Year: 2026
Type: preprint
Abstract: This is the first of three papers that read the dividing lines of Shelah's classification theory as properties of bipartite quantum observables, through their expectation functions on product states. Here we study stability: the independence of the expectation from the order in which the preparations of the two systems are idealized. We show that stability is characterized by weak compactness, by factorization through a reflexive Banach space, and by the uniform simulation of idealized preparations by finite mixtures of actual ones. A uniform version of stability, which bounds at every margin the finite staircases of responses, governs adaptive discrimination and the online prediction of thresholded expectations; for the swap test, Hong--Ou--Mandel coincidences and discrete equality tests, it yields bounds independent of dimension.
Source: arXiv (Cornell University)
Authors: Dueñez, Eduardo, Iovino, José
Institution: The University of Texas at San Antonio
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221126124