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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
Submission information
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
Ontological classification
Academic field: Physics
Specialties:
  • Quantum Physics
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)

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