Four questions for quantum-classical hybrid theory

Abstract

Four questions are discussed which may be addressed to any proposal of a quantum-classical hybrid theory which concerns the direct coupling of classical and quantum mechanical degrees of freedom. In particular, we consider the formulation of hybrid dynamics presented recently in Ref.[1]. This linear theory differs from the nonlinear ensemble theory of Hall and Reginatto, but shares with it to fulfil all consistency requirements discussed in the literature, while earlier attempts failed. - Here, we additionally ask: Does the theory allow for superposition, separable, and entangled states originating in the quantum mechanical sector? Does it allow for "Free Will", as introduced, in this context, by Diosi [2]. Is it local? Does it provide hints for the emergence of quantum mechanics from dynamics beneath?

16 pages - based on talk at the Conference on Emergent Quantum Mechanics / Heinz von Foerster Congress (Vienna University, Nov. 11-13, 2011)

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Cited by in corpus (13)

• Linear dynamics of quantum-classical hybrids
• Koopman wavefunctions and classical-quantum correlation dynamics
• The Quantum as an Emergent System
• Discrete mechanics, time machines and hybrid systems
• Quantum-classical hybrid dynamics - a summary
• Proliferation of observables and measurement in quantum-classical hybrids
• Mirror-induced decoherence in hybrid quantum-classical theory
• Classical-quantum limits
• Quantum F_un: the q=1 Limit of Galois Field Quantum Mechanics, Projective Geometry, and the Field with One Element
• Emergence from irreversibility
• Emergent quantum mechanics as a classical, irreversible thermodynamics
• Are Quantum-Classical Hybrids compatible with Ontological Cellular Automata?
• An illustration of canonical quantum-classical dynamics