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Demonstrating entanglement by testing Bell's theorem in Majorana wires

Drummond, David E. and Kovalev, Alexey A. and Hou, Chang-Yu and Shtengel, Kirill and Pryadko, Leonid P. (2014) Demonstrating entanglement by testing Bell's theorem in Majorana wires. Physical Review B, 90 (11). Art. No. 115404 . ISSN 1098-0121. http://resolver.caltech.edu/CaltechAUTHORS:20141002-085936071

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Abstract

We propose an experiment that would establish the entanglement of Majorana zero modes in semiconductor nanowires by testing the Bell and Clauser-Horne-Shimony-Holt inequalities. Our proposal is viable with realistic system parameters, simple “keyboard” gating, and projective measurement. Theoretical models and simulation results indicate entanglement can be demonstrated with moderately accurate gate operations. In addition to providing further evidence for the existence of the Majorana bound states, our proposal could be used as an experimental stepping stone to more complicated braiding experiments.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevB.90.115404DOIArticle
http://journals.aps.org/prb/abstract/10.1103/PhysRevB.90.115404PublisherArticle
http://arxiv.org/abs/1403.0916arXivDiscussion Paper
Additional Information:© 2014 American Physical Society. Received 12 April 2014; Revised manuscript received 25 August 2014; Published 4 September 2014. This work was supported in part by the U.S. Army Research Office under Grant No. W911NF-11-1-0027 (L.P.P., D.E.D.), and by the NSF under Grants No. DMR-0748925 (K.S,D.E.D.) and No. 1018935 (L.P.P., D.E.D.), as well as the DARPA-QuEST program (D.E.D., C.Y.H., and K.S.). C.Y.H. would like to acknowledge the funding support by the David and Lucile Packard Foundation. A.A.K. would like to thank the Central Facilities of the Nebraska Center for Materials and Nanoscience supported by the Nebraska Research Initiative. D.E.D. would like to thank Y. Barlas and A. De for helpful conversations.
Funders:
Funding AgencyGrant Number
Army Research Office (ARO)W911NF-11-1-0027
NSFDMR-0748925
NSF1018935
DARPA-QuEST ProgramUNSPECIFIED
David and Lucile Packard FoundationUNSPECIFIED
Nebraska Research InitiativeUNSPECIFIED
Classification Code:PACS: 03.67.Bg; 73.21.Hb; 03.65.Ud; 03.67.Ac.
Record Number:CaltechAUTHORS:20141002-085936071
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20141002-085936071
Official Citation:Drummond, D. E., Kovalev, A. A., Hou, C.-Y., Shtengel, K., & Pryadko, L. P. (2014). Demonstrating entanglement by testing Bell's theorem in Majorana wires. Physical Review B, 90(11), 115404.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:50162
Collection:CaltechAUTHORS
Deposited By: Joanne McCole
Deposited On:02 Oct 2014 20:04
Last Modified:02 Oct 2014 20:04

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