Quantum gates with topological phases

Physics – Quantum Physics

Scientific paper

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2 figures, RevTex4

Scientific paper

10.1103/PhysRevA.68.034305

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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