Volume 57, Number 2, March-April 2023
Graphs, Combinatorics, Algorithms and Optimization
|Page(s)||905 - 912|
|Published online||28 April 2023|
Steane code analysis by randomized benchmarking
Systems Engineering and Computer Science Program, Federal University of Rio de Janeiro, Av. Horácio Macedo 2030, Rio de Janeiro, RJ 21941-914, Brazil
2 National Laboratory of Scientific Computing, Av. Getúlio Vargas 333, Petrópolis, RJ 25651-075, Brazil
* Corresponding author: firstname.lastname@example.org
Accepted: 13 March 2023
Quantum error correction codes (QECC) play a fundamental role in protecting the information processed in today’s noisy quantum computers. To build good error correction schemes, it is essential to understand how noise affects the behavior of these codes. In this research paper, we analyze Steane code, a 7-qubit QECC, using a randomized benchmarking (RB) protocol. With RB protocols, we can partially characterize the quality of implementation of a set of quantum gates. We show a scenario where Steane code with one logical qubit is advantageous compared to the situation with no quantum code. We obtained our results using a quantum simulator with custom noise models considering different numbers of noisy qubits.
Mathematics Subject Classification: 68Q12 / 81P68
Key words: Quantum error correction / Steane code / performance evaluation / randomized benchmarking
© The authors. Published by EDP Sciences, ROADEF, SMAI 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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