Worldlines
Operations
Topological qubits:
Non-Abelian anyons (e.g., Majorana, Fibonacci) encode qubits in their fusion space. Information is topological — immune to local noise.
Braiding:
Exchanging anyons applies a unitary gate on the code space. Gate = element of braid group B_n.
Protected:
Local perturbations cannot distinguish topological states. Error must wind around anyon — topologically protected.
Physical platforms:
Fractional QH (ν=5/2), Kitaev chain (Majorana), topological superconductors.
Non-Abelian anyons (e.g., Majorana, Fibonacci) encode qubits in their fusion space. Information is topological — immune to local noise.
Braiding:
Exchanging anyons applies a unitary gate on the code space. Gate = element of braid group B_n.
Protected:
Local perturbations cannot distinguish topological states. Error must wind around anyon — topologically protected.
Physical platforms:
Fractional QH (ν=5/2), Kitaev chain (Majorana), topological superconductors.