SciPost Physics Lecture Notes

SciPost Phys. Lect. Notes 72 (2023) · published 16 June 2023

Part of the 2019-07: Quantum Information Machines Collection in the Les Houches Summer School Lecture Notes Series.

• doi: 10.21468/SciPostPhysLectNotes.72
• pdf
• BiBTeX
• RIS
• Submissions/Reports
• 

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.

• Régent et al., High-performance repetition cat code using fast noisy operations
  Quantum 7, 1198 1198 (2023) [Crossref]
• Gravina et al., Adaptive variational low-rank dynamics for open quantum systems
  Phys. Rev. Research 6, 023072 (2024) [Crossref]
• Flynn et al., Topological zero modes and edge symmetries of metastable Markovian bosonic systems
  Phys. Rev. B 108, 214312 (2023) [Crossref]