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Updated: May 22, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

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Published on: August 2, 2019

Thouless quantum walks in topological flat bands.

Carlo Danieli¹, Claudio Conti^2,3, Laura Pilozzi^4,5

¹Institute for Complex Systems, National Research Council (ISC-CNR), Via dei Taurini 19, Rome, 00185, Italy.

Light, Science & Applications

|May 20, 2026

Summary

This summary is machine-generated.

This study introduces non-Abelian Thouless pumping for quantum walks on topological lattices. This method encodes system properties and demonstrates parity symmetry breaking, linking it to time-reversal symmetry breaking.

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Area of Science:

Theoretical Physics
Quantum Mechanics
Condensed Matter Physics

Background:

Non-Abelian gauge symmetries are fundamental in theoretical physics and quantum mechanics.
Their application in controlling quantum systems like coherence and entanglement is largely unexplored.

Purpose of the Study:

To explore the potential of non-Abelian gauge symmetries in engineered quantum systems.
To realize one-dimensional discrete-time quantum walks using non-Abelian Thouless pumping.

Main Methods:

Utilizing non-Abelian Thouless pumping on topological lattices with degenerate flat bands.
Implementing holonomic coin and shift operators through designed pumping cycles.

Main Results:

Constructed quantum walks encoding topological and geometric properties of the system.
Observed parity symmetry breaking in the quantum walk evolution.
Demonstrated a dynamical process governed by a Weyl-like equation.

Conclusions:

Non-Abelian Thouless pumping offers a novel framework for quantum walks.
The study highlights a connection between parity and time-reversal symmetry breaking in quantum walks.