  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.
