Schreiber Rethinking FQH Anyons -- talk

A talk that I have given:

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• Urs Schreiber$\;\;$on joint work with$\;\;$ Hisham Sati:

  
  

  Rethinking FQH Anyons –
  

  via the Algebraic Topology of exotic Flux Quantization

  slides: pdf

  video: yt, lm

  
  

  talk at
  NYU-NYUAD Workshop on Quantum Matter and Quantum Computing
  @ Center for Quantum Information Physics
  NYU New York, 19-20 May 2025

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Abstract. Fractional quantum Hall systems (FQH) are a main contender for future hardware-implementation of error-protected quantum registers (“topological qbits”) subject to error-protected quantum operations (“topological quantum gates”), both plausibly necessary for future quantum computing at useful scale, but both remaining insufficiently understood.

One issue is that FQH anyons are (vortices supported by) magnetic flux quanta, while proper flux quantization in FQH systems has remained problematic.

This talk is to present a novel non-Lagrangian effective quantum field theory for FQH anyons which is all based on proper flux quantization, reducing the analysis of anyonic quantum -states, -observables, and -measurement channels to rigorous algebraic topology.

I will indicate how fractional statistics and topological order of FQH systems is (re-)derived, while some predictions differ subtly from those of traditional effective Chern-Simons theory — which might be observable in experiment and might inform the search for topological quantum hardware.

Based on:

• Rethinking Fractional Quantum Hall Anyons via the Algebraic Topology of exotic Flux Quanta

Related talks:

• Rethinking Topological Quantum (lightning talk)

• Homotopy Theory for Topological Quantum Computing (aimed at algebraic topologists)