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Related Experiment Video

Updated: Jun 18, 2026

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

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

Published on: August 2, 2019

Topological quantum computing with Read-Rezayi states.

L Hormozi¹, N E Bonesteel, S H Simon

¹Joint Quantum Institute, National Institute of Standards and Technology, and University of Maryland, Gaithersburg, Maryland 20899, USA.

Physical Review Letters

|November 13, 2009

Summary

This summary is machine-generated.

This study presents a method for creating quantum gates using non-Abelian anyons from Read-Rezayi states. This advances topological quantum computation by enabling universal gate sets for qubits.

Related Experiment Videos

Last Updated: Jun 18, 2026

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

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

Published on: August 2, 2019

Area of Science:

Condensed Matter Physics
Quantum Information Science

Background:

Read-Rezayi fractional quantum Hall states are key candidates for non-Abelian anyons.
Non-Abelian anyons are crucial for building fault-tolerant topological quantum computers.

Purpose of the Study:

To develop an efficient method for identifying braiding operations.
To construct a universal set of quantum gates for topological quantum computation using Read-Rezayi states.

Main Methods:

Prescription for finding braids on anyons.
Analysis of Read-Rezayi states with k>2, k!=4.

Main Results:

An efficient method for constructing universal quantum gates is presented.
The study extends prior work on Fibonacci anyons (k=3).
Clarification on why gate construction is simpler for k=3 compared to generic Read-Rezayi states.

Conclusions:

The proposed prescription enables efficient universal quantum gate construction.
This work provides a pathway for realizing topological quantum computation with specific fractional quantum Hall states.