{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"22ab2df6a4fc4c89f04c1c4d6341ea285c344042f56276eb82a2ce7a79803ba4","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["a1d4bb2e521adbd762015f6e6ee772d732fd5b8fd550cab151828fa882705f91","ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b"],"salt":"27ab8f38df7e366c4d0c0399c6da98e94babba4d4d847c55461c668439ea15be","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":"2","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":"a1d4bb2e521adbd762015f6e6ee772d732fd5b8fd550cab151828fa882705f91","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":null},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"1eaea5791ae47892c420ae7b73feddd7c9ec9ea0c4eee9feeb03754ec9c4d30b","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"0223c53c32c3be70eac55ba72b10f7913a03a2512eefccbdc6c9e580e06bc776","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"49Ec1JNqNfX3pOBMqbyhcPHXIVuI1aaWy67X-wTPTX0PvpP_pcHAlrFevK1lEmwxjkXZFeZnmMTofgUQ1BRxBw"},"schema":"pubphys.envelope/1"},"record_hash":"1eaea5791ae47892c420ae7b73feddd7c9ec9ea0c4eee9feeb03754ec9c4d30b","leaf_index":2976}