Quantum channel correction with twisted light using compressive sensing

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 thresh...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2019-12
Main Authors: Mabena, Chemist M, Roux, Filippus S
Format: Article
Language:English
Subjects:
Algorithms
Atmospheric correction
Atmospheric turbulence
Communications systems
Computer simulation
Density
Detection
Entanglement
Mathematical analysis
Optical communication
Photonics
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1907.07379