From Information Geometry to Quantum Theory

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.

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

References in corpus (1)

• Characterizing quantum theory in terms of information-theoretic constraints

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