Milestones toward Majorana-based quantum computing

D. Aasen, M. Hell, R. Mishmash, A.P. Higginbotham, J. Danon, M. Leijnse, T. Jespersen, J. Folk, C. Marcs, K. Flensberg, J. Alicea, Physical Review X 6 (2016).

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Journal Article | Published | English
Aasen, David; Hell, Michael; Mishmash, Ryan; Higginbotham, Andrew PIST Austria ; Danon, Jeroen; Leijnse, Martin; Jespersen, Thomas; Folk, Joshua; Marcs, Charles; Flensberg, Karsten; Alicea, Jason
We introduce a scheme for preparation, manipulation, and read out of Majorana zero modes in semiconducting wires with mesoscopic superconducting islands. Our approach synthesizes recent advances in materials growth with tools commonly used in quantum-dot experiments, including gate control of tunnel barriers and Coulomb effects, charge sensing, and charge pumping. We outline a sequence of milestones interpolating between zero-mode detection and quantum computing that includes (1) detection of fusion rules for non-Abelian anyons using either proximal charge sensors or pumped current, (2) validation of a prototype topological qubit, and (3) demonstration of non-Abelian statistics by braiding in a branched geometry. The first two milestones require only a single wire with two islands, and additionally enable sensitive measurements of the system\'s excitation gap, quasiparticle poisoning rates, residual Majorana zero-mode splittings, and topological-qubit coherence times. These pre-braiding experiments can be adapted to other manipulation and read out schemes as well.
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Physical Review X
We acknowledge support from Microsoft Research, the National Science Foundation through Grant No. DMR-1341822 (J. A.); the Alfred P. Sloan Foundation (J. A.); the Caltech Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation through Grant No. GBMF1250; the Walter Burke Institute for Theoretical Physics at Caltech; the NSERC PGSD program (D. A.); the Crafoord Foundation (M. L. and M. H.) and the Swedish Research Council (M. L.); The Danish National Research Foundation, and the Villum Foundation (C. M.); The Danish Council for Independent Research/Natural Sciences, and Danmarks Nationalbank (J. F.). Part of this work was performed at the Aspen Center for Physics, which is supported by National Science Foundation Grant No. PHY-1066293 (R. V. M.).
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Aasen D, Hell M, Mishmash R, et al. Milestones toward Majorana-based quantum computing. Physical Review X. 2016;6(3). doi:10.1103/PhysRevX.6.031016
Aasen, D., Hell, M., Mishmash, R., Higginbotham, A. P., Danon, J., Leijnse, M., … Alicea, J. (2016). Milestones toward Majorana-based quantum computing. Physical Review X. American Physical Society.
Aasen, David, Michael Hell, Ryan Mishmash, Andrew P Higginbotham, Jeroen Danon, Martin Leijnse, Thomas Jespersen, et al. “Milestones toward Majorana-Based Quantum Computing.” Physical Review X. American Physical Society, 2016.
D. Aasen et al., “Milestones toward Majorana-based quantum computing,” Physical Review X, vol. 6, no. 3. American Physical Society, 2016.
Aasen D, Hell M, Mishmash R, Higginbotham AP, Danon J, Leijnse M, Jespersen T, Folk J, Marcs C, Flensberg K, Alicea J. 2016. Milestones toward Majorana-based quantum computing. Physical Review X. 6(3), 031016.
Aasen, David, et al. “Milestones toward Majorana-Based Quantum Computing.” Physical Review X, vol. 6, no. 3, 031016, American Physical Society, 2016, doi:10.1103/PhysRevX.6.031016.
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