Superfast maximum-likelihood reconstruction for quantum tomography

Iterative maximum-likelihood reconstruction in quantum homodyne tomography

I propose an iterative expectation maximization algorithm for reconstructing a quantum optical ensemble from a set of balanced homodyne measurements performed on an optical state. The algorithm applies directly to the acquired data, bypassing the intermediate step of calculating marginal distributions. The advantages of the new method are made manifest by comparing it with the traditional inver...

Maximum-likelihood Algorithm for Quantum Tomography

Several years after the first demonstration [1], optical homodyne tomography has become a well established tool for measuring quantum statistical properties of optical radiation. What is particularly fascinating, this technique provides practical means to visualise the measured quantum state in the form of the Wigner function. This success is a result of combining a complete quantum mechanical ...

Maximum-likelihood coherent-state quantum process tomography

Coherent-state quantum process tomography (csQPT) is a method for completely characterizing a quantum-optical ‘black box’ by probing it with coherent states and carrying out homodyne measurements on the output (Lobino et al 2008 Science 322 563). We present a technique for csQPT that is fully based on statistical inference, in particular, quantum expectation-maximization. The method relies on t...

Polychromatic Maximum Likelihood Reconstruction for Talbot-Lau X-ray Tomography

Compared to conventional attenuation imaging, Talbot-Lau X-ray grating interferometry applied within a polychromatic setup suffers from additional artifacts. Among those are beam hardening and dispersion effects due to the complex coupling of different physical effects involved in the image formation process. In computed tomography these effects lead to image degradation, such as cupping and st...

Maximum Likelihood Algorithms for Image Reconstruction in Positron Emission Tomography