Topological Quantum Computation

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Topological Quantum Computation

 09 - 13 Oct 2023

ICMS, Bayes Centre, Edinburgh

  • Xingshan Cui, Purdue University
  • Paul Martin , University of Leeds
  • Eric Rowell, Texas A&M University
  • Zhenghan Wang , University of California, Santa Barbara and Microsoft Research

About:

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 brought 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.  We explored new directions beyond the traditional anyon community,  embracing relevant topics such as quantum cellular automata, fractons, categorical symmetries and motion groups in 3-dimensions.

Participants were a mixture of world experts and early career researchers from several fields in mathematics and physics from across the globe.

Programme:

Monday 9 October 2023
Arrival and registration
Welcome
Maissam Barkeshli, University of Maryland Higher group symmetry in topological states
Tea & coffee
Steven Simon, University of Oxford Experiments with Anyons
Lunch
Nathanan Tantivasadakarn , California Institute of Technology From wave-function collapse and Galois solvability to the realization of non-Abelian topological order on a quantum device
Tea & coffee
Margarita Davydova, Massachusetts Institute of Technology Quantum computation from dynamic automorphism codes
Welcome reception at ICMS
Tuesday 10 October 2023
Arthur Jaffe, Harvard University Fourier Analysis in Discrete Quantum Theory
Tea & coffee
Corey Jones, North Carolina State University Quantum cellular automata on fusion categorical spin chains
Lunch
Fiona Torzewska, University of Bristol Motion Groupoids
Tea & coffee
Yasuyuki Kawahigashi, University of Tokyo Two-dimensional topological order and operator algebras
Wednesday 11 October 2023
Colleen Delaney, UC Berkeley Zesting anyons and symmetry defects
Tea & coffee
Hubert Saleur, IPhT CEA Saclay Topological lines and RG flows in loop models
Lunch and free afternoon
Thursday 12 October 2023
David Penneys, Ohio State University Boundary algebras and local topological order
Tea & coffee
Yoshiko Ogata, University of Tokyo Boundary states of a bulk gapped ground state in 2-d quantum spin systems
Lunch
Eric Samperton, Purdue University Topological quantum computation is hyperbolic
Tea & coffee
Vanessa Miemietz, University of East Anglia Higher representation theory
Workshop dinner
Friday 13 October 2023
Catherine Meusburger, Friedrich-Alexander Universität Erlangen-Nürnberg Turaev-Viro state sum models with defects
Tea & coffee
Paul Fendley, University of Oxford “Dualities” from non-invertible topological defects
Lunch and end of workshop

Sponsors and Funders:

  • NSF