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.