Optimal measurement strategies for quantum state and quantum channel estimation
The rapid advance of quantum information technology requires precise control and manipulation of quantum systems; in particular, it is essential to certify that quantum processors truly work quantum mechanically, in order to validate experiments and their results. The problem of certification of quantum states and devices is a demanding one, thus many attempts have been put forward to find ways of efficiently testing their basic functionalities, such as their entanglement properties. The aim of the present thesis is to find optimal strategies for the estimation and characterization of quantum states and channels, with a special focus on entanglement correlations.
We consider in particular the certification of entanglement across a given partition of a multi-qubit system, when only partial information about the corresponding quantum state is available. We also discuss the problem of separability of quantum channels in terms of the Choi matrix representation, and we shall mention some preliminary results about quantum functional testing based on Bayesian adaptive strategies. As a separate issue, we also highlight the relevance of quantum information in the context of analogue gravity.
Prof. Otfried Gühne: Department Physik, Universität Siegen (rapporteur)
Prof. Jens Siewert: Dpto. de Química-Física Facultad de Ciencia y Tecnología, Universidad del País Vasco, UPV/EHU (rapporteur)
Professeure d’université Rosa Tualle Brouri: Institut d’Optique Graduate School – Université Paris Saclay
Prof. Daniel Braun: Institut für Theoretische Physik, Universität Tübingen
Prof. Igor Lesanovsky: Institut für Theoretische Physik, Universität Tübingen
Dr. Olivier Giraud, CNRS – Université Paris Saclay
Location: Institut für Theoretische Physik, Universität Tübingen, Room H33
Zoom link: https://zoom.us/j/9347693638