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Graduate Seminar Series

Wed., Mar. 15, 2023 3:30 p.m.

Location: CK 185 and Live Stream

Speaker: Avner Sadikov

Title: The Diamond Norm (510 kB)

Abstract:

The concept of norms has been taught early on in mathematical careers as a method of calculating particular distances from origins, such as the magnitude of a vector. These notions of distance are implemented similarly within quantum information for distinguishing between quantum channels. Amongst other tools, the diamond norm (or completely bounded trace norm) can be the most natural and meaningful as it finds many uses in the practical characterizations of quantum processes. In this seminar, the diamond norm will be defined and explored within this environment, alongside introducing the topic of semidefinite programming to compute this norm efficiently in a deterministic polynomial time.

Live Stream: