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Non-adiabatic processes in Majorana qubit systems

2013/05/21 by Mathias S. Scheurer, Alexander Shnirman · 1 citation
Physics and Astronomy · #cond-mat.mes-hall #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.88.064515

published as Phys. Rev. B 88, 064515 (2013) · 14 pages, 5 figures

arxiv created 2013/05/21 · arxiv updated 2013/09/03

Abstract

We investigate the non-adiabatic processes occurring during the manipulations of Majorana qubits in 1-D semiconducting wires with proximity induced superconductivity. Majorana qubits are usually protected by the excitation gap. Yet, manipulations performed at a finite pace can introduce both decoherence and renormalization effects. Though exponentially small for slow manipulations, these effects are important as they may constitute the ultimate decoherence mechanism. Moreover, as adiabatic topological manipulations fail to produce a universal set of quantum gates, non-adiabatic manipulations might be necessary to perform quantum computation.

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