Regensburg 2013 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 58: Poster Session Transport & Matter at Low Temperature

TT 58.31: Poster

Thursday, March 14, 2013, 15:00–19:00, Poster D

Decoherence of the Majorana fermions — •François Konschelle and Fabian Hassler — Institute for Quantum Information, RWTH Aachen University, 52056 Aachen, Germany

Majorana fermion is one of the possible candidates for future quantum computation implementations. Of interest are their topological properties which protect them from decoherence. More precisely, the delocalization of the Majorana wave function at the two ends of a semi-conducting wire in the proximity with a superconductor allows the parity (i.e. the number of fermions) to be conserved up to some exponential corrections. We want to discuss the decoherence aspects of the Majorana fermion in general terms. To do that, we first establish a toy-model for the calculation of the wave function associated with a delocalized Majorana fermion. Then, we discuss the possibilities for exciting a proximity-induced superconductor. Finally, we discuss the decoherence characteristic times associated with several quantities, the most important of them being the parity of a given part of the wire.