Quantum Walk on a Line for a Trapped Ion

Peng Xue, Barry Cyril Sanders, Dietrich G. Leibfried · Physical Review Letters · 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.

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