Realistic Gottesman-Kitaev-Preskill stabilizer states enable universal quantum computation
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914383655862272 |
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| author | Hosseinynejad, Fariba Iyer, Pavithran Dauphinais, Guillaume Feder, David L. |
| author_facet | Hosseinynejad, Fariba Iyer, Pavithran Dauphinais, Guillaume Feder, David L. |
| contents | Physical Gottesman-Kitaev-Preskill (GKP) states are inherently noisy as ideal ones would require infinite energy. While this is typically considered as a deficiency to be actively corrected, this work demonstrates that imperfect GKP stabilizer states can be leveraged in order to apply non-Clifford gates using only linear optical elements. In particular, Gaussian operations on normalizable GKP states, combined with homodyne measurements, permit two key primitives: clean projection onto Pauli eigenstates in the normalizable GKP codespace, thereby implementing Clifford gates with high fidelity; and probabilistic projection of unmeasured modes onto non-Pauli eigenstates. These results demonstrate that normalizable GKP stabilizer states combined with Gaussian operations provide a practical framework for computational universality within the measurement-based model of quantum computation in a realistic continuous-variable setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_03874 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Realistic Gottesman-Kitaev-Preskill stabilizer states enable universal quantum computation Hosseinynejad, Fariba Iyer, Pavithran Dauphinais, Guillaume Feder, David L. Quantum Physics Physical Gottesman-Kitaev-Preskill (GKP) states are inherently noisy as ideal ones would require infinite energy. While this is typically considered as a deficiency to be actively corrected, this work demonstrates that imperfect GKP stabilizer states can be leveraged in order to apply non-Clifford gates using only linear optical elements. In particular, Gaussian operations on normalizable GKP states, combined with homodyne measurements, permit two key primitives: clean projection onto Pauli eigenstates in the normalizable GKP codespace, thereby implementing Clifford gates with high fidelity; and probabilistic projection of unmeasured modes onto non-Pauli eigenstates. These results demonstrate that normalizable GKP stabilizer states combined with Gaussian operations provide a practical framework for computational universality within the measurement-based model of quantum computation in a realistic continuous-variable setting. |
| title | Realistic Gottesman-Kitaev-Preskill stabilizer states enable universal quantum computation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2511.03874 |