Entanglement, space-time and the Mayer-Vietoris theorem
General Physics
2017-06-13 v2 High Energy Physics - Theory
Abstract
Entanglement appears to be a fundamental building block of quantum gravity leading to new principles underlying the nature of quantum space-time. One such principle is the ER-EPR duality. While supported by our present intuition, a proof is far from obvious. In this article I present a first step towards such a proof, originating in what is known to algebraic topologists as the Mayer-Vietoris theorem. The main result of this work is the re-interpretation of the various morphisms arising when the Mayer-Vietoris theorem is used to assemble a torus-like topology from more basic subspaces on the torus in terms of quantum information theory resulting in a quantum entangler gate (Hadamard and c-NOT).
Keywords
Cite
@article{arxiv.1703.09610,
title = {Entanglement, space-time and the Mayer-Vietoris theorem},
author = {Andrei T. Patrascu},
journal= {arXiv preprint arXiv:1703.09610},
year = {2017}
}