Quantum Contextuality and Non-locality: Foundations, Applications and Extensions

Dear Colleagues,

Quantum contextuality is a fundamental non-classical feature of quantum mechanics. Mathematically, non-locality is a special case of contextuality. As well as being central to quantum foundations, these features play a crucial role in most of the known instances of quantum advantage in information processing tasks. Moreover, the mathematical structures characteristic of contextuality also arise in a range of non-quantum settings, from databases to computational linguistics.

We seek submissions which relate to one or more of these aspects of contextuality:

• The rich mathematical foundations of contextuality, including sheaves and cohomology, graph theory , convex geometry and optimisation, probability, and computational complexity.
• Current applications of contextuality and non-locality, which include demonstrations of quantum advantage in computational settings such as shallow circuits and communication complexity, randomness amplification, and variational quantum eigensolvers.
• Connections of contextuality ideas and methods have been found to ideas in logic, databases, constraints, computational linguistics and behavioural science.

We seek papers which develop and extend these ideas, deepen the foundations, and find new areas of application.

Prof. Dr. Samson Abramsky
Guest Editor

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