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Phys. Rev. A 73, 032306 (2006) [7 pages]

Perfect state transfer: Beyond nearest-neighbor couplings

Alastair Kay
Centre for Quantum Computation, DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
Received 6 December 2005; published 3 March 2006

In this paper we build on the ideas presented in previous works for perfectly transferring a quantum state between opposite ends of a spin chain using a fixed Hamiltonian. While all previous studies have concentrated on nearest-neighbor couplings, we demonstrate how to incorporate additional terms in the Hamiltonian by solving an inverse eigenvalue problem. We also explore issues relating to the choice of the eigenvalue spectrum of the Hamiltonian, such as the tolerance to errors and the rate of information transfer.

©2006 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.73.032306
DOI: 10.1103/PhysRevA.73.032306
PACS: 03.67.Hk; 05.50.+q
  • 03.67.Hk
    Quantum communication
  • 05.50.+q
    Lattice theory and statistics including Ising, Potts models, etc
  • YEAR: 2006
KEYWORDS: quantum communication, information theory, inverse problems, eigenvalues and eigenfunctions

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