Clifford Group and Unitary Designs under Symmetry

We have generalized the well-known statement that the Clifford group is a unitary 3-design into symmetric cases by extending the notion of unitary design. Concretely, we have proven that a symmetric Clifford group is a symmetric unitary 3-design if and only if the symmetry constraint is described by...

Ausführliche Beschreibung

Bibliographische Detailangaben
Hauptverfasser: Yosuke Mitsuhashi, Nobuyuki Yoshioka
Format: Artikel
Sprache:English
Veröffentlicht: American Physical Society 2023-11-01
Schriftenreihe:PRX Quantum
Online Zugang:http://doi.org/10.1103/PRXQuantum.4.040331