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

Information Theory 2025-09-19 v1 math.IT Quantum Physics

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.

Keywords

Cite

@article{arxiv.2509.14852,
  title  = {On Finite-Blocklength Noisy Classical-Quantum Channel Coding With Amplitude Damping Errors},
  author = {Tamás Havas and Hsuan-Yin Lin and Eirik Rosnes and Ching-Yi Lai},
  journal= {arXiv preprint arXiv:2509.14852},
  year   = {2025}
}

Comments

Paper accepted for presentation at the 2025 IEEE Information Theory Workshop (ITW 2025). Final conference version

R2 v1 2026-07-01T05:43:38.497Z