Bell's theorem proves that quantum theory is inconsistent with local physical models. It has
propelled research in the foundations of quantum theory and quantum information science …

The field of classical stochastic processes forms a major branch of mathematics. Stochastic
processes are, of course, also very well studied in biology, chemistry, ecology, geology …

We provide conceptual and mathematical foundations for near-term quantum natural
language processing (QNLP), and do so in quantum computer scientist friendly terms. We …

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 …

In a Bell experiment, it is natural to seek a causal account of correlations wherein only a
common cause acts on the outcomes. For this causal structure, Bell inequality violations can …

The standard definition of genuine multipartite entanglement stems from the need to assess
the quantum control over an ever-growing number of quantum systems. We argue that this …

Causal reasoning is essential to science, yet quantum theory challenges it. Quantum
correlations violating Bell inequalities defy satisfactory causal explanations within the …

Quantum computers promise dramatic advantages in processing speed over currently
available computer systems. Quantum computing offers great promise in a wide variety of …

Causality can be defined in terms of a space-time structure or based on information-theoretic
structures, which correspond to very different notions of causation. When analysing physical …

Existing work on quantum causal structure assumes that one can perform arbitrary
operations on the systems of interest. But this condition is often not met. Here, we extend the …