Propagation of initial uncertainties to Arthurs-Kelly inequality
Quantum Physics
2025-02-18 v2 High Energy Physics - Theory
Abstract
The generalized version of the Arthurs-Kelly inequality is derived when the initial state is a tripartite separable state. When each initial substate obeys the minimal uncertainty, the generalized version reduces to the well-known inequality, i.e. twice of the Heisenberg uncertainty. If the initial probe state is entangled, it is shown that the generalized version of the Arthurs-Kelly inequality can be violated. We show the violation explicitly by introducing a special example.
Keywords
Cite
@article{arxiv.2403.17429,
title = {Propagation of initial uncertainties to Arthurs-Kelly inequality},
author = {Mi-Ra Hwang and Eylee Jung and DaeKil Park},
journal= {arXiv preprint arXiv:2403.17429},
year = {2025}
}
Comments
14 pages, 2 figures V2: 16 pages, 2 figures, will appear in QIP