The domain wall color code
Fuente:
arXiv
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| Autores principales: | , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913502486069248 |
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| author | Tiurev, Konstantin Pesah, Arthur Derks, Peter-Jan H. S. Roffe, Joschka Eisert, Jens Kesselring, Markus S. Reiner, Jan-Michael |
| author_facet | Tiurev, Konstantin Pesah, Arthur Derks, Peter-Jan H. S. Roffe, Joschka Eisert, Jens Kesselring, Markus S. Reiner, Jan-Michael |
| contents | We introduce the domain wall color code, a new variant of the quantum error-correcting color code that exhibits exceptionally high code-capacity error thresholds for qubits subject to biased noise. In the infinite bias regime, a two-dimensional color code decouples into a series of repetition codes, resulting in an error-correcting threshold of 50%. Interestingly, at finite bias, our color code demonstrates thresholds identical to those of the noise-tailored XZZX surface code for all single-qubit Pauli noise channels. The design principle of the code is that it introduces domain walls which permute the code's excitations upon domain crossing. For practical implementation, we supplement the domain wall code with a scalable restriction decoder based on a matching algorithm. The proposed code is identified as a comparably resource-efficient quantum error-correcting code highly suitable for realistic noise. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_00054 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The domain wall color code Tiurev, Konstantin Pesah, Arthur Derks, Peter-Jan H. S. Roffe, Joschka Eisert, Jens Kesselring, Markus S. Reiner, Jan-Michael Quantum Physics Other Condensed Matter We introduce the domain wall color code, a new variant of the quantum error-correcting color code that exhibits exceptionally high code-capacity error thresholds for qubits subject to biased noise. In the infinite bias regime, a two-dimensional color code decouples into a series of repetition codes, resulting in an error-correcting threshold of 50%. Interestingly, at finite bias, our color code demonstrates thresholds identical to those of the noise-tailored XZZX surface code for all single-qubit Pauli noise channels. The design principle of the code is that it introduces domain walls which permute the code's excitations upon domain crossing. For practical implementation, we supplement the domain wall code with a scalable restriction decoder based on a matching algorithm. The proposed code is identified as a comparably resource-efficient quantum error-correcting code highly suitable for realistic noise. |
| title | The domain wall color code |
| topic | Quantum Physics Other Condensed Matter |
| url | https://arxiv.org/abs/2307.00054 |