Hi everyone,
I wanted to share a preprint describing several representation-aware ideas for quantum computation. Some of you here might find it interesting.
Very briefly, the manuscript includes:
— χ-aware control: moving deterministic phase drift out of brute-force optimization and into the control/frame layer;
— ψ-preconditioning: an exact operator rewrite that may be useful for solver-type quantum pipelines;
— low-band / projector-native methods: working with the physically relevant low-spectral subspace rather than the full state space;
— J-transport / intertwiner-based reduction: transporting low-band structure between equivalent carriers;
— topology- and holonomy-aware classification / filtering ideas for more structured quantum tasks.
So this is not just one isolated algorithm, but more of a stack of algorithmic directions: control, operator rewriting, spectral reduction, transport, and structured classification.
The preprint is available on Zenodo:
I’d be glad to hear any thoughts or feedback.