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- John C. Baez, Tobias Fritz, Tom Leinster
- Entropy
- 2011

There are numerous characterizations of Shannon entropy and Tsallis entropy as measures of information obeying certain properties. Using work by Faddeev and Furuichi, we derive a very simpleâ€¦ (More)

- John C. Baez, Tobias Fritz
- ArXiv
- 2014

We give a new characterization of relative entropy, also known as the Kullbackâ€“Leibler divergence. We use a number of interesting categories related to probability theory. In particular, we considerâ€¦ (More)

- Tobias Fritz, Rafael Chaves
- IEEE Transactions on Information Theory
- 2013

A marginal problem asks whether a given family of marginal distributions for some set of random variables arises from some joint distribution of these variables. Here, we point out that the existenceâ€¦ (More)

The problem of causal inference is to determine if a given probability distribution on observed variables is compatible with some causal structure. The difficult case is when the causal structureâ€¦ (More)

- Tobias Fritz
- 2012

Bellâ€™s theorem witnesses that the predictions of quantum theory cannot be reproduced by theories of local hidden variables in which observers can choose their measurements independently of theâ€¦ (More)

- Bob Coecke, Tobias Fritz, Robert W. Spekkens
- Inf. Comput.
- 2016

In many different fields of science, it is useful to characterize physical states and processes as resources. Chemistry, thermodynamics, Shannonâ€™s theory of communication channels, and the theory ofâ€¦ (More)

We propose an abstract definition of convex spaces as sets where one can take convex combinations in a consistent way. A priori, a convex space is an algebra over a finitary version of the Giryâ€¦ (More)

- Carlo Sparaciari, Jonathan Oppenheim, Tobias Fritz
- ArXiv
- 2016

Several recent results in the field of quantum thermodynamics have been obtained using the tools of quantum information theory and resource theories. So far, the resource theories utilised toâ€¦ (More)

- Tobias Fritz, Paolo Perrone
- ArXiv
- 2017

We define a monad on the category of complete metric spaces with short maps, which assigns to each space the space of Radon probability measures on it with finite first moment, equipped with theâ€¦ (More)

- Benedikt Johannes Braun, JÃ¶rg Holstein, +4 authors Tim Pohlemann
- EFORT open reviews
- 2016

Although the field of geriatric trauma is - ironically - young, care for the elderly trauma patient is increasingly recognised as an important challenge, considering the worldwide trend towardsâ€¦ (More)