Back to Search
Start Over
Are Quantum-Classical Hybrids compatible with Ontological Cellular Automata?
- Source :
- Universe; Volume 8; Issue 4; Pages: 207
- Publication Year :
- 2022
- Publisher :
- arXiv, 2022.
-
Abstract
- Based on the concept of ontological states and their dynamical evolution by permutations, as assumed in the Cellular Automaton Interpretation (CAI) of quantum mechanics, we address the issue whether quantum-classical hybrids can be described consistently in this framework. We consider chains of 'classical' two-state Ising spins and their discrete deterministic dynamics as an ontological model with an unitary evolution operator generated by pair exchange interactions. A simple error mechanism is identified, which turns them into quantum mechanical objects, chains of qubits. Consequently, an interaction between a quantum mechanical and a 'classical' chain can be introduced and its consequences for this quantum-classical hybrid be studied. We find that such hybrid character of composites, generally, does not persist under interactions and, therefore, cannot be upheld consistently, or even as a fundamental notion as in Kopenhagen interpretation, within CAI.<br />Comment: 13 pages, 3 figures; prepared and accepted for publication in Universe
- Subjects :
- Quantum Physics
quantum-classical hybrid system
cellular automaton
ising spin
qubit
ontological state
Baker–Campbell–Hausdorff formula
quantum mechanics
Cellular Automata and Lattice Gases (nlin.CG)
General Physics and Astronomy
FOS: Physical sciences
Mathematical Physics (math-ph)
Quantum Physics (quant-ph)
Nonlinear Sciences - Cellular Automata and Lattice Gases
Mathematical Physics
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- Universe; Volume 8; Issue 4; Pages: 207
- Accession number :
- edsair.doi.dedup.....4c2489d11a84c4fb629c818f24794e93
- Full Text :
- https://doi.org/10.48550/arxiv.2203.13703