Kavli Affiliate: Oskar Painter
| First 5 Authors: Connor T. Hann, Kyungjoo Noh, Harald Putterman, Matthew H. Matheny, Joseph K. Iverson
| Summary:
Dissipative cat qubits are a promising physical platform for quantum
computing, since their large noise bias can enable more hardware-efficient
quantum error correction. In this work we theoretically study the long-term
prospects of a hybrid cat-transmon quantum computing architecture where
dissipative cat qubits play the role of data qubits, and error syndromes are
measured using ancillary transmon qubits. The cat qubits’ noise bias enables
more hardware-efficient quantum error correction, and the use of transmons
allows for practical, high-fidelity syndrome measurement. While correction of
the dominant cat Z errors with a repetition code has recently been demonstrated
in experiment, here we show how the architecture can be scaled beyond a
repetition code. In particular, we propose a cat-transmon entangling gate that
enables the correction of residual cat X errors in a thin rectangular surface
code, so that logical error can be arbitrarily suppressed by increasing code
distance. We numerically estimate logical memory performance, finding
significant overhead reductions in comparison to architectures without biased
noise. For example, with current state-of-the-art coherence, physical error
rates of $10^{-3}$ and noise biases in the range $10^{3} – 10^{4}$ are
achievable. With this level of performance, the qubit overhead required to
reach algorithmically-relevant logical error rates with the cat-transmon
architecture matches that of an unbiased-noise architecture with physical error
rates in the range $10^{-5} – 10^{-4}$.
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