We illustrate the mathematical theory of entropy production in repeated quantum measurement processes developed in a previous work by studying examples of quantum …
We derive new concentration bounds for time averages of measurement outcomes in quantum Markov processes. This generalizes well-known bounds for classical Markov …
We show that quantum trajectories become exponentially fast supported by one of their minimal invariant subspaces. The exponential convergence is established in expectation by …
The phenomenon that a quantum particle propagating in a detector, such as a Wilson cloud chamber, leaves a track close to a classical trajectory is analyzed. We introduce an idealized …
The appearance of tracks, close to classical orbits, left by charged quantum particles propagating inside a detector, such as a cavity periodically illuminated by light pulses, is …
The quantum theory of indirect measurements in physical systems is studied. The example of an indirect measurement of an observable represented by a self-adjoint operator NN with …
Y Borns-Weil, I Oltman - Annales Henri Poincaré, 2024 - Springer
We study the trajectories of a semiclassical quantum particle under repeated indirect measurement by Kraus operators, in the setting of the quantized torus. In between …
M Bauer, D Bernard, T Jin - SciPost Physics, 2018 - scipost.org
We revisit aspects of monitoring observables with continuous spectrum in a quantum system subject to dissipative (Lindbladian) or conservative (Hamiltonian) evolutions. After recalling …
The quantized torus is a finite-dimensional Hilbert space that represents quantum mechanics with periodic phase space. The space can act as a toy model for many quantum …