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Scalable designs for quasiparticle-poisoning-protected topological quantum computation with Majorana zero modes

Karzig, Torsten and Knapp, Christina and Lutchyn, Roman M. and Bonderson, Parsa and Hastings, Matthew B. and Nayak, Chetan and Alicea, Jason and Flensberg, Karsten and Plugge, Stephan and Oreg, Yuval and Marcus, Charles M. and Freedman, Michael H. (2017) Scalable designs for quasiparticle-poisoning-protected topological quantum computation with Majorana zero modes. Physical Review B, 95 (23). Art. No. 235305. ISSN 2469-9950. https://resolver.caltech.edu/CaltechAUTHORS:20170621-103050950

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.95.235305DOIArticle
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.95.235305PublisherArticle
https://physics.aps.org/articles/v10/68Featured InPhysics : Viewpoint
ORCID:
AuthorORCID
Karzig, Torsten0000-0003-0834-0547
Additional Information:© 2017 American Physical Society. Received 24 October 2016; published 21 June 2017. It is a pleasure to acknowledge inspiring conversations with A. Akhmerov, A. Altland, D. Clarke, M. Deng, R. Egger, J. Folk, L. Kouwenhoven, D. Sabonis, E. Sela, S. Vaitiekenas, and D. Wecker. We acknowledge the Aspen Center for Physics, where parts of this work where performed and which is supported by National Science Foundation Grant No. PHY-1066293. J.A. gratefully acknowledges support from the National Science Foundation through Grant No. DMR-1341822; 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; and the Walter Burke Institute for Theoretical Physics at Caltech. C.K. acknowledges support by the National Science Foundation Graduate Research Fellowship Program under Grant No. DGE 1144085. Y.O. acknowledges support by the Israel Science Foundation (ISF), Deutsche Forschungsgemeinschaft (Bonn) within the network CRC TR 183, and the European Research Council under the European Community's Seventh Framework Program (Program No. FP7/2007-2013)/ERC Grant Agreement No. 340210. K.F. and S.P. acknowledge funding by the Danish National Research Foundation and from the Deutsche Forschungsgemeinschaft (Bonn) within the network CRC TR 183. C.M.M. thanks the Danish National Research Foundation and Villum Foundation for support.
Group:IQIM, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
NSFPHY-1066293
NSFDMR-1341822
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontiers CenterUNSPECIFIED
Gordon and Betty Moore FoundationGBMF1250
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
NSF Graduate Research FellowshipDGE-1144085
Israel Science FoundationUNSPECIFIED
Deutsche Forschungsgemeinschaft (DFG)CRC TR 183
European Research Council (ERC)340210
Danish National Research FoundationUNSPECIFIED
Villum FoundationUNSPECIFIED
Issue or Number:23
Record Number:CaltechAUTHORS:20170621-103050950
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170621-103050950
Official Citation:Scalable designs for quasiparticle-poisoning-protected topological quantum computation with Majorana zero modes Torsten Karzig, Christina Knapp, Roman M. Lutchyn, Parsa Bonderson, Matthew B. Hastings, Chetan Nayak, Jason Alicea, Karsten Flensberg, Stephan Plugge, Yuval Oreg, Charles M. Marcus, and Michael H. Freedman Phys. Rev. B 95, 235305
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78407
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:21 Jun 2017 17:42
Last Modified:03 Oct 2019 18:08

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