of Perfect Communication through Quantum Networks

Alastair Kay

摘要:

量子态通过一维链的完美转移现在已经很好地理解了,这使得人们不仅可以决定固定的哈密顿量是否实现完美转移,而且可以设计一个合适的哈密顿量。我们特别感兴趣的是能够设计,或理解所施加的限制,哈密尔顿受到各种自然产生的约束,如有限的耦合拓扑结构与低连接性(由图指定)和类型的相互作用。在本文中,我们通过网络传输的必要和充分条件,并描述了一些自然的后果,如不可能的路由之间的许多不同的收件人为一大类的哈密顿量,和限制的传输率。我们还考虑了一些权衡,出现在均匀耦合网络(海森堡和XX模型)之间的传输距离和网络的大小作为一个结果的派生条件。

英文摘要:

Perfect transfer of a quantum state through a one-dimensional chain is now well understood, allowing one not only to decide whether a fixed Hamiltonian achieves perfect transfer, but to design a suitable one. We are particularly interested in being able to design, or understand the limitations imposed upon, Hamiltonians subject to various naturally arising constraints such as a limited coupling topology with low connectivity (specified by a graph) and type of interaction. In this paper, we characterise the necessary and sufficient conditions for transfer through a network, and describe some natural consequences such as the impossibility of routing between many different recipients for a large class of Hamiltonians, and the limitations on transfer rate. We also consider some of the trade-offs that arise in uniformly coupled networks (both Heisenberg and XX models) between transfer distance and the size of the network as a consequence of the derived conditions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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