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Hannover 2010 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 39: Quantum Information: Atoms and Ions III

Q 39.3: Talk

Wednesday, March 10, 2010, 17:15–17:30, E 214

Realization of a quantum walk with one and two trapped ions — •Florian Zähringer1,2, Gerhard Kirchmair1,2, Rene Gerritsma1,2, Enrique Solano3, Rainer Blatt1,2, and Christian Roos1,21Institut für Experimentalphysik, Universität Innsbruck, Technikerstr. 25, A-6020 Innsbruck, Austria — 2Institut für Quantenoptik und Quanteninformation, ÖAW, Otto-Hittmair-Platz 1, A-6020 Innsbruck, Austria — 3Ikerbasque, Basque Foundation for Science, Alameda Urquijo 36, 48011 Bilbao, Spain

We experimentally demonstrate a quantum walk on a line in phase space using one and two trapped ions [1]. A walk with up to 23 steps is realized by subjecting an ion to state-dependent displacement operations interleaved with quantum coin tossing operations. To analyze the ion’s motional state after each step we apply a technique that directly maps the probability density distribution onto the ion’s internal state. The measured probability distributions and the position’s second moment clearly show the non-classical character of the quantum walk. To further highlight the difference between the classical (random) and the quantum walk, we demonstrate the reversibility of the latter. Finally, we extend the quantum walk by using two ions, giving the walker the additional possibility to stay instead of taking a step.
[1] F. Zähringer et al., arXiv: 0911.1876 (2009)

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