From Information Geometry to Quantum Theory
Quantum Physics
2010-02-14 v4
Abstract
In this paper, we show how information geometry, the natural geometry of discrete probability distributions, can be used to derive the quantum formalism. The derivation rests upon three elementary features of quantum phenomena, namely complementarity, measurement simulability, and global gauge invariance. When these features are appropriately formalized within an information geometric framework, and combined with a novel information-theoretic principle, the central features of the finite-dimensional quantum formalism can be reconstructed.
Cite
@article{arxiv.0805.2770,
title = {From Information Geometry to Quantum Theory},
author = {Philip Goyal},
journal= {arXiv preprint arXiv:0805.2770},
year = {2010}
}
Comments
v3: 5 pages. Minor clarifications throughout. v2: 5 pages; abstract shortened, introduction significantly improved, citations added