Perfect state transfer on spin-1 chains

Perfect state transfer on spin-1 chains We show that networks of spin-1 particles connected in a special geometry and subject to Affleck–Kennedy–Lieb–Tasaki (AKLT) interaction are capable of perfectly transferring states of particles (qubits and qutrits) if we also allow a global control of the network in predetermined time intervals. The geometry can be one, two, and three dimensional. The strengths of the couplings have the same modulus, and only their signs differ on various bonds. Any particle which is routed in the network acquires relative phase shifts which can be corrected after it is extracted from the network. An advantage of this protocol is that one can route more than one particle through the network simultaneously. We show that a uniform magnetic fields do not deteriorate the fidelity and only change the relative phases in a controllable way. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Perfect state transfer on spin-1 chains

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Publisher
Springer US
Copyright
Copyright © 2013 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-013-0676-8
Publisher site
See Article on Publisher Site

Abstract

We show that networks of spin-1 particles connected in a special geometry and subject to Affleck–Kennedy–Lieb–Tasaki (AKLT) interaction are capable of perfectly transferring states of particles (qubits and qutrits) if we also allow a global control of the network in predetermined time intervals. The geometry can be one, two, and three dimensional. The strengths of the couplings have the same modulus, and only their signs differ on various bonds. Any particle which is routed in the network acquires relative phase shifts which can be corrected after it is extracted from the network. An advantage of this protocol is that one can route more than one particle through the network simultaneously. We show that a uniform magnetic fields do not deteriorate the fidelity and only change the relative phases in a controllable way.

Journal

Quantum Information ProcessingSpringer Journals

Published: Nov 20, 2013

References

  • Statistics of a quantum-state-transfer Hamiltonian in the presence of disorder
    Nikolopoulos, GN

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