Quantum Mechanics with Real Numbers: Entanglement, Superselection Rules and Gauges

We show how imaginary numbers in quantum physics can be eliminated by enlarging the Hilbert space followed by an imposition of—what effectively amounts to—a superselection rule. We illustrate this procedure with a qubit and apply it to the Mach–Zehnder interferometer. The procedure is somewhat remin...

Full description

Bibliographic Details
Main Author: Vlatko Vedral
Format: Article
Language:English
Published: Quanta 2023-09-01
Series:Quanta
Online Access:http://quanta.ws/ojs/index.php/quanta/article/view/241