Statements (51)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
quantum error correction code
|
| gptkbp:advantage |
high error threshold
local operations requires many physical qubits per logical qubit |
| gptkbp:application |
quantum error correction in spin qubits
quantum error correction in superconducting qubits quantum error correction in trapped ions |
| gptkbp:basisFor |
Pauli operators
stabilizer code theory stabilizer measurements |
| gptkbp:codeDistance |
determined by lattice size
|
| gptkbp:demonstrates |
gptkb:Google_Quantum_AI
gptkb:University_of_Sydney gptkb:IBM_Quantum |
| gptkbp:enables |
fault-tolerant quantum computation
|
| gptkbp:errorSyndrome |
measured by ancilla qubits
|
| gptkbp:errorThreshold |
~1% per gate
|
| gptkbp:field |
gptkb:quantum_computing
|
| https://www.w3.org/2000/01/rdf-schema#label |
surface code
|
| gptkbp:introducedIn |
1997
|
| gptkbp:inventedBy |
gptkb:Alexei_Kitaev
|
| gptkbp:logicalErrorRate |
decreases exponentially with code distance
|
| gptkbp:logicalOperations |
implemented via braiding or lattice surgery
|
| gptkbp:logicalOperator |
string of Pauli operators across lattice
|
| gptkbp:logicalQubit |
encoded in patch of physical qubits
|
| gptkbp:logicalQubits |
encoded in 2D lattice
|
| gptkbp:measures |
syndrome extraction
|
| gptkbp:physicalQubits |
arranged in a grid
|
| gptkbp:protectedBy |
bit-flip errors
phase-flip errors |
| gptkbp:relatedTo |
gptkb:toric_code
color code planar code |
| gptkbp:requires |
nearest-neighbor interactions
ancilla qubits repetitive measurements |
| gptkbp:size |
favorable for large-scale quantum computers
|
| gptkbp:stabilizer |
plaquette operators
star operators |
| gptkbp:studiedBy |
quantum information theorists
|
| gptkbp:threshold |
highest among known quantum codes
|
| gptkbp:type |
topological code
|
| gptkbp:usedFor |
quantum error correction
quantum gates quantum memory quantum error detection scalable quantum computation |
| gptkbp:usedIn |
quantum computers
|
| gptkbp:uses |
stabilizer formalism
|
| gptkbp:bfsParent |
gptkb:toric_code
|
| gptkbp:bfsLayer |
6
|