Next Article in Journal
Detecting Metachanges in Data Streams from the Viewpoint of the MDL Principle
Previous Article in Journal
A Secure and Robust Image Hashing Scheme Using Gaussian Pyramids
Open AccessArticle

Depolarizing Channel Mismatch and Estimation Protocols for Quantum Turbo Codes

Department of Basic Sciences, Tecnun—University of Navarra, 20018 San Sebastian, Spain
Department of Electrical and Computer Engineering, University of Delaware, Newark, DE 19716, USA
Author to whom correspondence should be addressed.
Entropy 2019, 21(12), 1133;
Received: 30 September 2019 / Revised: 13 November 2019 / Accepted: 19 November 2019 / Published: 20 November 2019
(This article belongs to the Section Quantum Information)
Quantum turbo codes (QTC) have shown excellent error correction capabilities in the setting of quantum communication, achieving a performance less than 1 dB away from their corresponding hashing bounds. Decoding for QTCs typically assumes that perfect knowledge about the channel is available at the decoder. However, in realistic systems, such information must be estimated, and thus, there exists a mismatch between the true channel information and the estimated one. In this article, we first heuristically study the sensitivity of QTCs to such mismatch. Then, existing estimation protocols for the depolarizing channel are presented and applied in an off-line manner to provide bounds on how the use of off-line estimation techniques affects the error correction capabilities of QTCs. Finally, we present an on-line estimation method for the depolarizing probability, which, different from off-line estimation techniques, neither requires extra qubits, nor increases the latency. The application of the proposed method results in a performance similar to that obtained with QTCs using perfect channel information, while requiring less stringent conditions on the variability of the channel than off-line estimation techniques. View Full-Text
Keywords: quantum error correction; turbo codes; depolarizing channel; estimation quantum error correction; turbo codes; depolarizing channel; estimation
Show Figures

Figure 1

MDPI and ACS Style

Etxezarreta Martinez, J.; Crespo, P.M.; Garcia-Frías, J. Depolarizing Channel Mismatch and Estimation Protocols for Quantum Turbo Codes. Entropy 2019, 21, 1133.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Back to TopTop