From information geometry to quantum theory

Details From information geometry to quantum theory From information geometry to quantum theory

Feb 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010njph...12b3012g&link_type=abstract

New Journal of Physics, Volume 12, Issue 2, pp. 023012 (2010).

Physics

2

Scientific paper

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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