For various tasks in quantum information theory, such as the detection of resources like entanglement, an independent repetition of the same measurement procedure or protocol is commonplace. At Quriosity, we go beyond this scheme and investigate advantages of constructing sequential protocols, i.e., protocols where there is an interdependence between different rounds. This can reduce the number of rounds needed to detect quantum resources, such as for instance entangled states, and lead to other quantum advantages that we currently explore.
Associated PIs: Mirjam Weilenmann
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Convex optimization theory has become an indispensable tool for quantum information science. Owing to the convexity of the sets of quantum states, channels and measurements; linear, semidefinite and conic optimization problems arise naturally within the study of quantum information processing. Beyond this, convex relaxation hierarchies emerging from polynomial optimization problems, e.g. sum-of-square hierarchies, allow us to push further the problems we can study. At Quriosity we explore how the theory of convex and polynomial optimization can be applied to quantum information theory and further develop the theory to open up new applications.
Associated PIs: Peter Brown, Mirjam Weilenmann
Relevant works:
Associated PIs: Marco Fanizza