General quantum-classical dynamics as measurement based feedback
Antoine Tilloy
SciPost Phys. 17, 083 (2024) · published 18 September 2024
- doi: 10.21468/SciPostPhys.17.3.083
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Abstract
This note derives the stochastic differential equations and partial differential equation of general hybrid quantum--classical dynamics from the theory of continuous measurement and general (non-Markovian) feedback. The advantage of this approach is an explicit parameterization, without additional positivity constraints. The construction also neatly separates the different effects: how the quantum influences the classical and how the classical influences the quantum. This modular presentation gives a better intuition of what to expect from hybrid dynamics, especially when used to construct possibly fundamental theories.
Cited by 2
Author / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 3 4 Antoine Tilloy
- 1 Centre National de la Recherche Scientifique / French National Centre for Scientific Research [CNRS]
- 2 Laboratoire de Physique de l’École Normale Supérieure / Physics Laboratory of the École Normale Supérieure [LPENS]
- 3 Université de recherche Paris Sciences et Lettres / PSL Research University [PSL]
- 4 Institut national de recherche en informatique et en automatique / French Institute for Research in Computer Science and Automation [INRIA]
Funder for the research work leading to this publication