Speaker
Description
Quantum maps are central objects that allow the manipulation of quantum states and resources. However, not all maps are created equal, and some may be more valuable than others in performing certain resource conversions. For this reason, transforming a quantum map into another, possibly more desirable one, becomes a relevant and crucial task in quantum information processing. Such a transformation is achieved by the so-called quantum supermaps. However, there is no reason to stop at this level, and one could conceive super-supermaps that transform quantum supermaps into quantum supermaps, and so on. This construction leads to an infinite ladder of higher-order quantum maps. This talk will present an attempt to build a systematic and unified formalism to describe all such higher-order quantum maps at any level of their hierarchy, with the ultimate goal of studying their information-theoretic capabilities and physical implications on the issue of quantum causality.
