Investigation of quantum contextuality in a harmonic oscillator using an NMR quantum simulator
Bibliographic record
Abstract
Often physical potentials are approximated to a harmonic potential so as to analytically solve the system dynamics. For example, the quantized electromagnetic field used to manipulate a qubit in cavity quantum electrodynamics, can be described using quantum harmonic oscillator (QHO). Hence it is important to know when a QHO behaves quantum mechanically and when classically. In this work, we encode the four lower-most eigenstates of the one dimensional-QHO(1D-QHO) onto the four Zeeman product states of a pair of spin-1/2 nuclei. Using the techniques of nuclear magnetic resonance (NMR) quantum information processing (QIP), we then demonstrate the strong violation of noncontextual hidden variable (NCHV) inequality, under specific experimental arrangements. We also experimentally investigate the weak violation of NCHV inequality by thermal equilibrium states in nuclear spins, thereby assessing their quantumness.
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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 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 0.000 |
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".