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Today’s Journal Club talk will introduce the basic quantum electrodynamics of the circuit QED architecture for quantum computers and discuss the gates and measurements that are available in hybrid superconducting qubit-bosonic mode (microwave resonator) systems. I will illustrate these capabilities with a recent experiment that used boson sampling to accurately model the Franck-Condon vibrational sidebands in the photoemission spectra of small molecules. Time permitting, I will also discuss what the future may hold in terms of our ability to execute quantum simulations of many-body models of strongly-interacting bosons such as the fractional quantum Hall effect for microwave photons.