Perfect and quasi-perfect codes for the Bosonic classical-quantum channel

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...

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Detalhes bibliográficos
Autores: Blasco Coll, Andreu, Rodríguez Fonollosa, Javier|||0000-0002-0136-2586
Formato: artículo
Fecha de publicación:2023
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/384530
Acesso em linha:https://hdl.handle.net/2117/384530
https://dx.doi.org/10.1109/TQE.2023.3237986
Access Level:acceso abierto
Palavra-chave:Quantum communication
Codes
Error probability
Testing
Quantum state
Quantum channels
Classical-quantum channel
Coherent state
Finite blocklength analysis
Perfect code
Quantum meta-converse
Quasi-perfect code
Comunicació quàntica
Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica
Descrição
Resumo: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.