The Piecewise Deterministic Process Associated to EEQT

TL;DR

This paper introduces a probabilistic construction of a piecewise deterministic process in EEQT, enabling simulation of quantum systems coupled with classical measuring devices and generating real-time pointer readings.

Contribution

It presents a novel probabilistic framework for the piecewise deterministic process in EEQT, linking quantum dynamics with classical measurement outcomes.

Findings

Provides a unique algorithm for generating quantum measurement time series.

Enables simulation of individual quantum system histories in real experiments.

Bridges quantum dynamics with classical measurement processes.

Abstract

In the framework of Event Enhanced Quantum Theory (EEQT) a probabilistic construction of the piecewise deterministic process associated with a dynamical semigroup is presented. The process generates sample histories of individual systems quantums systems continuously coupled to classical measuring devices; it gives a unique algorithm generating time series of pointer readings in real experiments with quantum systems.