ON THE GEOMETRY AND INVARIANTS OF QUBITS, QUARTITS AND OCTITS-Reference-Cited by-同舟云学术

ON THE GEOMETRY AND INVARIANTS OF QUBITS, QUARTITS AND OCTITS

Published:2011-03 Issue:02 Volume:08 Page:303-313
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

PLANAT M.¹

Affiliation:

1. Institut FEMTO-ST/CNRS, 32 Avenue de l'Observatoire, 25044 Besançon Cedex, France

Abstract

Four-level quantum systems, known as quartits, and their relation to two-qubit systems are investigated group theoretically. Following the spirit of Klein's lectures on the icosahedron and their relation to Hopf sphere fibrations, invariants of complex reflection groups occurring in the theory of qubits and quartits are displayed. Then, real gates over octits leading to the Weyl group of E8 and its invariants are derived. Even multilevel systems are of interest in the context of solid state nuclear magnetic resonance.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887811005142

Reference24 articles.

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