Quantum supermaps are transformations that map quantum operations to quantum
operations. It is known that quantum supermaps which respect a definite, predefined causal …

This paper is a 'spiritual child'of the 2005 lecture notes Kindergarten Quantum Mechanics
Coecke (2005)[24], which showed how a simple, pictorial extension of Dirac notation …

We argue that the quantum-theoretical structures studied in several recent lines of research
cannot be adequately described within the standard framework of quantum circuits. This is in …

We introduce a novel compositional description of Feynman diagrams, with well-defined
categorical semantics as morphisms in a dagger-compact category. Our chosen setting is …

[2103.13771] The Sheaf-Theoretic Structure of Definite Causality Skip to main content Cornell
University We gratefully acknowledge support from the Simons Foundation, member …

Quantum supermaps provide a framework in which higher order quantum processes can act
on lower order quantum processes. In doing so, they enable the definition and analysis of …

We introduce and explore the notion of" spaces of input histories", a broad family of
combinatorial objects which can be used to model input-dependent, dynamical causal order …

We explore indefinite causal order between events in the context of quasiclassical
spacetimes in superposition. We introduce several new quantifiers to measure the degree of …

Quantum circuits form the standard framework of quantum computing, and have started
playing the same role for some parts of quantum foundations. However, they cannot …

Quantum theory is manifestly in tension with the classical notion of causality. How do we
recover causal reasoning in the quantum regime? In this dissertation, we propose a …