Projective squeezing for translation symmetric bosonic codes
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909615395962880 |
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| author | Endo, Suguru Anai, Keitaro Matsuzaki, Yuichiro Tokunaga, Yuuki Suzuki, Yasunari |
| author_facet | Endo, Suguru Anai, Keitaro Matsuzaki, Yuichiro Tokunaga, Yuuki Suzuki, Yasunari |
| contents | The design of translation symmetric bosonic codes, e.g., Gottesmann-Kitaev-Preskill and squeezed cat codes, is robust against photon loss, but the computation accuracy is limited by the available squeezing level. Here, we introduce the \textit{projective squeezing} (PS) method for computing outcomes for a higher squeezing level by revealing that a linear combination of displacement operators with periodic displacement values constitutes the smeared projector onto the better code space; we also show the analytical relationship between the increased squeezing level and the projection probability. We introduce concrete implementation methods for PS based on linear-combination-of-unitaries and virtual quantum error detection. We also numerically verify our analytical arguments and show that our protocol can mitigate the effect of photon loss. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14218 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Projective squeezing for translation symmetric bosonic codes Endo, Suguru Anai, Keitaro Matsuzaki, Yuichiro Tokunaga, Yuuki Suzuki, Yasunari Quantum Physics The design of translation symmetric bosonic codes, e.g., Gottesmann-Kitaev-Preskill and squeezed cat codes, is robust against photon loss, but the computation accuracy is limited by the available squeezing level. Here, we introduce the \textit{projective squeezing} (PS) method for computing outcomes for a higher squeezing level by revealing that a linear combination of displacement operators with periodic displacement values constitutes the smeared projector onto the better code space; we also show the analytical relationship between the increased squeezing level and the projection probability. We introduce concrete implementation methods for PS based on linear-combination-of-unitaries and virtual quantum error detection. We also numerically verify our analytical arguments and show that our protocol can mitigate the effect of photon loss. |
| title | Projective squeezing for translation symmetric bosonic codes |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2403.14218 |