The passive rearrangement of a density operator maximizes convex Husimi functionals and minimizes Wehrl entropy among states with the same spectrum, and spherical caps maximize all Ky Fan sums of Toeplitz operators on the sphere.
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Isospectral majorization and isoperimetric inequalities for coherent states on the Bloch sphere
The passive rearrangement of a density operator maximizes convex Husimi functionals and minimizes Wehrl entropy among states with the same spectrum, and spherical caps maximize all Ky Fan sums of Toeplitz operators on the sphere.