Self-calibrating Tomography for Angular Schmidt Modes in Spontaneous Parametric Down-Conversion
Stanislav Straupe, Denis Ivanov, Alexander Kalinkin, Ivan Bobrov,, Sergey P. Kulik, D.Mogilevtsev

TL;DR
This paper introduces a self-calibrating tomography method for high-dimensional quantum entanglement characterization using Schmidt decomposition, enabling accurate inference of eigenvalues and detection efficiencies.
Contribution
It presents a novel self-tomography approach based on maximal likelihood estimation for entanglement analysis in high-dimensional quantum systems.
Findings
Successfully characterized Schmidt eigenvalues and detection efficiencies.
Demonstrated the effectiveness of self-calibration in quantum tomography.
Enhanced accuracy in entanglement measurement in experimental setups.
Abstract
We report an experimental self-calibrating tomography scheme for entanglement characterization in high-dimensional quantum systems using Schmidt decomposition techniques. The self-tomography technique based on maximal likelihood estimation was developed for characterizing non-ideal measurements in Schmidt basis allowing us to infer both Schmidt eigenvalues and detecting efficiencies.
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