research
A Coordinate Change Removed Bootstrapping From Encrypted Quantum Training
Unit quaternions turned rotation updates into depth-one bilinear operations.
Summary
Unit quaternions turned rotation updates into depth-one bilinear operations.
The protocol expresses quantum-circuit rotations in a unit-quaternion chart, making composition bilinear and federated averaging free of multiplicative depth in leveled homomorphic schemes. Tests across two cryptographic backends report negligible aggregation error and a 20-client study found no measurable utility loss. A 156-qubit hardware run reached 0.9918 fidelity against a 0.99957 unencrypted control; the claims apply to the encoded update class and experimental setup.
Why it matters
Unit quaternions turned rotation updates into depth-one bilinear operations.
Limits and context
No additional limitation was separately recorded.
Key claims
Unit quaternions turned rotation updates into depth-one bilinear operations.
Evidence: source-2026-09-28-019
Sources
- arXiv preprint 2609.30581arXiv · primary research
Corrections
No corrections have been recorded for this story.