Steane Code Analysis by Randomized Benchmarking
Abstract
Randomized Benchmarking (RB) is a protocol that allows to partially characterize the quality of the implementation of a set of quantum gates. In this work, we use the RB protocol to analyze the performance of the Steane code, an important quantum error correction code, and we present a scenario in which its use is advantageous when compared to the situation in which no quantum code is used.
Keywords:
quantum error correction, Steane code, randomized benchmarking
References
Anis, M. S., Abraham, H., AduOffei, R. A., et al. (2021). Qiskit: An open-source framework for quantum computing.
Combes, J., Granade, C., Ferrie, C., and Flammia, S. T. (2017). Logical randomized benchmarking. arXiv preprint arXiv:1702.03688.
Magesan, E., Gambetta, J. M., and Emerson, J. (2011). Scalable and robust randomized benchmarking of quantum processes. Physical Review Letters, 106(18):180504.
Magesan, E., Gambetta, J. M., and Emerson, J. (2012). Characterizing quantum gates via randomized benchmarking. Physical Review A, 85(4):042311.
Nielsen, M. A. and Chuang, I. L. (2010). Quantum Computation and Quantum Information: 10th Anniversary Edition. Cambridge University Press.
Shor, P. (1994). Algorithms for quantum computation: discrete logarithms and factoring. In Proceedings 35th Annual Symposium on Foundations of Computer Science, pages 124–134.
Combes, J., Granade, C., Ferrie, C., and Flammia, S. T. (2017). Logical randomized benchmarking. arXiv preprint arXiv:1702.03688.
Magesan, E., Gambetta, J. M., and Emerson, J. (2011). Scalable and robust randomized benchmarking of quantum processes. Physical Review Letters, 106(18):180504.
Magesan, E., Gambetta, J. M., and Emerson, J. (2012). Characterizing quantum gates via randomized benchmarking. Physical Review A, 85(4):042311.
Nielsen, M. A. and Chuang, I. L. (2010). Quantum Computation and Quantum Information: 10th Anniversary Edition. Cambridge University Press.
Shor, P. (1994). Algorithms for quantum computation: discrete logarithms and factoring. In Proceedings 35th Annual Symposium on Foundations of Computer Science, pages 124–134.
Published
2022-07-31
How to Cite
BARBOSA, Anderson de Souza; MARQUEZINO, Franklin de Lima; PORTUGAL, Renato.
Steane Code Analysis by Randomized Benchmarking. In: PROCEEDINGS OF THE THEORY OF COMPUTATION MEETING (ETC), 7. , 2022, Niterói.
Anais [...].
Porto Alegre: Sociedade Brasileira de Computação,
2022
.
p. 93-96.
ISSN 2595-6116.
DOI: https://doi.org/10.5753/etc.2022.223133.
