Implementation of the quantum walk step operator in lateral quantum dots

Details Implementation of the quantum walk step operator in lateral quantum dots Implementation of the quantum walk step operator in lateral quantum dots

2009-03-06

arxiv.org/abs/0903.1236v1

Phys. Rev. B 80, 125309 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

We propose a physical implementation of the step operator of the discrete quantum walk for an electron in a one-dimensional chain of quantum dots. The operating principle of the step operator is based on locally enhanced Zeeman splitting and the role of the quantum coin is played by the spin of the electron. We calculate the probability of successful transfer of the electron in the presence of decoherence due to quantum charge fluctuations, modeled as a bosonic bath. We then analyze two mechanisms for creating locally enhanced Zeeman splitting based on, respectively, locally applied electric and magnetic fields and slanting magnetic fields. Our results imply that a success probability of > 90% is feasible under realistic experimental conditions.

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