Conditional probability, three-slit experiments, and the Jordan algebra structure of quantum mechanics

DOI10.1155/2012/156573zbMath1267.81021arXiv0912.0203OpenAlexW2078449423WikidataQ27495958 ScholiaQ27495958MaRDI QIDQ1942170

Gerd Niestegge

Publication date: 18 March 2013

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0203

zbMATH Keywords

observableprojectionorthomodular posetorthomodular latticestateconditional probabilityinterferenceeffect algebraJordan algebraorthoalgebraJBW algebrathree-slit experiment

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Noncommutative Jordan algebras (17A15)

Related Items (10)

Three-slit experiments and quantum nonlocality ⋮ Quantum teleportation and Grover's algorithm without the wavefunction ⋮ A generalized quantum theory ⋮ A simple and quantum-mechanically motivated characterization of the formally real Jordan algebras ⋮ Local tomography and the role of the complex numbers in quantum mechanics ⋮ Higher-order interference and single-system postulates characterizing quantum theory ⋮ Generalised phase kick-back: the structure of computational algorithms from physical principles ⋮ Deriving Grover's lower bound from simple physical principles ⋮ Dynamical correspondence in a generalized quantum theory ⋮ A computer scientist’s reconstruction of quantum theory*

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