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Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes

2016/10/17 by Torsten Karzig, Christina Knapp, Roman M. Lutchyn +9 · 1 voice · 3 citations
Physics and Astronomy · #cond-mat.mes-hall #cond-mat.supr-con #quant-ph

paper · pdf · doi:10.1103/physrevb.95.235305

published as Phys. Rev. B 95, 235305 (2017) · 34 pages, 17 figures; v4: minor changes, final version

arxiv published 2016/10/17 · arxiv created 2017/06/21 · arxiv updated 2017/06/21

Abstract

We present designs for scalable quantum computers composed of qubits encoded in aggregates of four or more Majorana zero modes, realized at the ends of topological superconducting wire segments that are assembled into superconducting islands with significant charging energy. Quantum information can be manipulated according to a measurement-only protocol, which is facilitated by tunable couplings between Majorana zero modes and nearby semiconductor quantum dots. Our proposed architecture designs have the following principal virtues: (1) the magnetic field can be aligned in the direction of all of the topological superconducting wires since they are all parallel; (2) topological T-junctions are not used, obviating possible difficulties in their fabrication and utilization; (3) quasiparticle poisoning is abated by the charging energy; (4) Clifford operations are executed by a relatively standard measurement: detection of corrections to quantum dot energy, charge, or differential capacitance induced by quantum fluctuations; (5) it is compatible with strategies for producing good approximate magic states.

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