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Adaptive Quantum Tests Lost Their Asymptotic Edge

Parallel, adaptive and general channel testers reached the same Stein exponent at fixed type-I error.

Published Updated Story ID: mp-2026-09-26-015
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Summary

Parallel, adaptive and general channel testers reached the same Stein exponent at fixed type-I error.

The theorem covers finite-dimensional memoryless quantum channels and identifies regularized channel relative entropy as the common asymptotic rate. The authors also derive the strong-converse exponent for general testers; this is a theoretical result rather than a hardware experiment.

Why it matters

Parallel, adaptive and general channel testers reached the same Stein exponent at fixed type-I error.

Limits and context

No additional limitation was separately recorded.

Key claims

  1. Parallel, adaptive and general channel testers reached the same Stein exponent at fixed type-I error.

    Evidence: source-2026-09-26-017

Sources

  1. arXiv preprint 2609.30268arXiv · primary research

Corrections

No corrections have been recorded for this story.