Protecting the orbital angular momentum of photonic qubits using quantum error correction

Abstract

Photons with orbital angular momentum provide an infinite-dimensional Hilbert space. Here, we study the propagation of such photons in atmospheric turbulence and obtain the Kraus operator representation for the decoherence-induced noise. We apply quantum error correction to suppress this decoherence. Specifically, we treat correction as an optimization problem in which the distance between the actual channel and the desired channel is minimized. This method provides significant channel fidelity enhancement irrespective of the turbulence strength.