Optical vortex manipulation for topological quantum computation
Abstract
Topological quantum computation based on Majorana bound states may enable new paths to fault-tolerant quantum computing. Several recent experiments have suggested that the vortex cores of topological superconductors, such as iron-based superconductors, may host Majorana bound states at zero energy. However, quantum computation with these zero-energy vortex bound states requires precise and fast manipulation of individual vortices, which is difficult to do in a scalable manner. To address this issue, in this study we propose a control scheme based on local heating via, for example, scanning optical microscopy to braid vortex-bound Majorana zero modes in a two-dimensional topological superconductor. First, we derive the conditions required for transporting a single vortex between two defects in the superconducting material by trapping it with a hot spot generated by local optical heating. Equipped with critical conditions for the vortex motion, we then establish the ideal material properties for vortex braiding and describe how transition errors resulting from finite speed and/or temperature can be minimized. Our work paves the way toward optical or microscopic control of zero-energy vortex bound states in two-dimensional topological superconductors.
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1820835
- Alternate Identifier(s):
- OSTI ID: 1818171
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 104; Journal Issue: 10; 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; majorana bound states; quantum computation; vortices in superconductors; topological superconductors
Citation Formats
Hua, Chengyun, Halász, Gábor B., Dumitrescu, Eugene, Brahlek, Matthew, and Lawrie, Benjamin. Optical vortex manipulation for topological quantum computation. United States: N. p., 2021.
Web. doi:10.1103/physrevb.104.104501.
Hua, Chengyun, Halász, Gábor B., Dumitrescu, Eugene, Brahlek, Matthew, & Lawrie, Benjamin. Optical vortex manipulation for topological quantum computation. United States. https://doi.org/10.1103/physrevb.104.104501
Hua, Chengyun, Halász, Gábor B., Dumitrescu, Eugene, Brahlek, Matthew, and Lawrie, Benjamin. Wed .
"Optical vortex manipulation for topological quantum computation". United States. https://doi.org/10.1103/physrevb.104.104501. https://www.osti.gov/servlets/purl/1820835.
@article{osti_1820835,
title = {Optical vortex manipulation for topological quantum computation},
author = {Hua, Chengyun and Halász, Gábor B. and Dumitrescu, Eugene and Brahlek, Matthew and Lawrie, Benjamin},
abstractNote = {Topological quantum computation based on Majorana bound states may enable new paths to fault-tolerant quantum computing. Several recent experiments have suggested that the vortex cores of topological superconductors, such as iron-based superconductors, may host Majorana bound states at zero energy. However, quantum computation with these zero-energy vortex bound states requires precise and fast manipulation of individual vortices, which is difficult to do in a scalable manner. To address this issue, in this study we propose a control scheme based on local heating via, for example, scanning optical microscopy to braid vortex-bound Majorana zero modes in a two-dimensional topological superconductor. First, we derive the conditions required for transporting a single vortex between two defects in the superconducting material by trapping it with a hot spot generated by local optical heating. Equipped with critical conditions for the vortex motion, we then establish the ideal material properties for vortex braiding and describe how transition errors resulting from finite speed and/or temperature can be minimized. Our work paves the way toward optical or microscopic control of zero-energy vortex bound states in two-dimensional topological superconductors.},
doi = {10.1103/physrevb.104.104501},
journal = {Physical Review B},
number = 10,
volume = 104,
place = {United States},
year = {Wed Sep 01 00:00:00 EDT 2021},
month = {Wed Sep 01 00:00:00 EDT 2021}
}
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