Learning Coulomb Diamonds in Large Quantum Dot Arrays
We introduce an algorithm that is able to find the facets of Coulomb diamonds in quantum dot arrays. We simulate these arrays using the constant-interaction model, and rely only on one-dimensional raster scans (rays) to learn a model of the device using regularized maximum likelihood estimation....
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
SciPost
2022-10-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.13.4.084 |
| _version_ | 1817982807175069696 |
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| author | Oswin Krause, Anasua Chatterjee, Ferdinand Kuemmeth, Evert van Nieuwenburg |
| author_facet | Oswin Krause, Anasua Chatterjee, Ferdinand Kuemmeth, Evert van Nieuwenburg |
| author_sort | Oswin Krause, Anasua Chatterjee, Ferdinand Kuemmeth, Evert van Nieuwenburg |
| collection | DOAJ |
| description | We introduce an algorithm that is able to find the facets of Coulomb diamonds
in quantum dot arrays. We simulate these arrays using the constant-interaction
model, and rely only on one-dimensional raster scans (rays) to learn a model of
the device using regularized maximum likelihood estimation. This allows us to
determine, for a given charge state of the device, which transitions exist and
what the compensated gate voltages for these are. For smaller devices the
simulator can also be used to compute the exact boundaries of the Coulomb
diamonds, which we use to assess that our algorithm correctly finds the vast
majority of transitions with high precision. |
| first_indexed | 2024-04-13T23:25:03Z |
| format | Article |
| id | doaj.art-436b9c7278be45768b8fb98489640754 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-04-13T23:25:03Z |
| publishDate | 2022-10-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-436b9c7278be45768b8fb984896407542022-12-22T02:25:06ZengSciPostSciPost Physics2542-46532022-10-0113408410.21468/SciPostPhys.13.4.084Learning Coulomb Diamonds in Large Quantum Dot ArraysOswin Krause, Anasua Chatterjee, Ferdinand Kuemmeth, Evert van NieuwenburgWe introduce an algorithm that is able to find the facets of Coulomb diamonds in quantum dot arrays. We simulate these arrays using the constant-interaction model, and rely only on one-dimensional raster scans (rays) to learn a model of the device using regularized maximum likelihood estimation. This allows us to determine, for a given charge state of the device, which transitions exist and what the compensated gate voltages for these are. For smaller devices the simulator can also be used to compute the exact boundaries of the Coulomb diamonds, which we use to assess that our algorithm correctly finds the vast majority of transitions with high precision.https://scipost.org/SciPostPhys.13.4.084 |
| spellingShingle | Oswin Krause, Anasua Chatterjee, Ferdinand Kuemmeth, Evert van Nieuwenburg Learning Coulomb Diamonds in Large Quantum Dot Arrays SciPost Physics |
| title | Learning Coulomb Diamonds in Large Quantum Dot Arrays |
| title_full | Learning Coulomb Diamonds in Large Quantum Dot Arrays |
| title_fullStr | Learning Coulomb Diamonds in Large Quantum Dot Arrays |
| title_full_unstemmed | Learning Coulomb Diamonds in Large Quantum Dot Arrays |
| title_short | Learning Coulomb Diamonds in Large Quantum Dot Arrays |
| title_sort | learning coulomb diamonds in large quantum dot arrays |
| url | https://scipost.org/SciPostPhys.13.4.084 |
| work_keys_str_mv | AT oswinkrauseanasuachatterjeeferdinandkuemmethevertvannieuwenburg learningcoulombdiamondsinlargequantumdotarrays |