Affordable Access

Access to the full text

The Basics of Perfect Communication through Quantum Networks

Authors
  • Kay, Alastair
Type
Published Article
Publication Date
Aug 27, 2011
Submission Date
Feb 11, 2011
Identifiers
DOI: 10.1103/PhysRevA.84.022337
Source
arXiv
License
Yellow
External links

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 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.

Report this publication

Statistics

Seen <100 times