# Primary-source comparison, checked 16 October 2026

| Source | Established overlap | Exact claim to compare here |
|---|---|---|
| Hahn, Phys. Rev. 80, 580 (1950), 10.1103/PhysRev.80.580 | Spin echo and refocusing | Cancellation is not claimed new; the prediction witness and uncertainty optimum are the candidates |
| Norris, Paz-Silva, Viola, PRL 116,150503 (2016), 10.1103/PhysRevLett.116.150503 | Non-Gaussian spectral reconstruction | Restricted binary-prefix rank formula and explicit inverse |
| Sung et al., Nat. Commun. 10,3715 (2019), 10.1038/s41467-019-11699-4 | Experimental non-Gaussian spectroscopy | This release has no comparable hardware evidence |
| Ball and Biercuk, EPJ Quantum Technol. 2,11 (2015), 10.1140/epjqt/s40507-015-0022-4 | Walsh-based digital controls | Walsh transforms themselves are established |
| Chalermpusitarak et al., PRX Quantum 2,030315 (2021), 10.1103/PRXQuantum.2.030315 | Control-adapted frames, nonstationary reconstruction, model reduction | Fixed-amplitude chronological acquisition with exact pulse and scalar-setting counts |
| Dong, Paz-Silva, Viola, APL 122,244001 (2023), 10.1063/5.0153530 | Resource-efficient non-Gaussian digital control | Explicit exact finite-law uncertainty and pulse threshold |
| Dong, Wang, Khan, PRA 111,062605 (2025), 10.1103/PhysRevA.111.062605 | Control-induced spectral symmetries and learning complexity | Strong close precedent; compare theorem hypotheses rather than calling control-adapted non-Gaussian learning new |
| Steven et al., PRA 114,032606 (2026), 10.1103/121q-3ddh | Control-centric time-ordered polyspectra | Our commuting binary model is narrower; it is not an unrestricted quantum replacement |

The term "pulse-dark" here refers to a classical probability perturbation under a
restricted pulse budget. It is not the same object as a "dark spectrum" under the
broader control-tensor definitions in Dong, Wang, and Khan.

Standard Boolean Fourier analysis, linear-program duality, and Hoeffding bounds
are cited rather than renamed as new mathematics. The targeted search did not
establish historical priority for the precise binomial rank, local prefix inverse,
and sharp staircase combination. Expert review remains necessary. There is no
claimed endorsement by any cited author.