From Information Geometry to Quantum Theory

Details From Information Geometry to Quantum Theory From Information Geometry to Quantum Theory

2008-05-19

arxiv.org/abs/0805.2770v4

New J. Phys. 12 023012 (2010)

Physics

Quantum Physics

v3: 5 pages. Minor clarifications throughout. v2: 5 pages; abstract shortened, introduction significantly improved, citations

Scientific paper

10.1088/1367-2630/12/2/023012

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.

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