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Quantum Computation with FQHE Quasiparticles

Abstract : We propose an approach to implementing anyonic quantum computation in systems of antidots in the two-dimensional electron liquid in the FQHE regime. The approach is based on the adiabatic transfer of FQHE quasiparticles in the antidot systems and uses their fractional statistics to perform quantum logic. Advantages of our scheme over other semiconduct-based proposals of quantum computation are the energy gap in the FQHE liquid that suppresses decoherence and the topological nature of quasiparticle statistics that makes it possible to entangle two quasiparticles without their direct dynamic interaction.