Qubit exchange interactions from permutations of classical bits
Quantum Physics
2020-04-16 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2001.10907,
title = {Qubit exchange interactions from permutations of classical bits},
author = {Hans-Thomas Elze},
journal= {arXiv preprint arXiv:2001.10907},
year = {2020}
}
Comments
14 pages; accepted and to appear in Int. J. Qu. Info. (IJQI)