Exciton-mediated quantum search on a star graph

Exciton-mediated quantum search on a star graph A fast and efficient quantum search algorithm is established by using the ability of an exciton to propagate along a star graph that exhibits two identical energetic defects. The first defect lies on the well-defined input site where the exciton is initially created, whereas the second defect occupies the target site whose unknown position must be determined. It is shown that when the energetic defects are judiciously chosen, specific quantum interferences arise so that the probability to observe the exciton on the target site becomes close to unity at a very short time $$t^{*}$$ t ∗ . Consequently, a measurement of the exciton quantum state at time $$t^{*}$$ t ∗ will reveal the identity of the position of the target site. The key point is that $$t^{*}$$ t ∗ is the shortest time independent on the size of the graph that is physically accessible to the exciton to tunnel. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Exciton-mediated quantum search on a star graph

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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/s11128-015-1043-8
Publisher site
See Article on Publisher Site

Abstract

A fast and efficient quantum search algorithm is established by using the ability of an exciton to propagate along a star graph that exhibits two identical energetic defects. The first defect lies on the well-defined input site where the exciton is initially created, whereas the second defect occupies the target site whose unknown position must be determined. It is shown that when the energetic defects are judiciously chosen, specific quantum interferences arise so that the probability to observe the exciton on the target site becomes close to unity at a very short time $$t^{*}$$ t ∗ . Consequently, a measurement of the exciton quantum state at time $$t^{*}$$ t ∗ will reveal the identity of the position of the target site. The key point is that $$t^{*}$$ t ∗ is the shortest time independent on the size of the graph that is physically accessible to the exciton to tunnel.

Journal

Quantum Information ProcessingSpringer Journals

Published: Jun 6, 2015

References

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