Quantum query complexity of symmetric oracle problems

We study the query complexity of quantum learning problems in which the oracles form a group $G$ of unitary matrices. In the simplest case, one wishes to identify the oracle, and we find a description of the optimal success probability of a $t$-query quantum algorithm in terms of group characters. A...

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Bibliographic Details
Main Authors: Daniel Copeland, Jamie Pommersheim
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2021-03-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2021-03-07-403/pdf/