Inplace Access to the Surface Code Y Basis
In this paper, I cut the cost of Y basis measurement and initialization in the surface code by nearly an order of magnitude. Fusing twist defects diagonally across the surface code patch reaches the Y basis in $\lfloor d/2 \rfloor + 2$ rounds, without leaving the bounding box of the patch and withou...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2024-04-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2024-04-08-1310/pdf/ |
| _version_ | 1797217422612103168 |
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| author | Craig Gidney |
| author_facet | Craig Gidney |
| author_sort | Craig Gidney |
| collection | DOAJ |
| description | In this paper, I cut the cost of Y basis measurement and initialization in the surface code by nearly an order of magnitude. Fusing twist defects diagonally across the surface code patch reaches the Y basis in $\lfloor d/2 \rfloor + 2$ rounds, without leaving the bounding box of the patch and without reducing the code distance. I use Monte Carlo sampling to benchmark the performance of the construction under circuit noise, and to analyze the distribution of logical errors. Cheap inplace Y basis measurement reduces the cost of S gates and magic state factories, and unlocks Pauli measurement tomography of surface code qubits on space-limited hardware. |
| first_indexed | 2024-04-24T12:01:36Z |
| format | Article |
| id | doaj.art-223b8d6af622447aa165cfd195d690c5 |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-04-24T12:01:36Z |
| publishDate | 2024-04-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-223b8d6af622447aa165cfd195d690c52024-04-08T15:51:09ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2024-04-018131010.22331/q-2024-04-08-131010.22331/q-2024-04-08-1310Inplace Access to the Surface Code Y BasisCraig GidneyIn this paper, I cut the cost of Y basis measurement and initialization in the surface code by nearly an order of magnitude. Fusing twist defects diagonally across the surface code patch reaches the Y basis in $\lfloor d/2 \rfloor + 2$ rounds, without leaving the bounding box of the patch and without reducing the code distance. I use Monte Carlo sampling to benchmark the performance of the construction under circuit noise, and to analyze the distribution of logical errors. Cheap inplace Y basis measurement reduces the cost of S gates and magic state factories, and unlocks Pauli measurement tomography of surface code qubits on space-limited hardware.https://quantum-journal.org/papers/q-2024-04-08-1310/pdf/ |
| spellingShingle | Craig Gidney Inplace Access to the Surface Code Y Basis Quantum |
| title | Inplace Access to the Surface Code Y Basis |
| title_full | Inplace Access to the Surface Code Y Basis |
| title_fullStr | Inplace Access to the Surface Code Y Basis |
| title_full_unstemmed | Inplace Access to the Surface Code Y Basis |
| title_short | Inplace Access to the Surface Code Y Basis |
| title_sort | inplace access to the surface code y basis |
| url | https://quantum-journal.org/papers/q-2024-04-08-1310/pdf/ |
| work_keys_str_mv | AT craiggidney inplaceaccesstothesurfacecodeybasis |