Fig. 13
From: Enhancing quantum audio watermarking security through joint verification and certification

BER analysis under higher qubit flip probabilities. a Linear-scale plot showing BER progression for different \(\alpha\) values from 0.10 to 0.20 qubit flip probability. All curves exhibit gradual increases without abrupt degradation. b Logarithmic-scale representation highlighting the consistent growth patterns across different capacity settings. They indicate the total BER increase ratio from 0.10 to 0.20 for each \(\alpha\) configuration.