Lucien Hardy (Perimeter Institute, Canada):
Operational Computing with Quantum Stuff

Imagine we have a supply of stuff that, we suppose, has quantum properties that are not well known. Consider a computational scheme in which we attach inputs and outputs to this stuff to assist a classical computation. In this paper I consider how we might go about operationally characterizing the stuff to enable effective quantum computation. To do this I will present a general formalism for studying arbitrary fragments of circuits for general probabilistic causal theories. This formalism then provides the backbone for a procedure to characterizing the stuff to a sufficient extent that we may be able to use it to do quantum computing if the stuff has the appropriate properties.