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quant-ph2025
On spurious fixed points in iterative maximum likelihood reconstruction for quantum tomography
Florian Oberender
Maximum likelihood iteration is one of the most commonly used reconstruction algorithms in quantum tomography. The main appeal of the method is that it is easy to implement and tha…
math.NA2025
On the instabilities of naive FEM discretizations for PDEs with sign-changing coefficients
Martin Halla, Florian Oberender
We consider a scalar diffusion equation with a sign-changing coefficient in its principle part. The well-posedness of such problems has already been studied extensively provided th…