Impacts of low-order aberrations on capacity of orbital-angular-momentum quantum states

We use Hypergeometric Gaussian-II(HyGG-II)modes to investigate the impacts of non-Kolmogorov atmospheric turbulence on the Holevo channel capacity of a quantum communication scheme.The capacity of HyGG-II modes can be higher than that of Laguerre-Gaussian modes via modulating the hollowness parameter.The influences of low-order turbulence aberrations including tilt,defocus,astigmatism,and coma on the capacity are also explored.Generally,tilt aberration dominates among all low-order aberrations and defocus and astigmatism aberrations are always negligible.By contrast,the effect of coma aberration can be enhanced to be non-negligible when the turbulence strength or the channel zenith angle is enhanced.We also show that only the total and tilt aberrations are sensitive to the non-Kolmogorov power-law exponent.Our results may contribute to the quantum optical communication as well as aberration compensation in turbulent channels utilizing the novel family of vortex beams.