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Quantum gates with topological phases

Radu Ionicioiu
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Abstract

We investigate two models for performing topological quantum gates with the Aharonov-Bohm (AB) and Aharonov-Casher (AC) effects. Topological one- and two-qubit Abelian phases can be enacted with the AB effect using charge qubits, whereas the AC effect can be used to perform all single-qubit gates (Abelian and non-Abelian) for spin qubits. Possible experimental setups suitable for a solid state implementation are briefly discussed.

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Radu Ionicioiu. 2003-04-29. Quantum gates with topological phases. https://doi.org/10.1103/physreva.68.034305

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