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Quantum computation with cat qubits
by Jérémie Guillaud, Joachim Cohen, Mazyar Mirrahimi
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Submission summary
| Authors (as registered SciPost users): | Mazyar Mirrahimi |
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| Preprint Link: | https://arxiv.org/abs/2203.03222v3 (pdf) |
| Date accepted: | 2023-02-13 |
| Date submitted: | 2023-01-05 11:37 |
| Submitted by: | Mirrahimi, Mazyar |
| Submitted to: | SciPost Physics Lecture Notes |
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| Academic field: | Physics |
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| Approach: | Theoretical |
Abstract
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.
Published as SciPost Phys. Lect. Notes 72 (2023)