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Contextuality and quantum advantage

Supervisor

Suitable for

MSc in Computer Science
Mathematics and Computer Science, Part C
Computer Science, Part C
Computer Science and Philosophy, Part C

Abstract

"The aim of the project is to explore the use of quantum resources to gain advantage over classical computational models in a range of tasks. The tasks which may be considered include: bounded-depth circuits, non-local games, measurement-based computation, communication complexity, and query complexity. High-level methods for describing quantum solutions for such problems will be studied, based on recent work on a structural theory of contextuality and its application to quantum advantage developed by Abramsky and co-workers. Both qualitative aspects - existence of perfect strategies or solutions - and quantitative aspects - contextuality monotones and resource inequalities - will be studied.

References:

Contextual fraction as a measure of contextuality, Abramsky, Barbosa and Mansfield PRL 2017 The quantum monad, Abramsky, Barbosa, de Silva and Zapata, MFCS 2017. "