Publication:
Generalized Perfect Codes for Symmetric Classical-Quantum Channels

Loading...
Thumbnail Image
Identifiers
Publication date
2022-09-01
Defense date
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
IEEE
Impact
Google Scholar
Export
Research Projects
Organizational Units
Journal Issue
Abstract
We define a new family of codes for symmetric classical-quantum channels and establish their optimality. To this end, we extend the classical notion of generalized perfect and quasi-perfect codes to channels defined over some finite dimensional complex Hilbert output space. The resulting optimality conditions depend on the channel considered and on an auxiliary state defined on the output space of the channel. For certain $N$ -qubit classical-quantum channels, we show that codes based on a generalization of Bell states are quasi-perfect and, therefore, they feature the smallest error probability among all codes of the same blocklength and cardinality.
Description
Keywords
Classical-quantum channel, Finite blocklength analysis, Perfect code, Quantum hypothesis testing, Quantum meta-converse, Quasi-perfect code
Bibliographic citation
Blasco Coll, A., Vazquez-Vilar, G. & Fonollosa, J. R. (2022). Generalized Perfect Codes for Symmetric Classical-Quantum Channels. IEEE Transactions on Information Theory, 68(9), 5923-5936.