ISYS
Financiado
''It’s the Symmetry, Stupid!'' Gearing Up Tensor Networks for the Topological Q...
''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 statisti...
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 language of bimodule categories. * The magic: the tensor network picture makes the abstract concepts and mathematical tools needed to describe topological and critical systems, such as cohomology theory and bimodule categories, very tangible and concrete as wavefunctions of quantum spin systems which can easily be put on a computer. * The mission: develop the mathematics of tensor network representations of (higher) categorical and non-invertible symmetries; construct a computational toolbox which exploits those symmetries; construct explicit matrix product operator intertwiners for dualities between theories with non-Abelian / categorical symmetries; construct novel CFTs from categorical data; create a bridge between bimodule categories and integrability.* The crescendo: tensor networks with categorical symmetries take over the world by 1. setting up real-space renormalization group flows in which unwanted relevant perturbations are crushed and 2.constructing and evaluating quantum error correcting codes based on non-Abelian anyons.* The take-away: deep theoretical ideas and state of the art computational aspects are not parallel lines of development, but are one and the same and must be fused with each other.* The moral: For things to remain the same, everything must change.
ver más
Duración del proyecto: 59 meses
Fecha Inicio: 2023-12-01
Fecha Fin: 2028-11-30
Fecha Fin: 2028-11-30
Línea de financiación: concedida
El organismo HORIZON EUROPE notifico la concesión del proyecto el día 2023-12-01
Línea de financiación objetivo
El proyecto se financió a través de la siguiente ayuda:
ERC-2022-ADG:
ERC ADVANCED GRANTS
Cerrada
hace 2 años
Presupuesto
El presupuesto total del proyecto asciende a
2M€
Líder del proyecto
UNIVERSITEIT GENT
No se ha especificado una descripción o un objeto social para esta compañía.
Perfil tecnológico
TRL
4-5
Perfil tecnológico
TRL
4-5