Quantum foundations concerns the conceptual and mathematical underpinnings of quantum theory. In particular, we search for novel quantum effects, consider how to interpret the formalism, ask where the formalism comes from, and how we might modify it. Research at Perimeter Institute is particularly concerned with reconstructing quantum theory from more natural postulates and reformulating the theory in ways that elucidate its conceptual structure. Research in the foundations of quantum theory naturally interfaces with research in quantum information and quantum gravity.
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IBM (United States)
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The Kitaev model and aspects of semisimple Hopf algebras via the graphical calculus
Universität Innsbruck -
A tensor network framework for topological phases of quantum matter
University of Vienna -
Interacting Hopf monoids and Graphical Linear Algebra
University of Southampton -
Introduction to CQM
University of Oxford -
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Topological defects and higher-categorical structures
Karlstad University -
Kitaev lattice models as a Hopf algebra gauge theory
University of Erlangen-Nuremberg -
An Introduction to Hopf Algebra Gauge Theory
University of Erlangen-Nuremberg -
Gapped phases of matter vs. Topological field theories
Perimeter Institute for Theoretical Physics -
Topological Quantum Computation
Texas A&M University