Unitary designs from perturbed time evolutions of a chaotic Hamiltonian
Source: Originally published on arXiv quant-ph on July 29, 2026.
arXiv:2607.24851v1 Announce Type: new Abstract: Unitary designs provide efficient substitutes for Haar-random unitaries in quantum information processing, randomized measurements, and many-body quantum dynamics. We propose a protocol based on time evolutions of a single chaotic Hamiltonian with intermediate unitary perturbations to generate unitary designs. We derive the frame potential of the resulting ensemble which relies on the frame potentials of the intermediate ensemble. The intermediate ensemble need not itself be Haar random or a unitary design even approximately; it is sufficient that its frame-potential growth remains well suppressed relative to the maximal possible scaling. The nontrivial Pauli set and the Clifford ensemble are simple examples satisfying this criterion, while f...
To read the full article, visit the original source page: