Qubit exchange interactions from permutations of classical bits
arXiv:2001.10907 · doi:10.1142/S021974991941003X
Abstract
In order to prepare for the introduction of dynamical many-body and, eventually, field theoretical models, we show here that quantum mechanical exchange interactions in a three-spin chain can emerge from the deterministic dynamics of three classical Ising spins. States of the latter form an ontological basis, which will be discussed with reference to the ontology proposed in the Cellular Automaton Interpretation of Quantum Mechanics by 't Hooft. Our result illustrates a new Baker-Campbell-Hausdorff formula with terminating series expansion.
arXiv comment14 pages; accepted and to appear in Int. J. Qu. Info. (IJQI)
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Cited by in corpus (4)
- Fast Vacuum Fluctuations and the Emergence of Quantum Mechanics
- Are quantum spins but small perturbations of ontological Ising spins?
- Are Quantum-Classical Hybrids compatible with Ontological Cellular Automata?
- Does Quantum Mechanics Breed Larger, More Intricate Quantum Theories? The Case for Experience-Centric Quantum Theory and the Interactome of Quantum Theories