Multi-linear Representations For Quantum Characterization, Control, and Computation
"No taxation without multi-linear representation"
At a high-level, the schematic cartoon above outlines a grand vision to (3.1) use MLReps to put quantum states into the box that is your personal computer. And then to MLRep-tomograph quantum hardware (3.2). And to then use that for optimal control (3.3). And to then bound noise's impact on quantum algorithms (3.4). And to then compare quantum hardware's performance against (3.4) the FLOPs required to classically run the algorithm of interest.
If you made it through that, check the links and papers below!
https://journals.aps.org/prresearch/pdf/10.1103/jxq6-k9ky: Simulating density operators at scale
https://arxiv.org/abs/2509.16439: Follow on technical details to optimize the algorithm's latent potential
https://arxiv.org/abs/2508.19245: We invented a new family of quantum error correcting codes
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.96.062322: Everybody loves Shor's algorithm. Why not analyze its entanglement properties?
Click the publications tab for even more fun!
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