Eigenbasis Transfer

A large healthy eigengap makes leading eigenvector rotation harder unless perturbation is also large. A flat healthy spectrum can make the healthy eigenbasis unstable as a reference frame. Eigenbasis transfer should be assessed using princ…

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A large healthy eigengap makes leading eigenvector rotation harder unless perturbation is also large. A flat healthy spectrum can make the healthy eigenbasis unstable as a reference frame. Eigenbasis transfer should be assessed using principal angles and spectral-norm comparisons between Hamiltonians. Principal-angle analysis is proposed to quantify whether a learned eigenbasis transfers across cohorts.