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Quantum information sharing between topologically distinct platforms

Hou, Chang-Yu and Refael, Gil and Shtengel, Kirill (2016) Quantum information sharing between topologically distinct platforms. Physical Review B, 94 (23). Art. No. 235113. ISSN 1098-0121. http://resolver.caltech.edu/CaltechAUTHORS:20160510-083323766

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Abstract

Can topological quantum entanglement between anyons in one topological medium “stray” into a different, topologically distinct medium? In other words, can quantum information encoded nonlocally in the combined state of non-Abelian anyons be shared between two distinct topological media? For one-dimensional topological superconductors with Majorana bound states at the end of system, the quantum information store in those Majorana bound states can be transfered by directly coupling nearby Majorana bound states. However, coupling of two one-dimensional Majorana states will produce a gap, indicating that distinct topological regions of one-dimensional wires unite into a single topological region through the information transfer process. In this paper, we consider a setup with two two-dimensional p -wave superconductors of opposite chirality adjacent to each other. Even two comoving chiral modes at the domain wall between them cannot be gapped through interactions; we demonstrate that information encoded in the fermionic parity of two Majorana zero modes, originally within the same superconducting domain, can be shared between the domains or moved entirely from one domain to another provided that vortices can tunnel between them in a controlled fashion.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.94.235113DOIArticle
https://arxiv.org/abs/1512.03486arXivDiscussion Paper
Alternate Title:Topological Quantum Infidelity
Additional Information:© 2016 American Physical Society. Received 23 March 2016; revised manuscript received 12 September 2016; published 5 December 2016. The authors would like to thank D. Clarke and N. Lindner for helpful discussions. C.Y.H. and K.S. were supported in part by the DARPA-QuEST program. K.S. was supported in part by NSF Grant No. DMR-1411359. C.Y.H. and G.R. acknowledge the support from the Packard foundation and NSF Grant No. DMR-1410435. The authors are also grateful to the IQIM, an NSF center supported in part by the Moore foundation. In addition G.R. would like to acknowledge the hospitality of the Aspen Center for Physics where part of the work was done.
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
NSFDMR-1411359
David and Lucile Packard FoundationUNSPECIFIED
NSFDMR-1410435
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:20160510-083323766
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160510-083323766
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66831
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:10 May 2016 19:54
Last Modified:04 Dec 2018 19:07

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