Verstraete Lab

Ghent University

Vlaams Gewest (BE2) · Belgium

ERC-funded
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ERC Advanced Grant · 2022

''It’s the Symmetry, Stupid!'' Gearing Up Tensor Networks for the Topological Quantum Revolution

This proposal is set in the era of the second quantum revolution, in which there is a strong need for a computational framework to describe and simulate topological materials and quantum devices possessing exotic particle statistics. * The two leading actors: symmetries and tensor networks. * The story: while the topological materials seem to defy Landau’s symmetry breaking paradigm as they do not exhibit a local order parameter, tensor networks strike back with the emergence of a local “pulling-through” symmetry of the local tensors describing them. * The catch: the symmetry happens in the shadow world of entanglement degrees of freedom, is in general non-invertible, and speaks the…

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