Home▸Quantum Physics▸Anyon Braid Diagram — 2D Topological Quantum Gates

Anyon Braid Diagram — 2D Topological Quantum Gates

A classic 2D braid diagram for four non-Abelian Ising anyons: strand crossings with under/over gaps apply the exact same braid-group unitary as the 3D spacetime version, alongside a live complex-plane phasor plot of the topological qubit.

Quantum Physics2DAdvanced60 FPS📱 Mobile-adapted⇄ 3D version

This is the planar, native-2D counterpart of the 3D anyon-braiding spacetime simulator: the same non-Abelian Ising-anyon braid-group matrices, drawn instead as a classic top-to-bottom braid diagram with under-strand gaps at every crossing, plus a live complex-plane phasor view of the topologically protected qubit's two fusion-channel amplitudes. Every button press applies the exact same unitary as the 3D version and appends the matching crossing to the diagram — the logical gate still depends only on the braid's topology, never on how it is drawn.

⚙ Under the hood

Braid four non-Abelian Ising anyons on a classic 2D braid diagram — strand crossings drawn with under/over gaps apply the exact same braid-group unitary as the 3D spacetime version, alongside a live complex-plane phasor plot of the topologically protected qubit's two fusion amplitudes.

anyonstopological quantum computingbraid groupquantum gatesIsing anyonsqubitphasor plot

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install