Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Underflow Gates

Underflow Gates

Underflow gates are vital for controlling water flow in irrigation canals. The three main types of underflow gates — vertical, radial, and drum gates — serve different purposes while ensuring effective flow management. Vertical gates move up and down, generating a free-flowing water jet; radial gates pivot to regulate the flow; and drum gates rotate for precise adjustments. The flow through these gates is influenced by downstream conditions, resulting in free or drowned outflow.Free and Drowned...

The Quantum-Mechanical Model of an Atom

The Quantum-Mechanical Model of an Atom

Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra. Schrödinger...

Design Example: Forces in Sluice Gate

Design Example: Forces in Sluice Gate

In hydraulic engineering, sluice gates are essential for managing water flow through channels, reservoirs, and irrigation systems. Sluice gates, acting as vertical barriers, regulate water by adjusting the gate's opening height, which changes the velocity and pressure of water flowing beneath the gate. Understanding the forces involved is crucial to designing sluice gates that can withstand dynamic pressure differences, especially when the gate is closed or partially open.
Key variables in...

First-Order Circuits

First-Order Circuits

First-order electrical circuits, which comprise resistors and a single energy storage element - either a capacitor or an inductor, are fundamental to many electronic systems. These circuits are governed by a first-order differential equation that describes the relationship between input and output signals.
One common example of a first-order circuit is the RC (resistor-capacitor) circuit. These circuits are used in relaxation oscillators such as neon lamp oscillator circuits. When voltage is...

Network Function of a Circuit

Network Function of a Circuit

Frequency response analysis in electrical circuits provides vital insights into a circuit's behavior as the frequency of the input signal changes. The transfer function, a mathematical tool, is instrumental in understanding this behavior. It defines the relationship between phasor output and input and comes in four types: voltage gain, current gain, transfer impedance, and transfer admittance. The critical components of the transfer function are the poles and zeros.

Second-Order Circuits

Second-Order Circuits

Integrating two fundamental energy storage elements in electrical circuits results in second-order circuits, encompassing RLC circuits and circuits with dual capacitors or inductors (RC and RL circuits). Second-order circuits are identified by second-order differential equations that link input and output signals.
Input signals typically originate from voltage or current sources, with the output often representing voltage across the capacitor and/or current through the inductor. For example, in...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Mixed-State Topological Order and the Errorfield Double Formulation of Decoherence-Induced Transitions.

Physical review letters·2026

Same author

Improved quantum processor logical error rates via correction and detection.

Nature·2026

Same author

Topological Constraint on Crystalline Current.

Physical review letters·2026

Same author

Digital quantum magnetism on a trapped-ion quantum computer.

Nature·2026

Same author

Modulation of Superconductivity across a Lifshitz Transition in Alternating-Angle Twisted Quadrilayer Graphene.

Physical review letters·2026

Same author

Microscopic mechanism of anyon superconductivity emerging from fractional Chern insulators.

Newton ((New York, N.Y.)·2026

Search research articles

Related Experiment Video

Updated: Jul 17, 2026

Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots

Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots

Published on: November 1, 2013

Universal gates from braiding and fusing anyons on quantum hardware.

Chiu Fan Bowen Lo¹, Anasuya Lyons², Dan Gresh³

¹Department of Physics, Harvard University, Cambridge, MA, USA. chiufanbowenlo@g.harvard.edu.

|July 15, 2026

Summary

Topological quantum computation using anyon fusion in S3 states enables universal quantum gates. This approach overcomes limitations of braiding-only methods, paving the way for scalable quantum computing.

More Related Videos

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

Related Experiment Videos

Last Updated: Jul 17, 2026

Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots

Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots

Published on: November 1, 2013

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:

Quantum Information Science
Condensed Matter Physics
Quantum Computing

Background:

Quantum computers need global information manipulation for noise resilience.
Topologically ordered phases offer encoding in ground states or anyonic excitations.
Toric codes lack universal gates; braiding non-Abelian anyons is key for topological quantum computation.

Purpose of the Study:

Demonstrate that anyon fusion can achieve universality in minimally non-Abelian topological states.
Showcase the S3 topologically ordered state as a platform for universal quantum computation.
Explore new pathways for quantum information manipulation using quantum matter properties.

Main Methods:

Prepared a 54-qubit ground state of the quantum double of S3 on Quantinuum's H2 processor.
Encoded logical information in the global fusion space of non-Abelian anyons.
Combined braiding with anyon fusion to realize a universal topological gate set.

Main Results:

Achieved universality in S3 topologically ordered states by incorporating anyon fusion.
Successfully realized and read-out a universal topological gate set.
Demonstrated topological preparation of a magic state using the S3 system.

Conclusions:

The S3 topologically ordered state is scalable and sufficient for universal quantum computation.
Anyon fusion is a viable computational primitive for topological quantum computers.
This work advances the use of quantum matter for robust quantum information processing.