Four and a Half Axioms for Quantum Mechanics
APA
Wilce, A. (2009). Four and a Half Axioms for Quantum Mechanics. Perimeter Institute. https://pirsa.org/09080015
MLA
Wilce, Alexander. Four and a Half Axioms for Quantum Mechanics. Perimeter Institute, Aug. 13, 2009, https://pirsa.org/09080015
BibTex
@misc{ pirsa_PIRSA:09080015, doi = {10.48660/09080015}, url = {https://pirsa.org/09080015}, author = {Wilce, Alexander}, keywords = {Quantum Foundations}, language = {en}, title = {Four and a Half Axioms for Quantum Mechanics}, publisher = {Perimeter Institute}, year = {2009}, month = {aug}, note = {PIRSA:09080015 see, \url{https://pirsa.org}} }
Susquehanna University
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Abstract
I will discuss a set of strong, but probabilistically intelligible, axioms from which one can {\em almost} derive the appratus of finite dimensional quantum theory. These require that systems appear completely classical as restricted to a single measurement, that different measurements, and likewise different pure states, be equivalent up to the action of a compact group of symmetries, and that every state be the marginal of a bipartite state perfectly correlating two measurements. This much yields a mathematical representation of measurements, states and symmetries that is already very suggestive of quantum mechanics. One final postulate (a simple minimization principle, still in need of a clear interpretation) forces the theory's state space to be that of a formally real Jordan algebra