Recoverability of quantum channels via hypothesis testing

• URL: http://arxiv.org/abs/2303.11707v2
• Date: Wed, 19 Jul 2023 08:26:01 GMT
• Title: Recoverability of quantum channels via hypothesis testing
• Authors: Anna Jen\v{c}ov\'a
• Abstract summary: A quantum channel is sufficient with respect to a set of input states if it can be reversed on this set. We present an easy proof of a characterization of sufficient quantum channels and recoverability.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A quantum channel is sufficient with respect to a set of input states if it can be reversed on this set. In the approximate version, the input states can be recovered within an error bounded by the decrease of the relative entropy under the channel. Using a new integral representation of the relative entropy in arXiv:2208.12194, we present an easy proof of a characterization of sufficient quantum channels and recoverability by preservation of optimal success probabilities in hypothesis testing problems, equivalently, by preservation of $L_1$-distance.

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