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Gleason-Type Theorems from Cauchy’s Functional Equation

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JournalFoundations of Physics
DateAccepted/In press - 29 May 2019
DateE-pub ahead of print (current) - 4 Jun 2019
Number of pages13
Early online date4/06/19
Original languageEnglish

Abstract

Gleason-type theorems derive the density operator and the Born rule formalism of quantum theory from the measurement postulate, by considering additive functions which assign probabilities to measurement
outcomes. Additivity is also the defining property of solutions to Cauchy’s functional equation. This observation suggests an alternative proof of the strongest known Gleason-type theorem, based on techniques used to solve functional equations.

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© The Author(s) 2019

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