General quantum-classical dynamics as measurement based feedback

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.

14 + 6 pages

References in corpus (13)

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Cited by in corpus (11)

• The Diósi-Penrose model of classical gravity predicts gravitationally induced entanglement
• The classical-quantum hybrid canonical dynamics and its difficulties with special and general relativity
• Markovian dynamics for a quantum/classical system and quantum trajectories
• Entanglement in Markovian hybrid classical-quantum theories of gravity
• Exploring the Effects of Mass Dependence in Spontaneous Collapse Models
• Hybrid Classical-Quantum Newtonian Gravity with stable vacuum
• Can gravity mediate the transmission of quantum information?
• Restoring the second law to classical-quantum dynamics
• Probing the nonclassical dynamics of a quantum particle in a gravitational field
• A healthier stochastic semiclassical gravity: world without Schrödinger cats
• Diffusion Minimization via Optimal Smearing in Collapse and Hybrid Classical-Quantum Gravitational Models