English

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

R2 v1 2026-06-28T18:07:58.508Z