Stat-mech models with symmetries capture how proliferation of two non-Abelian anyons in D4 topological order parasitically condenses a shared Abelian anyon, destroying topological order while the trivial phase remembers which anyons condensed.
Fault-tolerant quantum computation by anyons
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A geometric phase transition produces crystalline hippocampal coding in food-caching birds that yields over 100-fold higher location memory capacity than the mist-like coding in non-caching birds.
A photonic cavity creates a chirality-controlled rotating pinning potential that performs branch-conditioned braiding of non-Abelian anyons and maps the result onto measurable cavity coherence.
Convolutional neural network decoders achieve good performance on surface code error correction and adapt across noise models, with explainable AI used to inspect their decisions.
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