Related papers: A non-Hermitian loop for a quantum measurement

A non-Hermitian loop for a quantum measurement

URL: http://arxiv.org/abs/2408.04629v1
Date: Thu, 8 Aug 2024 17:59:10 GMT
Title: A non-Hermitian loop for a quantum measurement
Authors: Luis E. F. Foa Torres, Stephan Roche,
Abstract summary: We establish a framework for a mechanism steering state vector collapse through time evolution. For two-level systems, we put forward the phenomenon of chiral state conversion as a mechanism effectively eliminating superpositions.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We establish a framework for a mechanism steering state vector collapse through time evolution as described by the Schr\"odinger's equation. Under the premise of a non-Hermitian Hamiltonian dynamics, a main outcome is 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 effectively eliminating superpositions. Our results open a way to simulate quantum measurements in classical systems that up to now were restricted to the Schr\"odinger part of the quantum dynamics.

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