General quantum-classical dynamics as measurement based feedback

• URL: http://arxiv.org/abs/2403.19748v3
• Date: Tue, 6 Aug 2024 09:13:53 GMT
• Title: General quantum-classical dynamics as measurement based feedback
• Authors: Antoine Tilloy,
• Abstract summary: This note derives the differential equations and partial differential equation of general hybrid quantum--classical dynamics from the theory of continuous measurement and general (non-Markovian) feedback.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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