Correction of Quantum State Readout Statistics Using the Fuzzy Measurements Model

• Published in: Russian microelectronics 2023-12, Vol.52 (Suppl 1), p.S357-S362
• Main Authors: Dmitriev, I. A., Bogdanov, Yu. I., Bantysh, B. I., Bogdanova, N. A., Lukichev, V. F.
• Format: Article
• Language: English
• Subjects: Accuracy; Data analysis; Data processing; Electrical Engineering; Engineering; Error analysis; Error correction; Mathematical models; Quantum computing; Quantum Informatics: Computing; Quantum phenomena; Qubits (quantum computing); Robustness (mathematics); Statistical analysis
• ISSN: 1063-7397; 1608-3415
• DOI: 10.1134/S1063739723600656

— Quantum measurements play a crucial role in the field of quantum computing and quantum information processing. However, these measurements are susceptible to errors, which can compromise the accuracy and reliability of the collected statistics. In this work, we address this challenge by leveraging a Fuzzy measurements mathematical model for quantum measurement error correction. Building upon previous work dedicated to the development of the fuzzy mathematical model, which was primarily focused on quantum tomography of ion qubits, we extend its applicability to correct statistics obtained from quantum measurements in general. Rather than analyzing the sources and characteristics of readout errors, we calculate the readout errors using preliminary measurements. By utilizing these calculated errors, we derive corrections that effectively mitigate these errors. We demonstrate the efficiency of our approach through numerical simulations. Our correction approach is applicable to quantum computing platforms that rely on statistical quantum measurements, providing a practical solution for improving the accuracy of quantum data analysis. This work builds upon previous research and contributes to the development of robust techniques for accurate statistical analysis in quantum systems.