# Compressed sensing of twisted photons

## TL;DR

This paper introduces a compressed sensing method to efficiently reconstruct rank-deficient qudit states encoded in photonic orbital angular momentum, enabling quick and accurate quantum state characterization with minimal measurements.

## Contribution

The authors develop and experimentally demonstrate a compressed sensing approach for quantum state tomography of photonic qudits, reducing measurement requirements compared to traditional methods.

## Key findings

- Successful reconstruction of qudit states with few measurements
- Experimental validation using photonic orbital angular momentum
- Potential for rapid quantum source and channel identification

## Abstract

The ability to completely characterize the state of a quantum system is an essential element for the emerging quantum technologies. Here, we present a compressed-sensing inspired method to ascertain any rank-deficient qudit state, which we experimentally encode in photonic orbital angular momentum. We efficiently reconstruct these qudit states from a few scans with an intensified CCD camera. Since it requires only a few intensity measurements, our technique would provide an easy and accurate way to identify quantum sources, channels, and systems.