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Engineering Kerr-cat qubits for hardware efficient quantum error correction

Xu, Qian and Putterman, Harald and Iverson, Joseph K. and Noh, Kyungjoo and Painter, Oskar and Brandão, Fernando G. S. L. and Jiang, Liang (2022) Engineering Kerr-cat qubits for hardware efficient quantum error correction. In: Quantum Computing, Communication, and Simulation II. Proceedings of SPIE. No.12015. Society of Photo-optical Instrumentation Engineers , Bellingham, WA, Art. No. 120150B.

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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.

Item Type:Book Section
Related URLs:
URLURL TypeDescription
Xu, Qian0000-0002-8738-9420
Putterman, Harald0000-0002-5841-181X
Iverson, Joseph K.0000-0003-4665-8839
Noh, Kyungjoo0000-0002-6318-8472
Painter, Oskar0000-0002-1581-9209
Brandão, Fernando G. S. L.0000-0003-3866-9378
Jiang, Liang0000-0002-0000-9342
Additional Information:© 2022 Society of Photo-Optical Instrumentation Engineers (SPIE). We thank Aashish Clerk, Kyungjoo Noh, Shruti Puri, Harry Putterman and Hugo Ribeiro for helpful discussions. We also thank Christopher Chamberland for useful comments and suggestions on the concatenated quantum error correction. We thank Arne L. Grimsmo, Matthew H. Matheny, and Gil Refael for useful comments on the manuscript. The authors are also grateful for the support of the University of Chicago Research Computing Center for assistance with the numerical simulations carried out in this work. We acknowledge support from the ARO (W911NF-18-1-0020, W911NF-18-1-0212), ARO MURI (W911NF-16-1-0349), AFOSR MURI (FA9550-19-1-0399), NSF (EFMA-1640959, OMA-1936118, EEC-1941583), NTT Research, and the Packard Foundation (2013-39273).
Group:AWS Center for Quantum Computing, Institute for Quantum Information and Matter
Funding AgencyGrant Number
Army Research Office (ARO)W911NF-18-1-0020
Army Research Office (ARO)W911NF-18-1-0212
Army Research Office (ARO)W911NF-16-1-0349
Air Force Office of Scientific Research (AFOSR)FA9550-19-1-0399
David and Lucile Packard Foundation2013-39273
Series Name:Proceedings of SPIE
Issue or Number:12015
Record Number:CaltechAUTHORS:20220307-189714000
Persistent URL:
Official 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);
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:113787
Deposited By: George Porter
Deposited On:08 Mar 2022 21:20
Last Modified:08 Mar 2022 21:20

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