Autonomous quantum error correction and fault-tolerant quantum computation with squeezed cat qubits
Abstract We propose an autonomous quantum error correction scheme using squeezed cat (SC) code against excitation loss in continuous-variable systems. Through reservoir engineering, we show that a structured dissipation can stabilize a two-component SC while autonomously correcting the errors. The i...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2023-08-01
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| Series: | npj Quantum Information |
| Online Access: | https://doi.org/10.1038/s41534-023-00746-0 |
| _version_ | 1797557464809340928 |
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| author | Qian Xu Guo Zheng Yu-Xin Wang Peter Zoller Aashish A. Clerk Liang Jiang |
| author_facet | Qian Xu Guo Zheng Yu-Xin Wang Peter Zoller Aashish A. Clerk Liang Jiang |
| author_sort | Qian Xu |
| collection | DOAJ |
| description | Abstract We propose an autonomous quantum error correction scheme using squeezed cat (SC) code against excitation loss in continuous-variable systems. Through reservoir engineering, we show that a structured dissipation can stabilize a two-component SC while autonomously correcting the errors. The implementation of such dissipation only requires low-order nonlinear couplings among three bosonic modes or between a bosonic mode and a qutrit. While our proposed scheme is device independent, it is readily implementable with current experimental platforms such as superconducting circuits and trapped-ion systems. Compared to the stabilized cat, the stabilized SC has a much lower dominant error rate and a significantly enhanced noise bias. Furthermore, the bias-preserving operations for the SC have much lower error rates. In combination, the stabilized SC leads to substantially better logical performance when concatenating with an outer discrete-variable code. The surface-SC scheme achieves more than one order of magnitude increase in the threshold ratio between the loss rate κ 1 and the engineered dissipation rate κ 2. Under a practical noise ratio κ 1/κ 2 = 10−3, the repetition-SC scheme can reach a 10−15 logical error rate even with a small mean excitation number of 4, which already suffices for practically useful quantum algorithms. |
| first_indexed | 2024-03-10T17:17:25Z |
| format | Article |
| id | doaj.art-a813b175b4ca4544828ad39c118f3959 |
| institution | Directory Open Access Journal |
| issn | 2056-6387 |
| language | English |
| last_indexed | 2024-03-10T17:17:25Z |
| publishDate | 2023-08-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | npj Quantum Information |
| spelling | doaj.art-a813b175b4ca4544828ad39c118f39592023-11-20T10:28:16ZengNature Portfolionpj Quantum Information2056-63872023-08-019111110.1038/s41534-023-00746-0Autonomous quantum error correction and fault-tolerant quantum computation with squeezed cat qubitsQian Xu0Guo Zheng1Yu-Xin Wang2Peter Zoller3Aashish A. Clerk4Liang Jiang5Pritzker School of Molecular Engineering, The University of ChicagoPritzker School of Molecular Engineering, The University of ChicagoPritzker School of Molecular Engineering, The University of ChicagoInstitute for Theoretical Physics, University of InnsbruckPritzker School of Molecular Engineering, The University of ChicagoPritzker School of Molecular Engineering, The University of ChicagoAbstract We propose an autonomous quantum error correction scheme using squeezed cat (SC) code against excitation loss in continuous-variable systems. Through reservoir engineering, we show that a structured dissipation can stabilize a two-component SC while autonomously correcting the errors. The implementation of such dissipation only requires low-order nonlinear couplings among three bosonic modes or between a bosonic mode and a qutrit. While our proposed scheme is device independent, it is readily implementable with current experimental platforms such as superconducting circuits and trapped-ion systems. Compared to the stabilized cat, the stabilized SC has a much lower dominant error rate and a significantly enhanced noise bias. Furthermore, the bias-preserving operations for the SC have much lower error rates. In combination, the stabilized SC leads to substantially better logical performance when concatenating with an outer discrete-variable code. The surface-SC scheme achieves more than one order of magnitude increase in the threshold ratio between the loss rate κ 1 and the engineered dissipation rate κ 2. Under a practical noise ratio κ 1/κ 2 = 10−3, the repetition-SC scheme can reach a 10−15 logical error rate even with a small mean excitation number of 4, which already suffices for practically useful quantum algorithms.https://doi.org/10.1038/s41534-023-00746-0 |
| spellingShingle | Qian Xu Guo Zheng Yu-Xin Wang Peter Zoller Aashish A. Clerk Liang Jiang Autonomous quantum error correction and fault-tolerant quantum computation with squeezed cat qubits npj Quantum Information |
| title | Autonomous quantum error correction and fault-tolerant quantum computation with squeezed cat qubits |
| title_full | Autonomous quantum error correction and fault-tolerant quantum computation with squeezed cat qubits |
| title_fullStr | Autonomous quantum error correction and fault-tolerant quantum computation with squeezed cat qubits |
| title_full_unstemmed | Autonomous quantum error correction and fault-tolerant quantum computation with squeezed cat qubits |
| title_short | Autonomous quantum error correction and fault-tolerant quantum computation with squeezed cat qubits |
| title_sort | autonomous quantum error correction and fault tolerant quantum computation with squeezed cat qubits |
| url | https://doi.org/10.1038/s41534-023-00746-0 |
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