Generalized relation between fidelity and quantum adiabatic evolution

Generalized relation between fidelity and quantum adiabatic evolution Wei et al. have shown an accurate relation between the running time and the distance of the initial state and the final state of a local adiabatic evolution, that is, the adiabatic running time can be completely determined by the distance between the states. They also asked whether more complicated adiabatic evolutions have similar simple relation. We show that the adiabatic evolution with a general class of models of interpolation path proposed by Das et al. is just such another kind of adiabatic evolution which enjoys the relation discussed by Wei et al. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Generalized relation between fidelity and quantum adiabatic evolution

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Publisher
Springer Journals
Copyright
Copyright © 2015 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/s11128-015-0972-6
Publisher site
See Article on Publisher Site

Abstract

Wei et al. have shown an accurate relation between the running time and the distance of the initial state and the final state of a local adiabatic evolution, that is, the adiabatic running time can be completely determined by the distance between the states. They also asked whether more complicated adiabatic evolutions have similar simple relation. We show that the adiabatic evolution with a general class of models of interpolation path proposed by Das et al. is just such another kind of adiabatic evolution which enjoys the relation discussed by Wei et al.

Journal

Quantum Information ProcessingSpringer Journals

Published: Apr 2, 2015

References

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