Abstract: Progress in microfabrication has allowed fabrication of highly
tuneable semiconductor-superconductor heterostructures yielding new
platforms to both create and manipulate subgap states. Such bound
states, isolated in energy by the superconducting gap, are important
building blocks for many schemes of quantum computation. In this talk I
will present how bound states arise in Quantum Dot-Superconductor
systems, how we can model them and what we can learn from transport
measurements. Finally, I will address the complexity in experiments with
double quantum dots and the physics it allows us to probe.