{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"6dbba682893cd5889685c1d4b33369dd24be7ed4e241349ae157e5e3e56dc868","created":"2026-10-03T07:18:00Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"7d56b96e4200961cc8b4139d4bd6371e60671c62b36f388e701ad6301e9a44af","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"identification","assisted_by":[],"external_id":"cm.non-abelian-quantum-hall.fibonacci-twelve-fifths","kind":"well-posed","literature_status":"open","n":"1","parents":[],"plain":"The $12/5$ state in gallium arsenide may host Fibonacci anyons, whose braiding alone could perform any quantum computation, but this has not been tested.","posed_since":"1999","precise":"For the $\\nu = 12/5$ state in GaAs, determine whether the topological order is the particle-hole conjugate of the Read-Rezayi $Z_3$ parafermion state (Fibonacci anyons, $e* = e/5$) or an Abelian hierarchy state; the candidates differ in $\\kappa_{xy}$ and in tunnelling exponents. An answer is $\\kappa_{xy}$ and $e*$ measurements consistent with one candidate.","problem_ref":null,"references":"","settled_by":"Thermal Hall conductance at $12/5$ plus shot-noise quasiparticle charge measurement.","status_note":"","title":"Is the $12/5$ quantum Hall state a Fibonacci anyon phase","topic_ref":"ef024a2f66f3667f8a1263272e91fdabf80879850538a70f33d99943574b7c2c"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"a1d4bb2e521adbd762015f6e6ee772d732fd5b8fd550cab151828fa882705f91","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"379f26825405f7dc8ac93e0f4fb7e3e266f6d9ef690713c1ffe94c2945a2daad","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"1Mv8UQ-oZ_gWNXjcTHsbwMKvbn3p7w9H4aq0BWozLXEOJXLUW7a1dIPJ66ahsp6bBFuVTp97JnjhpH6d0gcHAA"},"schema":"pubphys.envelope/1"},"record_hash":"a1d4bb2e521adbd762015f6e6ee772d732fd5b8fd550cab151828fa882705f91","leaf_index":1114}