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Quantum Foundations
Generalized Perfect Codes for Symmetric Classical-Quantum Channels
arXiv
Authors: Andreu Blasco Coll, Gonzalo Vazquez-Vilar, Javier R. Fonollosa
Year
2020
Paper ID
22194
Status
Preprint
Abstract Read
~2 min
Abstract Words
98
Citations
N/A
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.
Why This Paper Matters
- This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
- It adds a 2020 reference point for readers tracking recent quantum research.
- We define a new family of codes for symmetric classical-quantum channels and establish their optimality.
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