On Groups in the Qubit Clifford Hierarchy

Here we study the unitary groups that can be constructed using elements from the qubit Clifford Hierarchy. We first provide a necessary and sufficient canonical form that semi-Clifford and generalized semi-Clifford elements must satisfy to be in the Clifford Hierarchy. Then we classify the groups th...

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Bibliographic Details
Main Author: Jonas T. Anderson
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2024-06-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2024-06-13-1370/pdf/