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Attosecond (10−18s) science has emerged from the study of the interaction of matter with intense laser fields, and it is the natural successor of femtochemistry [1]. Its main objective is to resolve and ultimately control electron dynamics in real time. Electrons play a key role in photosynthesis, destroy or modify molecules, and can be used for information processing in human-made devices. This wide range of applications and huge potential for attosecond imaging of matter has made it a hugely popular and expanding area. Unfortunately, this rapid growth has led to a vast, fragmented methodological landscape, with many conflicting views.

The International Centre for Mathematical Sciences (ICMS)

This event is a continuation of the first ICMS workshop held at ICMS on the same topic, in September 2019, and will build upon the existing links between operator algebras, quantum theory and optimisation.

Graphentheorie und Kombinatorik,    Analysis

ICMS - International Centre for Mathematical Sciences

Topology is likely to be featured prominently in any truly useful quantum computation scheme. The hurdle of scalable fault-tolerance is insurmountable with the current incremental progress -- while it is possible to engineer systems supporting hundreds of physical qubits, applications beyond academic interest require millions of qubits to implement robust error correction. Topological quantum computation (TQC) relies upon the preparation of topological phases of matter supporting non-abelian anyons to perform inherently fault-tolerant operations. As errors are corrected at the hardware level through the topological nature of anyons, the problem of scalability is simultaneously overcome. On the other hand, despite years of effort we still don't have unassailable confirmation that non-abelian anyons exist. This workshop will bring together researchers in a diversity of fields in and around TQC for the purpose of broadening and deepening the subject, with an eye towards accelerating the realization of scalable technology.

Geometrie und Topologie,    Quantenmaterialien, Tieftemperaturphysik