Bias-preserving computation with the bit-flip code
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916299039309824 |
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| author | Tsutsui, Shoichiro Kanno, Keita |
| author_facet | Tsutsui, Shoichiro Kanno, Keita |
| contents | We explore the feasibility of fault-tolerant quantum computation using the bit-flip repetition code in a biased noise channel where only the bit-flip error can occur. While several logic gates can potentially produce phase-flip errors even in such a channel, we propose bias-preserving implementation of $S$, $H$, $\mathrm{CZ}$, and $R_z$ gates. We demonstrate that our scheme improves the computational precision in several tasks such as the time evolution of quantum systems and variational quantum eigensolver. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_03264 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Bias-preserving computation with the bit-flip code Tsutsui, Shoichiro Kanno, Keita Quantum Physics We explore the feasibility of fault-tolerant quantum computation using the bit-flip repetition code in a biased noise channel where only the bit-flip error can occur. While several logic gates can potentially produce phase-flip errors even in such a channel, we propose bias-preserving implementation of $S$, $H$, $\mathrm{CZ}$, and $R_z$ gates. We demonstrate that our scheme improves the computational precision in several tasks such as the time evolution of quantum systems and variational quantum eigensolver. |
| title | Bias-preserving computation with the bit-flip code |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2310.03264 |