Qubit representations of the braid groups from generalized Yang–Baxter matrices

Qubit representations of the braid groups from generalized Yang–Baxter matrices

Generalized Yang–Baxter matrices sometimes give rise to braid group representations. We identify the exact images of some qubit representations of the braid groups from generalized Yang–Baxter matrices obtained from anyons in the metaplectic modular categories.

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Veröffentlicht in:Quantum information processing 2016-07, Vol.15 (7), p.3035-3042
Hauptverfasser: Vasquez, Jennifer F., Wang, Zhenghan, Wong, Helen M.
Format: Artikel
Sprache:eng
Schlagworte:
Data Structures and Information Theory
Mathematical Physics
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Spintronics
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Zusammenfassung:Generalized Yang–Baxter matrices sometimes give rise to braid group representations. We identify the exact images of some qubit representations of the braid groups from generalized Yang–Baxter matrices obtained from anyons in the metaplectic modular categories.
ISSN:1570-0755
1573-1332
DOI:10.1007/s11128-016-1313-0