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Quantum Key Distribution (QKD) enables two parties to establish a commonsecret key that is information-theoretically secure by transmitting random bitsthat are encoded as qubits and sent over a quantum channel, followed byclassical information processing steps known as information reconciliation andkey extraction. Transmission of information over a quantum channel introduceserrors that are generally considered to be due to the adversary's temperingwith the quantum channel and needs to be corrected using classicalcommunication over an (authenticated) public channel. Commonly usederror-correcting codes in the context of QKD include cascade codes, low-densityparity check (LDPC) codes, and more recently polar codes. In this work, weexplore the applicability of designing of a polar code encoder based on achannel reliability sequence. We show that the reliability sequence can bederived and used to design an encoder independent of the choice of decoder. Wethen implement our design and evaluate its performance against previousimplementations of polar code encoders for QKD as well as other typicalerror-correcting codes. A key advantage of our approach is the modular designwhich decouples the encoder and decoder design and allows independentoptimization of each. Our work leads to more versatile polar code-based errorreconciliation in QKD systems that would result in deployment in a broaderrange of scenarios.

Flexible polar encoding for information reconciliation in QKD