Quantum computation with cat qubits

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.

Submitted to SciPost Lecture Notes. To appear in 'Quantum Information Machines; Lecture Notes of the Les Houches Summer School 2019', eds. M. Devoret, B. Huard, and I. Pop"

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Cited by in corpus (14)

• Autoparametric resonance extending the bit-flip time of a cat qubit up to 0.3 s
• Topological zero modes and edge symmetries of metastable Markovian bosonic systems
• High-performance repetition cat code using fast noisy operations
• Adaptive variational low-rank dynamics for open quantum systems
• Harnessing two-photon dissipation for enhanced quantum measurement and control
• Mixing thermal coherent states for precision and range enhancement in quantum thermometry
• Bit-flip errors in dissipative cat qubits: second-order perturbation theory
• On Strong Bounds for Trotter and Zeno Product Formulas with Bosonic Applications
• Theory of quasiparticle-induced errors in driven-dissipative Schrödinger cat qubits
• On the role of coherence for quantum computational advantage
• Dark spin-cats as biased qubits
• Energy preserving evolutions over Bosonic systems
• Chiral-cat-state generation via the Sagnac-Fizeau effect
• Nonclassicality of multi-photon-added cat states