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      Noise threshold and resource cost of fault-tolerant quantum computing with Majorana fermions in hybrid systems

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          Abstract

          Fault-tolerant quantum computing in systems composed by both Majorana fermions and topologically unprotected quantum systems, e.g.~superconducting circuits or quantum dots, is studied in this paper. Errors induced by topologically unprotected quantum systems need to be corrected with error correction schemes, for instance the surface code. We find that the error-correction performance of such a hybrid topological quantum computer is not superior to a normal quantum computer unless the topological charge of Majorana fermions is insusceptible to noise. If errors changing the topological charge are rare, the fault-tolerance threshold is much higher than the threshold of a normal quantum computer, and a surface-code logical qubit could be encoded in only tens of topological qubits instead of about a thousand normal qubits.

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          Journal
          1512.05089

          Quantum physics & Field theory
          Quantum physics & Field theory

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