| dbo:abstract
|
- The Bacon–Shor code is a Subsystem error correcting code. In a Subsystem code, information is encoded in a subsystem of a Hilbert space. Subsystem codes lend to simplified error correcting procedures unlike codes which encode information in the subspace of a Hilbert space. This simplicity led to the first demonstration of fault tolerant circuits on a quantum computer. Given the stabilizer generators of Shor's code: , 4 stabilizers can be removed from this generator by recognizing gauge symmetries in the code to get: . Error correction is now simplified because 4 stabilizers are needed to measure errors instead of 8. A gauge group can be created from the stabilizer generators:. Given that the Bacon–Shor code is defined on a square lattice where the qubits are placed on the vertices; laying the qubits on a grid in a way that corresponds to the gauge group shows how only 2 qubit nearest-neighbor measurements are needed to infer the error syndromes. The simplicity of deducing the syndromes reduces the overheard for fault tolerant error correction. ZZ ZZ q0---q1--q2XX| | |XX | | | q6--q2--q8XX| | |XX | | | q3--q4--q5 ZZ ZZ (en)
|
| dbo:wikiPageID
| |
| dbo:wikiPageLength
|
- 3594 (xsd:nonNegativeInteger)
|
| dbo:wikiPageRevisionID
| |
| dbo:wikiPageWikiLink
| |
| dbp:wikiPageUsesTemplate
| |
| dcterms:subject
| |
| rdfs:comment
|
- The Bacon–Shor code is a Subsystem error correcting code. In a Subsystem code, information is encoded in a subsystem of a Hilbert space. Subsystem codes lend to simplified error correcting procedures unlike codes which encode information in the subspace of a Hilbert space. This simplicity led to the first demonstration of fault tolerant circuits on a quantum computer. ZZ ZZ q0---q1--q2XX| | |XX | | | q6--q2--q8XX| | |XX | | | q3--q4--q5 ZZ ZZ (en)
|
| rdfs:label
| |
| owl:sameAs
| |
| prov:wasDerivedFrom
| |
| foaf:isPrimaryTopicOf
| |
| is dbo:wikiPageRedirects
of | |
| is dbo:wikiPageWikiLink
of | |
| is foaf:primaryTopic
of | |
