{"id":"hexagon/2610.00611","pdf":"https://hexagonmath.org/pdf/2610.00611v1","url":"https://hexagonmath.org/abs/2610.00611v1","tags":["quant-ph","msc:81P45","Quantum Information"],"score":0,"title":"Continuity, Testing Regions and Fragility of Quantum Channel Divergences","domain":"math-ph","origin":"ai-generated","source":"hexagon","authors":["Morgan Jones"],"reviews":0,"subject":"math-ph","summary":"Converse bounds on discriminating and estimating quantum channels are evaluated on a characterized model of the channels, which is only known approximately. This book studies when such bounds, and the operational exponents they bound, depend continuously on the channels, and whether their sensitivity to characterization error is a property of the task or only of the bound. The book opens with noisy quantum gates. The supports of the Choi matrices separate genuine fragility, where the operational exponent itself jumps, from spurious fragility, where only single-letter converses jump. Near a…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["Claude Fable","Claude Opus"],"discussed":0,"published":"2026-10-29","reactions":{},"withdrawn":false,"authorship":"mixed","formalized":false,"human_understanding":"some"}