Efficient Qubit Calibration by Binary-Search Hamiltonian Tracking

Berritta, Fabrizio and Benestad, Jacob and Pahl, Lukas and Mathews, Melvin and Krzywda, Jan A. and Assouly, Reouven and Sung, Youngkyu and Kim, David K. and Niedzielski, Bethany M. and Serniak, Kyle and Schwartz, Mollie E. and Yoder, Jonilyn L. and Chatterjee, Anasua and Grover, Jeffrey A. and Danon, Jeroen and Oliver, William D. and Kuemmeth, Ferdinand (2025) Efficient Qubit Calibration by Binary-Search Hamiltonian Tracking. PRX QUANTUM, 6 (3): 030335. ISSN 2691-3399

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Abstract

We present and experimentally implement a real-time protocol for calibrating the frequency of a resonantly driven qubit, achieving exponential scaling in calibration precision with the number of measurements, up to the limit imposed by decoherence. The real-time processing capabilities of a classical controller dynamically generate adaptive probing sequences for qubit-frequency estimation. Each probing evolution time and drive frequency are calculated to divide the prior probability distribution into two branches, following a locally optimal strategy that mimics a conventional binary search. The scheme does not require repeated measurements at the same setting, as it accounts for state preparation and measurement errors. Its use of a parametrized probability distribution favors numerical accuracy and computational speed. We show the efficacy of the algorithm by stabilizing a flux-tunable transmon qubit, leading to improved coherence and gate fidelity. As benchmarked by gate-set tomography, the field-programmable gate array (FPGA) powered control electronics partially mitigates non-Markovian noise, which is detrimental to quantum error correction. The mitigation is achieved by dynamically updating and feeding forward the qubit frequency. Our protocol highlights the importance of feedback in improving the calibration and stability of qubits subject to drift and can be readily applied to other qubit platforms.

Item Type: Article
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Experimental and Applied Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 15 Jul 2026 09:36
Last Modified: 15 Jul 2026 09:36
URI: https://pred.uni-regensburg.de/id/eprint/67272

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