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Phys. Rev. Lett. 103, 183602 (2009) [4 pages]

Quantum Walk on a Line for a Trapped Ion

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Peng Xue1,2, Barry C. Sanders2, and Dietrich Leibfried3
1Department of Physics, Southeast University, Nanjing 211189, People’s Republic of China
2Institute for Quantum Information Science, University of Calgary, Alberta T2N 1N4, Canada
3National Institute of Standards and Technology, Boulder, Colorado 80305, USA

Received 10 April 2009; published 28 October 2009

We show that a multistep quantum walk can be realized for a single trapped ion with an interpolation between a quantum and random walk achieved by randomizing the generalized Hadamard coin flip phase. The signature of the quantum walk is manifested not only in the ion’s position but also in its phonon number, which makes an ion-trap implementation of the quantum walk feasible.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.183602
DOI:
10.1103/PhysRevLett.103.183602
PACS:
42.50.Ex, 03.65.Yz, 03.67.Ac
 
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