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In (quantum) information theory and statistics it is very useful to know inference relations between random variables. These relations are generally difficult to find from the data of the random variables, for example because there are random variables that cannot be observed. However, in the relatively new study of causal inference through causal structures, we aim to find such inference relations. Causal structures are Directed Acyclic Graphs that depict correlations and causation between random variables. By analysing the entropy inequalities that are implied by such a structure, one can exclude certain causal relations by comparing the given data to the inequalities. In this talk, I will introduce a non-standard entropy inequality, known as a Zhang-Yeung inequality. We will see that there also exists a partially quantum version of this inequality. I will explain the effects of this inequality, or rather its unexpected lack thereof, on certain quantum causal structures. To conclude, I will pose a question that is still unanswered and for which I'm open to new ideas.

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Laurens Ligthart
Online via Zoom
Contact: David Gross