Efficient Characterization of a Unitary Quantum Gate via a Projective Rabi Experiment
Bibliographic record
Abstract
In this thesis, we introduce a novel randomization-based protocol for estimation of parameters in a sparse Hamiltonian. This is achieved via a projective Rabi experiment which interleaves projective channels between applications of a fixed quantum channel of interest to allow for a coherent amplification of some small user selectable subspace. An important result that we prove is the efficiency and robustness of the protocol making it a suitable for experimental systems. Specifically, we prove it is Heisenberg-limited meaning the uncertainty in the output reaches the best case scaling with experimental time restricted only by the fundamental limit of quantum physics. For this thesis, we outline the abstract algorithm and demonstrate how to construct approximate projectors using the character projection formula. Then, we prove the efficiency and robustness of the protocol. Finally, we walk through an example of a multi-qudit rotation gate demonstrating the functionality of our methodology and run numerical simulations to validate our results.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.003 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.003 |
| Scholarly communication | 0.001 | 0.002 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.004 | 0.001 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".