Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevA.84.022337
Title: Basics of perfect communication through quantum networks
Authors: Kay, A. 
Issue Date: 25-Aug-2011
Source: Kay, A. (2011-08-25). Basics of perfect communication through quantum networks. Physical Review A - Atomic, Molecular, and Optical Physics 84 (2) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevA.84.022337
Abstract: 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 characterize 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. © 2011 American Physical Society.
Source Title: Physical Review A - Atomic, Molecular, and Optical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/112386
ISSN: 10502947
DOI: 10.1103/PhysRevA.84.022337
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