SciPost Submission Page
Quantum computation with cat qubits
by Jérémie Guillaud, Joachim Cohen, Mazyar Mirrahimi
Submission summary
| Authors (as registered SciPost users): | Mazyar Mirrahimi |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2203.03222v3 (pdf) |
| Date accepted: | Feb. 13, 2023 |
| Date submitted: | Jan. 5, 2023, 11:37 a.m. |
| Submitted by: | Mazyar Mirrahimi |
| Submitted to: | SciPost Physics Lecture Notes |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
|
| 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)