Perfect and Quasi-Perfect Codes for the Bosonic Classical-Quantum Channel
| Autor: | Andreu Blasco Coll, Javier Fonollosa |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Doctorat en Teoria del Senyal i Comunicacions, Universitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions, Universitat Politècnica de Catalunya. SPCOM - Processament del Senyal i Comunicacions |
| Rok vydání: | 2023 |
| Předmět: |
Perfect code
Mechanical Engineering Testing Quantum channels Finite blocklength analysis Quasi-perfect code Condensed Matter Physics Codes Computer Science Applications Quantum state Informàtica::Informàtica teòrica [Àrees temàtiques de la UPC] Classical-quantum channel Computer Science (miscellaneous) Error probability Quantum communication Electrical and Electronic Engineering Quantum meta-converse Comunicació quàntica Coherent state Engineering (miscellaneous) Software |
| Zdroj: | IEEE Transactions on Quantum Engineering. 4:1-8 |
| ISSN: | 2689-1808 |
| DOI: | 10.1109/tqe.2023.3237986 |
| Popis: | 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. This work was supported in part by the MCIN/AEI/ 10.13039/501100011033 under Grant PID2019-104958RB-C41 and Grant RED2018-102668-T, in part by the Departament de Recerca i Universitats de la Generalitat de Catalunya 10.13039/501100002809 under Grant 2017 SGR 578 and Grant QuantumCAT 001-P-001644, and in part by the European Regional Development Funds (ERDF) . |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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