Title
Depolarizing Channel Mismatch and Estimation Protocols for Quantum Turbo Codes
Abstract
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.
Year
DOI
Venue
2019
10.3390/e21121133
ENTROPY
Keywords
Field
DocType
quantum error correction,turbo codes,depolarizing channel,estimation
Mathematical optimization,Turbo code,Algorithm,Communication channel,Error detection and correction,Hash function,Quantum information science,Decoding methods,Qubit,Mathematics,Quantum error correction
Journal
Volume
Issue
Citations 
21
12
1
PageRank 
References 
Authors
0.39
0
3
Name
Order
Citations
PageRank
Josu Etxezarreta Martinez130.77
Pedro M. Crespo210.39
Javier Garcia-Frias371669.63