Volkher Scholz, Institute for Theoretical Physics ETH Zurich
Abstract:
We discuss information theoretic concepts for physical systems with infinitely many degrees of freedom. These systems are modelled as algebras of operators acting on Hilbert spaces, and their properties require an extension of the usual formalism of quantum information theory. We start by considering entropic measures, especially one-shot measures based on operational primitives and show how these primitives can be extended to cover the infinite-dimensional case. We next consider entropic uncertainty relations against any kind of quantum side information, both for discrete as well as for continuous outcome measurements, and sketch how our results can be used to provide a rigorous security analysis for quantum key distribution protocols using entangled modes of light.