A non-Hermitian loop for a quantum measurement
Quantum Physics
2025-05-30 v2 Other Condensed Matter
Abstract
Here we present a non-Hermitian framework for modeling state-vector collapse under unified dynamics described by Schr\"odinger's equation. Under the premise of non-Hermitian Hamiltonian dynamics, we argue that collapse has to occur when the Hamiltonian completes a closed loop in the parameter space encoding the interaction with the meter. For two-level systems, we put forward the phenomenon of chiral state conversion as a mechanism for effectively eliminating superpositions. This perspective opens a way to simulate quantum measurements in classical systems that up to now were restricted to the Schr\"odinger part of the quantum dynamics.
Keywords
Cite
@article{arxiv.2408.04629,
title = {A non-Hermitian loop for a quantum measurement},
author = {Luis E. F. Foa Torres and Stephan Roche},
journal= {arXiv preprint arXiv:2408.04629},
year = {2025}
}
Comments
8 pages, 1 figure