On the interpretation of quantum probability theory

FEDERICO HOLIK

Workshop; VIII International Workshop on Quantum Mechanics and Quantum Information: Quantum Theory and Reality; 2022

In this talk we explain in which sense quantum theory defines a non-Kolmogorovian probability calculus [1,2,3], putting the focus on its geometrical aspects [4,5,6]. We discuss different strategies developed to interpret quantum states in connection to the psi-ontic vs psi-epistemic debate. Finally, we present some reflections on the status of scientific realism in relation to quantum physics, analyzing the problem of metaphysical underdetermination.[1] F. Holik, M. Sáenz and A. Plastino. A discusion on the origin of quantum probabilities, Annals of Physics 340 (1), 293-310.[2] F. Holik, S. Fortin, G. Bosyk, A. Plastino. On the Interpretation of Probabilities in Generalized Probabilistic Models. In: de Barros J., Coecke B., Pothos E. (eds) Quantum Interaction. QI 2016. Lecture Notes in Computer Science, vol 10106. Springer, Cham (2017). [3] F. Holik, G.M. Bosyk, G. Bellomo. Quantum information as a non-Kolmogorovian generalization of Shannon’s theory, Entropy 17 (11), 7349-7373 (2015).[4] F. Holik, Logic, geometry and probability theory, SOP Transactions On Theoretical Physics Vol. 1, Num. 2, (2014). arXiv:1312.0023.[5] F. Holik. On the Connection Between Quantum Probability and Geometry, Quanta, 10(1), 1-14 (2021). doi:https://doi.org/10.12743/quanta.v10i1.148[6] C Massri, F Holik and A. Plastino. States in generalized probabilistic models: an approach based in algebraic geometry, Mathematica Slovaca 69 (1), 53-70 (2019).