Perfect and Quasi-Perfect Codes for the Bosonic Classical-Quantum Channel

In this article, we explore perfect and quasi-perfect codes for the Bosonic channel, where information is generated by a laser and conveyed in the form of coherent states. In particular, we consider the phase-modulation codebook for coherent states in a Bosonic channel. We show that these phase-modu...

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Bibliographic Details
Published in:IEEE transactions on quantum engineering 2023, Vol.4, p.1-8
Main Authors: Coll, Andreu Blasco, Fonollosa, Javier R.
Format: Article
Language:English
Subjects:
Classical-quantum channel
Codes
Coherence
coherent state
Error probability
finite blocklength analysis
Hilbert space
Modulation
perfect code
Phase modulation
Quantum channels
quantum meta-converse
Quantum state
quasi-perfect code
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Summary:In this article, we explore perfect and quasi-perfect codes for the Bosonic channel, where information is generated by a laser and conveyed in the form of coherent states. In particular, we consider the phase-modulation codebook for coherent states in a Bosonic channel. We show that these phase-modulation codes are quasi-perfect as long as the cardinality of the code is the same as the dimension of the coherent states. These codes feature the smallest error probability among all codes of the same cardinality and the same dimension of the channel Hilbert space. We study the performance of these codes in terms of error probability, incorporating the degradation caused by a depolarizing or an erasure quantum channel.
ISSN:2689-1808
2689-1808
DOI:10.1109/TQE.2023.3237986