Unitary Schur Sampling of Qudits via Random SWAP Tests: Hunt for Antisymmetry
This research introduces Unitary Schur Sampling (USS) for mixed states of qudits using only pairwise SWAP tests instead of complex unitary transformations. The method samples probability distributions over Young diagrams by iteratively identifying and extracting the largest antisymmetric subsystem, offering a hardware-friendly approach to quantum state sampling.