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  4. Interpolation of Quantum Polar Codes and Quantum Reed-Muller Codes
 
conference paper

Interpolation of Quantum Polar Codes and Quantum Reed-Muller Codes

Hidaka, Keita
•
Abdelhadi, Dina  
•
Urbanke, Ruediger  
September 29, 2025
2025 IEEE Information Theory Workshop (ITW)
2025 IEEE Information Theory Workshop (ITW)

Good quantum error-correcting codes that fulfill practical considerations, such as simple encoding circuits and efficient decoders, are essential for functional quantum information processing systems. Quantum polar codes satisfy some of these requirements but lack certain critical features, thereby hindering their widespread use. Existing constructions either require entanglement assistance to produce valid quantum codes, suffer from poor finite-size performance, or fail to tailor polar codes to the underlying channel properties. Meanwhile, quantum Reed-Muller (RM) codes demonstrate strong performance, though no known efficient decoding algorithm exists for them. In this work, we propose strategies to interpolate between quantum polar codes and quantum RM codes, thus addressing the challenges of designing valid quantum polar codes without entanglement assistance and improving finite-size code performance.

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Type
conference paper
DOI
10.1109/itw62417.2025.11240456
Author(s)
Hidaka, Keita
Abdelhadi, Dina  

École Polytechnique Fédérale de Lausanne

Urbanke, Ruediger  

École Polytechnique Fédérale de Lausanne

Date Issued

2025-09-29

Publisher

IEEE

Published in
2025 IEEE Information Theory Workshop (ITW)
DOI of the book
https://doi.org/10.1109/ITW62417.2025
ISBN of the book

979-8-3315-3142-3

Start page

1

End page

7

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LTHC  
Event nameEvent acronymEvent placeEvent date
2025 IEEE Information Theory Workshop (ITW)

ITW 2025

Sydney, Australia

2025-09-29 - 2025-10-03

Available on Infoscience
November 24, 2025
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/256256
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