Information Reconciliation for High-Dimensional Quantum Key Distribution using Nonbinary LDPC codes

Ronny Muller; Davide Bacco; Leif Katsou Oxenløwe; Søren Forchhammer

doi:10.1109/ISTC57237.2023.10273570

Information Reconciliation for High-Dimensional Quantum Key Distribution using Nonbinary LDPC codes

Ronny Muller^*, Davide Bacco, Leif Katsou Oxenløwe, Søren Forchhammer

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

Information Reconciliation is an essential part of Quantum Key distribution protocols that closely resembles Slepian-Wolf coding. The application of nonbinary LDPC codes in the Information Reconciliation stage of a high-dimensional discrete-variable Quantum Key Distribution setup is proposed. We model the quantum channel using a q-ary symmetric channel over which qudits are sent. Node degree distributions optimized via density evolution for the Quantum Key Distribution setting are presented, and we show that codes constructed using these distributions allow for efficient reconciliation of large-alphabet keys.

Original language	English
Title of host publication	Proceedings of 2023 12^th International Symposium on Topics in Coding
Publisher	IEEE
Publication date	2023
ISBN (Electronic)	9798350326116
DOIs	https://doi.org/10.1109/ISTC57237.2023.10273570
Publication status	Published - 2023
Event	12^th International Symposium on Topics in Coding - Brest, France Duration: 4 Sept 2023 → 8 Sept 2023

Conference

Conference	12^th International Symposium on Topics in Coding
Country/Territory	France
City	Brest
Period	04/09/2023 → 08/09/2023

Bibliographical note

Funding Information:
We acknowledge funding from: The Center of Excellence SPOC (ref DNRF123)

Publisher Copyright:
© 2023 IEEE.

Keywords

High-dimensional QKD
Information reconciliation
Nonbinary LDPC codes

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10.1109/ISTC57237.2023.10273570

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title = "Information Reconciliation for High-Dimensional Quantum Key Distribution using Nonbinary LDPC codes",

abstract = "Information Reconciliation is an essential part of Quantum Key distribution protocols that closely resembles Slepian-Wolf coding. The application of nonbinary LDPC codes in the Information Reconciliation stage of a high-dimensional discrete-variable Quantum Key Distribution setup is proposed. We model the quantum channel using a q-ary symmetric channel over which qudits are sent. Node degree distributions optimized via density evolution for the Quantum Key Distribution setting are presented, and we show that codes constructed using these distributions allow for efficient reconciliation of large-alphabet keys.",

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note = "Funding Information: We acknowledge funding from: The Center of Excellence SPOC (ref DNRF123) Publisher Copyright: {\textcopyright} 2023 IEEE.; 12<sup>th</sup> International Symposium on Topics in Coding, ISTC 2023 ; Conference date: 04-09-2023 Through 08-09-2023",

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AU - Bacco, Davide

AU - Oxenløwe, Leif Katsou

AU - Forchhammer, Søren

PY - 2023

Y1 - 2023

N2 - Information Reconciliation is an essential part of Quantum Key distribution protocols that closely resembles Slepian-Wolf coding. The application of nonbinary LDPC codes in the Information Reconciliation stage of a high-dimensional discrete-variable Quantum Key Distribution setup is proposed. We model the quantum channel using a q-ary symmetric channel over which qudits are sent. Node degree distributions optimized via density evolution for the Quantum Key Distribution setting are presented, and we show that codes constructed using these distributions allow for efficient reconciliation of large-alphabet keys.

AB - Information Reconciliation is an essential part of Quantum Key distribution protocols that closely resembles Slepian-Wolf coding. The application of nonbinary LDPC codes in the Information Reconciliation stage of a high-dimensional discrete-variable Quantum Key Distribution setup is proposed. We model the quantum channel using a q-ary symmetric channel over which qudits are sent. Node degree distributions optimized via density evolution for the Quantum Key Distribution setting are presented, and we show that codes constructed using these distributions allow for efficient reconciliation of large-alphabet keys.

KW - High-dimensional QKD

KW - Information reconciliation

KW - Nonbinary LDPC codes

U2 - 10.1109/ISTC57237.2023.10273570

DO - 10.1109/ISTC57237.2023.10273570

M3 - Article in proceedings

AN - SCOPUS:85174583776

BT - Proceedings of 2023 12th International Symposium on Topics in Coding

PB - IEEE

T2 - 12<sup>th</sup> International Symposium on Topics in Coding

Y2 - 4 September 2023 through 8 September 2023

ER -

Information Reconciliation for High-Dimensional Quantum Key Distribution using Nonbinary LDPC codes

Abstract

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Keywords

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