Quantum axiomatics à la carte


Wilce, A. (2018). Quantum axiomatics à la carte. Perimeter Institute. https://pirsa.org/18070055


Wilce, Alexander. Quantum axiomatics à la carte. Perimeter Institute, Jul. 31, 2018, https://pirsa.org/18070055


          @misc{ pirsa_PIRSA:18070055,
            doi = {10.48660/18070055},
            url = {https://pirsa.org/18070055},
            author = {Wilce, Alexander},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Quantum axiomatics {\`a} la carte},
            publisher = {Perimeter Institute},
            year = {2018},
            month = {jul},
            note = {PIRSA:18070055 see, \url{https://pirsa.org}}

Alexander Wilce Susquehanna University


The past decade or so has produced a handful of derivations, or reconstructions, of finite-dimensional quantum mechanics from various packages of operational and/or information-theoretic principles. I will present a selection of these principles --- including symmetry postulates, dilational assumptions, and versions of Hardy's subspace axiom --- in a common framework, and indicate several ways, some familiar and some new, in which these can be combined to yield either standard complex QM (with or without SSRs) or broader theories embracing formally real Jordan algebras.