{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-9721209","patent":{"patent_number":"US-9721209","title":"Method and system for efficient decomposition of single-qubit quantum gates into Fibonacci anyon braid circuits","assignee":null,"inventors":[],"filing_date":"2013-10-14T00:00:00.000Z","publication_date":"2017-08-01T00:00:00.000Z","cpc_codes":["G06N","G06N","B82Y"],"num_claims":21,"abstract":"Methods for compiling single-qubit quantum gates into braid representations for non-Abelian quasiparticles described by the Fibonacci anyon model are based on a probabilistically polynomial algorithm that, given a single-qubit unitary gate and a desired target precision, outputs a braid pattern that approximates the unitary to desired precision and has a length that is asymptotically optimal (for a circuit with such property). Single-qubit unitaries that can be implemented exactly by a Fibonacci anyon braid pattern are classified, and associated braid patterns are obtained using an iterative procedure. Target unitary gates that are not exactly representable as braid patterns are first approximated to a desired precision by a unitary that is exactly representable, then a braid pattern associated with the latter is obtained."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Method and system for efficient decomposition of single-qubit quantum gates into Fibonacci anyon braid circuits","description":"Methods for compiling single-qubit quantum gates into braid representations for non-Abelian quasiparticles described by the Fibonacci anyon model are based on a probabilistically polynomial algorithm ","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-9721209","license":"CC-BY-4.0-like","license_terms":"AI-generated analysis on this page (summary, layman_explanation, technical_analysis, business_analysis, faqs) may be reused with attribution and a visible link back to the canonical URL above. Patent abstracts, claims, and bibliographic data are USPTO public domain.","required_link":"https://patentable.app/patents/US-9721209","citation_suggestion":"Patentable. \"Method and system for efficient decomposition of single-qubit quantum gates into Fibonacci anyon braid circuits\" (US-9721209). https://patentable.app/patents/US-9721209","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-9721209","json":"https://patentable.app/api/llm-context/US-9721209","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-06-06T11:45:41.043Z"}