How Interference Effects in Mixtures Determine the Rules of Quantum Mechanics

Details How Interference Effects in Mixtures Determine the Rules of Quantum Mechanics How Interference Effects in Mixtures Determine the Rules of Quantum Mechanics

1994-05-09

arxiv.org/abs/hep-th/9405042v1

Physics

High Energy Physics

High Energy Physics - Theory

27 pages of text in harvmac plus six figures appended to the end of the file

Scientific paper

10.1103/PhysRevA.50.2108

It is shown that elementary indistinguishability properties of partially polarized mixtures are consistent only with the conventional Hilbert space model of quantum mechanics and a few exotic alternatives. This applies even in low dimensions where quantum logic and Gleason's theorem give either weak or no constraints. Experimental methods for eliminating the exotic cases (which include quaternionic and octonionic variants of quantum mechanics) are described.

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