Characterize general measurements and validate learning laws across hardware jobs

Characterize general quantum measurements beyond the fixed parity-detector model and test whether the entanglement-allocation learning laws persist across independent quantum-hardware jobs.

Background

The paper develops exact attainable contrast regions and sample-complexity laws for independent commuting CSS Pauli queries under a fixed coherence-preserving parity detector. Its theoretical results therefore do not cover arbitrary measurement interfaces. The empirical hardware study also uses a limited number of jobs on a single device, so it does not establish whether the predicted learning behavior is reproducible across independent hardware runs or devices.

The unresolved problem is to extend the analysis to general measurement instruments and to experimentally assess the stated learning laws under independent hardware acquisitions, thereby separating consequences of the abstract allocation model from device- and job-specific behavior.

References

We have yet to characterize general measurements or test the learning laws across independent hardware jobs.

— The Sample Complexity of Quantum Entanglement Allocation  (2609.10141 - Roll, 9 Sep 2026) in Section 1, Introduction; Section 8, Related work and implications

What remains open is whether that rate survives outside the Gaussian-linear environment, where ``one direction of the personal block'' has no clean meaning; we would expect the qualitative conclusion (targeted garbling dominates identity replacement, increasingly so in the dimension of identity) to be robust, and the constant not to be.

— Beyond Provenance: The Economics and Governance of Personalized AI Memory  (2609.25521 - Chen et al., 22 Sep 2026) in Section 10, Discussion and Limitations