Majorana-based quantum computing in nanowire devices
Abstract
The boundary of one-dimensional topological superconductors might lead to the appearance of Majorana zero modes, whose nontrivial exchange statistics can be used for quantum computing. In branched nanowire networks, one can exchange Majorana modes by time dependently tuning topologically nontrivial parameter regions. In this paper, we simulate the exchange of four Majorana modes in T-shaped junctions made out of $$\textit{p}$$-wave superconducting Rashba wires. Specifically, we derive concrete experimental predictions for (quasi-)adiabatic braiding times and determine geometric conditions for successful Majorana exchange processes. Moreover, we prove that, in the adiabatic limit, the gating time needs to be smaller than the inverse of the squared superconducting order parameter and scales linearly with the gating potential. Furthermore, we show how to circumvent the formation of additional Majorana modes in branched nanowire systems, arising at wire intersection points of narrow junctions. Finally, we propose a multiqubit setup, allowing for universal quantum computing.
- Authors:
-
- Univ. of Wurzburg (Germany)
- Univ. of Science and Technology of China, Hefei (China); Univ. of Texas, Austin, TX (United States)
- Univ. of Texas, Austin, TX (United States)
- Publication Date:
- Research Org.:
- Univ. of Texas, Austin, TX (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); German Research Foundation (DFG)
- OSTI Identifier:
- 1800053
- Grant/Contract Number:
- FG02-02ER45958; HA 5893/3-1; EXC 2147
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 102; Journal Issue: 12; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Materials Science; Physics
Citation Formats
Tutschku, C., Reinthaler, R. W., Lei, C., MacDonald, A. H., and Hankiewicz, E. M. Majorana-based quantum computing in nanowire devices. United States: N. p., 2020.
Web. doi:10.1103/physrevb.102.125407.
Tutschku, C., Reinthaler, R. W., Lei, C., MacDonald, A. H., & Hankiewicz, E. M. Majorana-based quantum computing in nanowire devices. United States. https://doi.org/10.1103/physrevb.102.125407
Tutschku, C., Reinthaler, R. W., Lei, C., MacDonald, A. H., and Hankiewicz, E. M. Thu .
"Majorana-based quantum computing in nanowire devices". United States. https://doi.org/10.1103/physrevb.102.125407. https://www.osti.gov/servlets/purl/1800053.
@article{osti_1800053,
title = {Majorana-based quantum computing in nanowire devices},
author = {Tutschku, C. and Reinthaler, R. W. and Lei, C. and MacDonald, A. H. and Hankiewicz, E. M.},
abstractNote = {The boundary of one-dimensional topological superconductors might lead to the appearance of Majorana zero modes, whose nontrivial exchange statistics can be used for quantum computing. In branched nanowire networks, one can exchange Majorana modes by time dependently tuning topologically nontrivial parameter regions. In this paper, we simulate the exchange of four Majorana modes in T-shaped junctions made out of $\textit{p}$-wave superconducting Rashba wires. Specifically, we derive concrete experimental predictions for (quasi-)adiabatic braiding times and determine geometric conditions for successful Majorana exchange processes. Moreover, we prove that, in the adiabatic limit, the gating time needs to be smaller than the inverse of the squared superconducting order parameter and scales linearly with the gating potential. Furthermore, we show how to circumvent the formation of additional Majorana modes in branched nanowire systems, arising at wire intersection points of narrow junctions. Finally, we propose a multiqubit setup, allowing for universal quantum computing.},
doi = {10.1103/physrevb.102.125407},
journal = {Physical Review B},
number = 12,
volume = 102,
place = {United States},
year = {Thu Sep 03 00:00:00 EDT 2020},
month = {Thu Sep 03 00:00:00 EDT 2020}
}
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