Gottesman-Kitaev-Preskill state preparation using periodic driving
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916203852726272 |
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| author | Kolesnikow, Xanda C. Bomantara, Raditya Weda Doherty, Andrew C. Grimsmo, Arne L. |
| author_facet | Kolesnikow, Xanda C. Bomantara, Raditya Weda Doherty, Andrew C. Grimsmo, Arne L. |
| contents | The Gottesman-Kitaev-Preskill (GKP) code may be used to overcome noise in continuous variable quantum systems. However, preparing GKP states remains experimentally challenging. We propose a method for preparing GKP states by engineering a time-periodic Hamiltonian whose Floquet states are GKP states. This Hamiltonian may be realized in a superconducting circuit comprising a SQUID shunted by a superinductor and a capacitor, with a characteristic impedance twice the resistance quantum. The GKP Floquet states can be prepared by adiabatically tuning the frequency of the external magnetic flux drive. We predict that highly squeezed $>11.9$ dB ($10.8$ dB) GKP magic states can be prepared on a microsecond timescale, given a quality factor of $10^6$ ($10^5$) and flux noise at typical rates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_03541 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Gottesman-Kitaev-Preskill state preparation using periodic driving Kolesnikow, Xanda C. Bomantara, Raditya Weda Doherty, Andrew C. Grimsmo, Arne L. Quantum Physics The Gottesman-Kitaev-Preskill (GKP) code may be used to overcome noise in continuous variable quantum systems. However, preparing GKP states remains experimentally challenging. We propose a method for preparing GKP states by engineering a time-periodic Hamiltonian whose Floquet states are GKP states. This Hamiltonian may be realized in a superconducting circuit comprising a SQUID shunted by a superinductor and a capacitor, with a characteristic impedance twice the resistance quantum. The GKP Floquet states can be prepared by adiabatically tuning the frequency of the external magnetic flux drive. We predict that highly squeezed $>11.9$ dB ($10.8$ dB) GKP magic states can be prepared on a microsecond timescale, given a quality factor of $10^6$ ($10^5$) and flux noise at typical rates. |
| title | Gottesman-Kitaev-Preskill state preparation using periodic driving |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2303.03541 |