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Generation of a maximally entangled state using collective optical pumping

verification/C047/attempts/R002/claim_report.md

C047 - Fig. (convergence): the singlet error after 50 cycles versus protocol parameters, with co...

Verdict: partial Location: Supp. Mat. S1, Fig. Type / expected artifact: plot / figure (convergence.pdf) Claim: Fig. (convergence): the singlet error after 50 cycles versus protocol parameters, with convergence slow-down near Phi=m pi/2, gamma=m pi/2, and theta=m pi (population trapping). Models: extraction claude-opus-4-8; verification gpt-5; verification_chain claude-opus-4-8 -> gpt-5; verdict_chain partial -> partial. Limitations: visual_match_only, paper_text_only_reimplementation. Source location(s): source/supp_content.tex:37-41 (Fig. convergence).

Conclusion

Simulated 50 cycles from |down,down> with the self-contained model and reproduced singlet error vs Phi, gamma, theta (panel a) and vs theta for 15/40/65 cycles (panel b). Reproduced slow-down features: error->1 at Phi=pi/2 and gamma=pi/2 (90 deg) and high error at theta=0/pi endpoints (m pi population trapping); theta minimum near 3pi/4. Matches paper qualitatively. Theory-reproducible plot; Tier-A visual match only -> caps at partial.

Verification details

Executable rerun: run.py exited 0 in 1.307s; log verification/C047/attempts/R002/run.log.

Output excerpt:

theta error local maxima (deg): [] expect near 0,180 (theta=m pi)
Phi   error local maxima (deg): [90] expect near 0,90,180 (Phi=m pi/2)
gamma error local maxima (deg): [90] expect near 0,90,180 (gamma=m pi/2)
theta=pi/4? no: minimum-error theta = 127 deg (expect ~135 = 3pi/4)
error@theta=180deg(pi) = 0.5; error@theta=0 = 0.667
error@Phi=90deg(pi/2) = 1; error@gamma=90deg(pi/2) = 1
min error per cycle count: {15: '1.33e-01', 40: '5.61e-03', 65: '2.37e-04'}
wrote figure.png

Plot evidence: C047 paper figure C047 reproduced or diagnostic figure

Visual comparison notes: - Panel a: reproduced singlet error after 50 cycles (from |down,down>) vs each of theta, Phi, gamma (others fixed at Phi=pi/4, gamma=pi/4, theta=3pi/4) on a log scale matches the paper: theta curve has a single broad minimum near ~130 deg (3pi/4); Phi and gamma curves show the characteristic double-dip with a sharp slow-down peak (error ~1) at 90 deg (m pi/2) and high error at the 0/180 deg endpoints. - Confirms the paper's slow-down features: Phi=m pi/2 (low dd->ee transfer), gamma=m pi/2 (uneven branching), theta=m pi (population trapping) all give high error. - Panel b: reproduced error-vs-theta for increasing cycle counts (15/40/65) deepens the minimum near ~130 deg with the same monotone ordering as the paper. - Minor cosmetic difference: the Phi/gamma trace colors are swapped relative to the paper legend, but curve shapes and feature locations match.

Supporting files