On Finite-Blocklength Noisy Classical-Quantum Channel Coding With Amplitude Damping Errors

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Tamás Havas, Hsuan-Yin Lin, Eirik Rosnes, Ching-Yi Lai

Published: 2025, Last Modified: 26 Feb 2026CoRR 2025EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: We investigate practical finite-blocklength classical-quantum channel coding over the quantum amplitude damping channel (ADC), aiming to transmit classical information reliably through quantum outputs. Our findings indicate that for any finite blocklength, a naive (uncoded) approach fails to offer any advantage over the ADC. Instead, sophisticated encoding strategies that leverage both classical error-correcting codes and quantum input states are crucial for realizing quantum performance gains at finite blocklengths.