Lifetime of topological quantum memories in thermal environment
Here we investigate the effect lattice geometry has on the lifetime of two-dimensional topological quantum memories. Initially, we introduce various lattice patterns and show how the error-tolerance against bit-flips and phase-flips depends on the structure of the underlying lattice. Subsequently, w...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2013-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/15/2/025027 |
| _version_ | 1797751726134001664 |
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| author | Abbas Al-Shimary James R Wootton Jiannis K Pachos |
| author_facet | Abbas Al-Shimary James R Wootton Jiannis K Pachos |
| author_sort | Abbas Al-Shimary |
| collection | DOAJ |
| description | Here we investigate the effect lattice geometry has on the lifetime of two-dimensional topological quantum memories. Initially, we introduce various lattice patterns and show how the error-tolerance against bit-flips and phase-flips depends on the structure of the underlying lattice. Subsequently, we investigate the dependence of the lifetime of the quantum memory on the structure of the underlying lattice when it is subject to a finite temperature. Importantly, we provide a simple effective formula for the lifetime of the memory in terms of the average degree of the lattice. Finally, we propose optimal geometries for the Josephson junction implementation of topological quantum memories. |
| first_indexed | 2024-03-12T16:52:49Z |
| format | Article |
| id | doaj.art-97ebdce8adcb429f8dd077868c2a9f0b |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:52:49Z |
| publishDate | 2013-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-97ebdce8adcb429f8dd077868c2a9f0b2023-08-08T11:05:31ZengIOP PublishingNew Journal of Physics1367-26302013-01-0115202502710.1088/1367-2630/15/2/025027Lifetime of topological quantum memories in thermal environmentAbbas Al-Shimary0James R Wootton1Jiannis K Pachos2School of Physics and Astronomy, University of Leeds , Leeds LS2 9JT, UKDepartment of Physics, University of Basel , Klingelbergstrasse 82, CH-4056 Basel, SwitzerlandSchool of Physics and Astronomy, University of Leeds , Leeds LS2 9JT, UKHere we investigate the effect lattice geometry has on the lifetime of two-dimensional topological quantum memories. Initially, we introduce various lattice patterns and show how the error-tolerance against bit-flips and phase-flips depends on the structure of the underlying lattice. Subsequently, we investigate the dependence of the lifetime of the quantum memory on the structure of the underlying lattice when it is subject to a finite temperature. Importantly, we provide a simple effective formula for the lifetime of the memory in terms of the average degree of the lattice. Finally, we propose optimal geometries for the Josephson junction implementation of topological quantum memories.https://doi.org/10.1088/1367-2630/15/2/025027 |
| spellingShingle | Abbas Al-Shimary James R Wootton Jiannis K Pachos Lifetime of topological quantum memories in thermal environment New Journal of Physics |
| title | Lifetime of topological quantum memories in thermal environment |
| title_full | Lifetime of topological quantum memories in thermal environment |
| title_fullStr | Lifetime of topological quantum memories in thermal environment |
| title_full_unstemmed | Lifetime of topological quantum memories in thermal environment |
| title_short | Lifetime of topological quantum memories in thermal environment |
| title_sort | lifetime of topological quantum memories in thermal environment |
| url | https://doi.org/10.1088/1367-2630/15/2/025027 |
| work_keys_str_mv | AT abbasalshimary lifetimeoftopologicalquantummemoriesinthermalenvironment AT jamesrwootton lifetimeoftopologicalquantummemoriesinthermalenvironment AT jianniskpachos lifetimeoftopologicalquantummemoriesinthermalenvironment |