Logical-qubit operations in an error-detecting surface code

Autor: Marques, J. F., Varbanov, B. M., Moreira, M. S., Ali, H., Muthusubramanian, N., Zachariadis, C., Battistel, F., Beekman, M., Haider, N., Vlothuizen, W., Bruno, A., Terhal, B. M., DiCarlo, L.
Rok vydání: 2021
Předmět:
Zdroj: Nature Physics 18, 80 (2022)
Druh dokumentu: Working Paper
DOI: 10.1038/s41567-021-01423-9
Popis: We realize a suite of logical operations on a distance-two logical qubit stabilized using repeated error detection cycles. Logical operations include initialization into arbitrary states, measurement in the cardinal bases of the Bloch sphere, and a universal set of single-qubit gates. For each type of operation, we observe higher performance for fault-tolerant variants over non-fault-tolerant variants, and quantify the difference through detailed characterization. In particular, we demonstrate process tomography of logical gates, using the notion of a logical Pauli transfer matrix. This integration of high-fidelity logical operations with a scalable scheme for repeated stabilization is a milestone on the road to quantum error correction with higher-distance superconducting surface codes.
Comment: 16 pages, 9 figures, 2 tables
Databáze: arXiv