Quantum computation with cat qubits
These are the lecture notes from the 2019 Les Houches Summer School on "Quantum Information Machines". After a brief introduction to quantum error correction and bosonic codes, we focus on the case of cat qubits stabilized by a nonlinear multi-photon driven dissipation process. We argue th...
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| Format: | Article |
| Language: | English |
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SciPost
2023-06-01
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| Series: | SciPost Physics Lecture Notes |
| Online Access: | https://scipost.org/SciPostPhysLectNotes.72 |
| _version_ | 1797802496519831552 |
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| author | Jérémie Guillaud, Joachim Cohen, Mazyar Mirrahimi |
| author_facet | Jérémie Guillaud, Joachim Cohen, Mazyar Mirrahimi |
| author_sort | Jérémie Guillaud, Joachim Cohen, Mazyar Mirrahimi |
| collection | DOAJ |
| description | These are the lecture notes from the 2019 Les Houches Summer School on "Quantum Information Machines". After a brief introduction to quantum error correction and bosonic codes, we focus on the case of cat qubits stabilized by a nonlinear multi-photon driven dissipation process. We argue that such a system can be seen as a self-correcting qubit where bit-flip errors are robustly and exponentially suppressed. Next, we provide some experimental directions to engineer such a multi-photon driven dissipation process with superconducting circuits. Finally, we analyze various logical gates that can be implemented without re-introducing bit-flip errors. This set of bias-preserving gates pave the way towards a hardware-efficient and fault-tolerant quantum processor. |
| first_indexed | 2024-03-13T05:06:32Z |
| format | Article |
| id | doaj.art-1dd9cccc136c44caa9bc426f1f97ffdb |
| institution | Directory Open Access Journal |
| issn | 2590-1990 |
| language | English |
| last_indexed | 2024-03-13T05:06:32Z |
| publishDate | 2023-06-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Lecture Notes |
| spelling | doaj.art-1dd9cccc136c44caa9bc426f1f97ffdb2023-06-16T09:24:33ZengSciPostSciPost Physics Lecture Notes2590-19902023-06-017210.21468/SciPostPhysLectNotes.72Quantum computation with cat qubitsJérémie Guillaud, Joachim Cohen, Mazyar MirrahimiThese are the lecture notes from the 2019 Les Houches Summer School on "Quantum Information Machines". After a brief introduction to quantum error correction and bosonic codes, we focus on the case of cat qubits stabilized by a nonlinear multi-photon driven dissipation process. We argue that such a system can be seen as a self-correcting qubit where bit-flip errors are robustly and exponentially suppressed. Next, we provide some experimental directions to engineer such a multi-photon driven dissipation process with superconducting circuits. Finally, we analyze various logical gates that can be implemented without re-introducing bit-flip errors. This set of bias-preserving gates pave the way towards a hardware-efficient and fault-tolerant quantum processor.https://scipost.org/SciPostPhysLectNotes.72 |
| spellingShingle | Jérémie Guillaud, Joachim Cohen, Mazyar Mirrahimi Quantum computation with cat qubits SciPost Physics Lecture Notes |
| title | Quantum computation with cat qubits |
| title_full | Quantum computation with cat qubits |
| title_fullStr | Quantum computation with cat qubits |
| title_full_unstemmed | Quantum computation with cat qubits |
| title_short | Quantum computation with cat qubits |
| title_sort | quantum computation with cat qubits |
| url | https://scipost.org/SciPostPhysLectNotes.72 |
| work_keys_str_mv | AT jeremieguillaudjoachimcohenmazyarmirrahimi quantumcomputationwithcatqubits |