A bijection between the adjoint and coadjoint orbits of a semidirect product
Sign Up to like & getrecommendations! Published in 2019 at "Differential Geometry and its Applications"
DOI: 10.1016/j.difgeo.2018.12.005
Abstract: Abstract We prove that there exists a geometric bijection between the sets of adjoint and coadjoint orbits of a semidirect product, provided a similar bijection holds for particular subgroups. We also show that under certain… read more here.
Keywords: orbits semidirect; bijection; adjoint coadjoint; coadjoint orbits ... See more keywords
Clifford group is not a semidirect product in dimensions N divisible by four
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/acd891
Abstract: The paper is devoted to projective Clifford groups of quantum N-dimensional systems. Clearly, Clifford gates allow only the simplest quantum computations which can be simulated on a classical computer (Gottesmann-Knill theorem). However, it may serve… read more here.
Keywords: cli ord; divisible four; ord groups; semidirect product ... See more keywords