Quantitative upper bounds for certain quantum channel divergences

Abstract:We show that completely positive maps can be decomposed into sums of submaps which are close in completely bounded trace norm but as far apart as possible in terms of geometric channel fidelity. We then show that this kind of behavior extends to a large class of quantum channel divergences. We construct quantitative norm estimates for quantum channel divergences in terms of the Arveson-Radon-Nikodym theorem.

arXiv:2610.16270 [quant-ph]

(or arXiv:2610.16270v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2610.16270 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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