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Qubit exchange interactions from permutations of classical bits

Dipartimento di Fisica “Enrico Fermi”, Università di Pisa, Largo Pontecorvo 3, I-56127 Pisa, Italia

https://doi.org/10.1142/S021974991941003XCited by:3 (Source: Crossref)

This article is part of the issue:

Special Issue — Quantum 2019, From Foundations of Quantum Mechanics to Quantum Information and Quantum Metrology & Sensing
Guest Editors: A. Debortoli, M. D’Angelo, A. Garuccio, M. Genovese, P. Olivero and E. Predazzi

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 ’tHooft. Our result illustrates a new Baker–Campbell–Hausdorff (BCH) formula with terminating series expansion.

Keywords:

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