Multi-linear Representations For Quantum Characterization, Control, and Computation
"No taxation without multi-linear representation"
It is too cumbersome to write out, or read, the words required to accurately describe this project. Instead, take a look at the schematic cartoon above. It describes how to use MLReps to put quantum states into the box that is your personal computer. And then to tomograph them. And then to do optimal control theory. And then to bound noise's impact on quantum algorithms. And then to relate all that with the required classical FLOPs to run the algorithm of interest.
If you made it through that, check the links and papers below for the, frankly awesome, mathematical details.