Speaker
Description
One of the most profound insights of the Choi-Jamio lkowski isomorphism is that
quantum processes can be treated as quantum states. Following this idea, it is
natural to consider a kind of super-processes that transform quantum processes into
quantum processes, in a similar way as ordinary processes transform quantum states
into quantum states. This construction can be iterated recursively, generating an
infinite hierarchy of processes of increasingly higher orders. Physically, this hierarchy
corresponds to an extension of the framework of quantum circuits, including the
ordinary acyclic circuits considered in quantum computing, as well as a new type
of quantum circuits with cycles. In this talk I will present the main notions in the
study of higher order quantum processes, discussing their application to quantum
information and their connection with the study of causal structure in quantum
mechanics.
