Bell's Theorem and Bayesian Networks


Fritz, T. (2012). Bell's Theorem and Bayesian Networks. Perimeter Institute. https://pirsa.org/12020134


Fritz, Tobias. Bell's Theorem and Bayesian Networks. Perimeter Institute, Feb. 07, 2012, https://pirsa.org/12020134


          @misc{ pirsa_12020134,
            doi = {10.48660/12020134},
            url = {https://pirsa.org/12020134},
            author = {Fritz, Tobias},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Bell{\textquoteright}s Theorem and Bayesian Networks},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {feb},
            note = {PIRSA:12020134 see, \url{https://pirsa.org}}

Tobias Fritz Universität Innsbruck


The standard approach to quantum nonlocality (Bell's Theorem) relies on the assumption of the existence of "free will". I will explain how to get rid of this mysterious assumption in favor of the independence of sources. From this new point of view, Bell's Theorem becomes a statement about Bayesian networks. Besides allowing a more intuitive formulation of the standard result, our formalism also provides new network topologies giving rise to new kinds of nonlocality. Some of these relate to results by Steudel and Ay on the statistical inference of causal relations. Witnessing quantum nonlocality in new network topologies is a challenge which I will pose as an open problem.