PIRSA:06060063

Quantum Causal Networks

Leifer, M. (2006). Quantum Causal Networks. Perimeter Institute. https://pirsa.org/06060063

Leifer, Matthew. Quantum Causal Networks. Perimeter Institute, Jun. 28, 2006, https://pirsa.org/06060063 

          @misc{ pirsa_PIRSA:06060063,
            doi = {10.48660/06060063},
            url = {https://pirsa.org/06060063},
            author = {Leifer, Matthew},
            keywords = {Quantum Information, Quantum Foundations},
            language = {en},
            title = {Quantum Causal Networks},
            publisher = {Perimeter Institute},
            year = {2006},
            month = {jun},
            note = {PIRSA:06060063 see, \url{https://pirsa.org}}
          }

Matthew Leifer Chapman University

DOI 10.48660/06060063
Collection
Talk Type Scientific Series
Subject

Abstract

In this talk, I will outline a quantum generalization of causal networks that are used to analyze complex probabilistic inference problems involving large numbers of correlated random variables. I will review the framework of classical causal networks and the graph theoretical constructions that are abstracted from them, including entailed conditional independence, d-separation and Markov equivalence. I will show how to generalize the definition of causal networks to the quantum case, such that the same graph theoretic constructions apply, and give an explicit representation of the states supported on the graph as the Gibbs states of certain classes of Hamiltonians.