toric code

GPTKB entity

Statements (30)
Predicate Object
gptkbp:instanceOf quantum error-correcting code
gptkbp:basedOn topological order
gptkbp:basisFor gptkb:surface_code
gptkbp:borders periodic (torus)
gptkbp:category stabilizer code
gptkbp:dimensions 2D
gptkbp:errorCorrectionThreshold ~11% for bit-flip and phase-flip errors
gptkbp:errorSyndrome star and plaquette operators
gptkbp:excitationType electric charge (e) and magnetic flux (m) anyons
gptkbp:groundStateDegeneracy 4
https://www.w3.org/2000/01/rdf-schema#label toric code
gptkbp:implementedIn trapped ions
superconducting qubits
gptkbp:introducedIn 1997
gptkbp:inventedBy gptkb:Alexei_Kitaev
gptkbp:logicalOperators non-contractible loops on torus
gptkbp:logicalQubit encoded in global degrees of freedom
gptkbp:logicalQubitsEncodedIn degeneracy of ground state
gptkbp:notablePublication gptkb:Fault-tolerant_quantum_computation_by_anyons_(Kitaev,_1997)
gptkbp:physicalQubitsRequired n^2 for n x n lattice
gptkbp:protectedBy local errors
gptkbp:qubitsArrangedOn 2D lattice
gptkbp:relatedTo gptkb:surface_code
gptkbp:stabilizerCode yes
gptkbp:supports anyonic excitations
gptkbp:topologicalProtection yes
gptkbp:usedFor fault-tolerant quantum computation
gptkbp:usedIn topological quantum computation
gptkbp:bfsParent gptkb:Alexei_Kitaev
gptkbp:bfsLayer 5