TL;DR
This paper establishes conditions for when generalized quantum channels are extremal points, providing new insights into quantum protocols and 1-testers with binary outcomes.
Contribution
It introduces novel extremality conditions for generalized channels and quantum 1-testers, expanding the understanding of their structure and optimality.
Findings
Derived extremality conditions for generalized channels.
Provided new extremality criteria for quantum 1-testers.
Enhanced understanding of quantum measurement protocols.
Abstract
A generalized channel is a completely positive map that preserves trace on a given subspace. We find conditions under which a generalized channel with respect to a positively generated subspace J is an extreme point in the set of all such generalized channels. As a special case, this yields extremality conditions for quantum protocols. In particular, we obtain new extremality conditions for quantum 1-testers with 2 outcomes, which correspond to yes/no measurements on the set of quantum channels.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.