Qubit-oscillator-based gate implementations for approximate Gottesman-Kitaev-Preskill codes
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916957638361088 |
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| author | Brenner, Lukas Dias, Beatriz Koenig, Robert |
| author_facet | Brenner, Lukas Dias, Beatriz Koenig, Robert |
| contents | We consider hybrid qubit-oscillator systems together with Gaussian, multi-qubit as well as qubit-controlled Gaussian unitaries. We propose implementations of logical gates for approximate Gottesman-Kitaev-Preskill codes in this model using two oscillators and three qubits. We show that these gate implementations become exact in the limit of large squeezing: The logical gate error is upper bounded by a linear function of the squeezing parameter, and depends polynomially on the number of encoded qubits. For certain Cliffords, our constructions overcome a shortcoming of well-known Gaussian implementations which have a constant logical gate error even in the absence of noise. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_15707 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Qubit-oscillator-based gate implementations for approximate Gottesman-Kitaev-Preskill codes Brenner, Lukas Dias, Beatriz Koenig, Robert Quantum Physics We consider hybrid qubit-oscillator systems together with Gaussian, multi-qubit as well as qubit-controlled Gaussian unitaries. We propose implementations of logical gates for approximate Gottesman-Kitaev-Preskill codes in this model using two oscillators and three qubits. We show that these gate implementations become exact in the limit of large squeezing: The logical gate error is upper bounded by a linear function of the squeezing parameter, and depends polynomially on the number of encoded qubits. For certain Cliffords, our constructions overcome a shortcoming of well-known Gaussian implementations which have a constant logical gate error even in the absence of noise. |
| title | Qubit-oscillator-based gate implementations for approximate Gottesman-Kitaev-Preskill codes |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2509.15707 |