Jones Matrix Reconstruction with Undetected Photons

TL;DR

This paper introduces a quantum polarization tomography method that efficiently reconstructs a sample's Jones matrix using interference measurements, enabling non-invasive characterization in quantum imaging with different probe and detection wavelengths.

Contribution

It presents a novel, resource-efficient scheme for Jones matrix reconstruction within the QIUP framework, reducing unknowns and improving robustness in quantum imaging.

Findings

Direct extraction of sample parameters from interference visibilities

Reduced number of unknowns for Jones matrix reconstruction

Applicable to non-invasive quantum imaging with different wavelengths

Abstract

We present a theoretical polarization tomography scheme within the QIUP framework that directly extracts key sample parameters from measured interference visibilities and phase shifts. This approach establishes constant bindings for transmission amplitudes and coherence terms, thereby reducing the number of unknowns required to reconstruct the sample's Jones matrix. Our method is resource-efficient and well-suited for quantum imaging where probing and detection occur at different wavelengths, enabling robust, non-invasive characterization of complex samples.