Engineering Kerr-cat qubits for hardware efficient quantum error correction

Qian Xu; Harald Putterman; Joseph K. Iverson; Kyungjoo Noh; Oskar J. Painter; Fernando G. S. L. Brandao; Liang Jiang

doi:10.1117/12.2614832

1 March 2022 Engineering Kerr-cat qubits for hardware efficient quantum error correction

Qian Xu, Harald Putterman, Joseph K. Iverson, Kyungjoo Noh, Oskar J. Painter, Fernando G. S. L. Brandao, Liang Jiang

Proceedings Volume 12015, Quantum Computing, Communication, and Simulation II; 120150B (2022) https://doi.org/10.1117/12.2614832
Event: SPIE OPTO, 2022, San Francisco, California, United States

Abstract

Stabilized cat qubits that possess biased noise channel with bit-flip errors exponentially smaller than phase-flip errors. Together with a set of bias-preserving (BP) gates, cat qubits are a promising candidate for realizing hardware efficient quantum error correction and fault-tolerant quantum computing. Compared to dissipatively stabilized cat qubits, the Kerr cat qubits can in principle support faster gate operations with higher gate fidelity, benefiting from the large energy gap that protects the code space. However, the leakage of the Kerr cats can increase the minor type of errors and compromise the noise bias. Both the fast implementation of gates and the interaction with environment can lead to such detrimental leakage if no sophisticated controls are applied. In this work, we introduce new fine-control techniques to overcome the above obstacles for Kerr cat qubits. To suppress the gate leakage, we use the derivative-based transition suppression technique to design derivative-based controls for the Kerr BP gates. We show that the fine-controlled gates can simultaneously have high gate fidelity and high noise bias and when applied to concatenated quantum error correction, can not only improve the logical error rate but also reduce resource overhead. To suppress the environment-induced leakage, we introduce colored single-photon dissipation, which can continuously cool the Kerr cats and suppress the minor errors while not enhancing the major errors.

Conference Presentation

Citation Download Citation

Qian Xu, Harald Putterman, Joseph K. Iverson, Kyungjoo Noh, Oskar J. Painter, Fernando G. S. L. Brandao, and Liang Jiang "Engineering Kerr-cat qubits for hardware efficient quantum error correction", Proc. SPIE 12015, Quantum Computing, Communication, and Simulation II, 120150B (1 March 2022); https://doi.org/10.1117/12.2614832

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