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Anyon Braiding — Topological Quantum Gates

Braid non-Abelian Ising anyons in a 3D spacetime diagram and watch each crossing apply a real unitary gate to a topologically protected qubit — the gate depends only on the braid's topology, never on the exact path.

Quantum Physics3DAdvanced60 FPS📱 Mobile-adapted⇄ 2D version

Topological quantum computers store information not in a single fragile particle but in the collective braiding history of non-Abelian anyons — quasiparticles that exist only in two-dimensional systems and whose exchange statistics go beyond the boson/fermion dichotomy. This simulator renders four Ising anyons as worldlines climbing through a 3D spacetime block; every button press braids two neighbouring strands over or under each other and simultaneously applies the exact matching unitary gate — drawn from the real braid-group representation used in the topological quantum computing literature — to a qubit encoded in their shared fusion space. The braid word, the resulting quantum state, and its measurement probabilities update live, making visible the central idea of the field: the logical gate depends only on the topology of the braid, never on the wobble of the path.

⚙ Under the hood

Braid four non-Abelian Ising anyons in a 3D spacetime diagram and watch each crossing apply a real unitary gate to a topologically protected qubit, showing that the gate depends only on the braid's topology.

anyonstopological quantum computingbraid groupquantum gatesIsing anyonsqubit

3D · Three.js / WebGL renderer · 60 FPS target · runs fully client-side, no install