Joint optimization of the probing schedule under frequency uncertainty and dissipation

Optimize the probing-time schedule jointly against the calibrated or worst-case noisy dynamics, including the thermal-relaxation dynamics with bounded frequency uncertainty, to determine whether and by how much the certifiable regions can be widened.

Background

The protocol fixes the three probing times at t_k = kT_0/3, inherited from the noiseless harmonic-oscillator protocol. In the presence of dissipation and uncertainty in the actual precession frequency, the valid classical and Wigner-positivity thresholds must instead account for the admissible noisy dynamics, including the worst case over the frequency uncertainty interval.

The paper explicitly identifies the probing schedule as an unused degree of freedom and leaves open its joint optimization against the calibrated or worst-case noisy dynamics. Such an optimization is motivated by the expectation that adapting the measurement times could enlarge the certifiable regions for nonclassicality and Wigner negativity.

References

The probing time is a degree of freedom we do not exploit in this paper; we only consider the times $t_k = kT_0/3$ inherited from the noiseless protocol. Optimizing the schedule jointly against the calibrated or worst-case noisy dynamics can only widen the certifiable regions reported here, and we leave it open.

— Dynamics-based nonclassicality witness under dissipative dynamics  (2608.27337 - Huynh et al., 27 Aug 2026) in Appendix, Section “Robustness of the protocol under miscalibrated frequency”

How probe exposure, noise and observation time affect safe-restoration probability under fixed horizon and failure allowance remains open.

— Restorative Control and the Limits of Safe Model Discrimination  (2610.09442 - Myers, 7 Oct 2026) in Section 5, Discussion

Systematic study of whether scheduled mixed-criticality noise can be designed as a soft mitigant, without harming perception deadlines, complements OEM policies that close telemetry at the source.

— Can Autonomous Vehicles Keep Their Cool? A Survey of Thermal Side-Channel and Perception Attacks  (2610.21034 - Aaryan et al., 15 Oct 2026) in Section 6, subsection “Open Problems,” item “Contention as a defensive signal”