aalto1 untyped-item.component.html
Transversality Across Two Distinct Quantum Codes and Its Application to Quantum Repeaters
Loading...
Access rights
openAccess
acceptedVersion
URL
Journal Title
Journal ISSN
Volume Title
A4 Artikkeli konferenssijulkaisussa
This publication is imported from Aalto University research portal.
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
Unless otherwise stated, all rights belong to the author. You may download, display and print this publication for Your own personal use. Commercial use is prohibited.
Date
Major/Subject
Mcode
Degree programme
Language
en
Pages
7
Series
Proceedings - 2025 International Conference on Quantum Communications, Networking, and Computing, QCNC 2025, pp. 17-23
Abstract
In this work, we generalize the concept of transversality in quantum error-correcting codes. Unlike conventional methods, we study transversal logical two-qubit gates between two different codes. We consider an application of this concept for quantum networks which consist of multiple intermediate stations equipped with quantum repeaters (QRs). The stations may experience different error models. For instance, in one station, a particular Pauli error may dominate, whereas in its neighboring stations, other types of Pauli errors are more likely. The standard approach of using the same CSS code Q in different stations does not allow for simultaneously adaptating Q to be optimized to the errors prevailing in various stations. Considering this fact, we suggest using different CSS codes in each station. In this work, we analyze CNOT and CZ transversality for pairs of CSS codes and provide a complete characterization. We formulate necessary and sufficient conditions for a pair of CSS codes to be CNOT and CZ transversal. In comparison to the conventional approach of having the same CSS code, we show that these conditions are less restrictive.
Description
Publisher Copyright: © 2025 IEEE.
Keywords
Other note
Citation
Bayanifar, M, Ashikhmin, A, Jiao, D & Tirkkonen, O 2025, Transversality Across Two Distinct Quantum Codes and Its Application to Quantum Repeaters. in Proceedings - 2025 International Conference on Quantum Communications, Networking, and Computing, QCNC 2025. Proceedings - 2025 International Conference on Quantum Communications, Networking, and Computing, QCNC 2025, IEEE, pp. 17-23, International Conference on Quantum Communications, Networking, and Computing, Nara, Japan, 31/03/2025. https://doi.org/10.1109/QCNC64685.2025.00013