Quantum channel correction with twisted light using compressive sensing

Abstract

Compressive sensing is used to perform high-dimensional quantum channel estimation with classical light. As an example, we perform a numerical simulation for the case of a three-dimensional classically non-separable state that is propagated through atmospheric turbulence. Using singular value thresholding algorithm based compressive sensing, we determine the channel matrix, which we subsequently use to correct for the atmospheric turbulence induced distortions. As a measure of the success of the procedure, we calculate the fidelity and the trace distance of the corrected density matrix with respect to the input state, and compare the results with those of the density matrix for the uncorrected state. Furthermore, we quantify the amount of classical non-separability in the density matrix of the corrected state by calculating its negativity. The results show that compressive sensing could contribute in the development and implementation of free-space quantum and optical communication systems.

arXiv comment9 pages, 6 figures, accepted for publication in PRA

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• Structured Light in Turbulence
• Satellite-to-Earth Quantum Key Distribution via Orbital Angular Momentum
• Performance of real-time adaptive optics compensation in a turbulent channel with high-dimensional spatial-mode encoding
• Uncertainty of quantum channels via modified generalized variance and modified generalized Wigner-Yanase-Dyson skew information