About: Toric code

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The toric code is a topological quantum error correcting code, and an example of a stabilizer code, defined on a two-dimensional spin lattice. It is the simplest and most well studied of the quantum double models. It is also the simplest example of topological order—Z2 topological order(first studied in the context of Z2 spin liquid in 1991). The toric code can also be considered to be a Z2 lattice gauge theory in a particular limit. It was introduced by Alexei Kitaev.

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rdfs:label	Code de Kitaev (fr) Toric code (en)
rdfs:comment	Le code de Kitaev (aussi appelé le « code torique ») est un code de correction d'erreurs quantiques topologique, qui peut être défini par le formalisme des codes stabilisateurs sur un réseau carré 2D Ce code fait partie de la famille des codes de surfaces et il possède des conditions aux bords périodiques, ce qui forme donc un tore. (fr) The toric code is a topological quantum error correcting code, and an example of a stabilizer code, defined on a two-dimensional spin lattice. It is the simplest and most well studied of the quantum double models. It is also the simplest example of topological order—Z2 topological order(first studied in the context of Z2 spin liquid in 1991). The toric code can also be considered to be a Z2 lattice gauge theory in a particular limit. It was introduced by Alexei Kitaev. (en)
foaf:depiction
dcterms:subject	Quantum phases Condensed matter physics Fault-tolerant computer systems Quantum information science
Wikipage page ID	29260402 (xsd:integer)
Wikipage revision ID	1121888699 (xsd:integer)
Link from a Wikipage to another Wikipage	Quantum computation Qubit One-way quantum computer Topological entanglement entropy Quantum phases Anyon Quasiparticles Topological order Quantum spin liquid Syndrome decoding Stabilizer code Condensed matter physics Fault-tolerant computer systems Torus Lattice gauge theory Alexei Kitaev Fermionic Quantum gate Quantum error correction Quantum information science Bosonic Planar graph Spin-½ Spin (physics) Square lattice Anyons Quantum information String-net liquid Spin–statistics theorem Rydberg atoms Josephson junctions Hashing bound Edmonds's matching algorithm Spin liquid
Link from a Wikipage to an external page	https://skepsisfera.blogspot.com/2010/04/kitaevs-toric-code.html
sameAs	Toric code Toric code Toric code Toric code Toric code
dbp:wikiPageUsesTemplate	dbt:Clarify dbt:Definition_needed dbt:Reflist dbt:Quantum_computing
thumbnail	wiki-commons:Special:FilePath/ToricCodeLattice.png?width=300
has abstract	Le code de Kitaev (aussi appelé le « code torique ») est un code de correction d'erreurs quantiques topologique, qui peut être défini par le formalisme des codes stabilisateurs sur un réseau carré 2D Ce code fait partie de la famille des codes de surfaces et il possède des conditions aux bords périodiques, ce qui forme donc un tore. (fr) The toric code is a topological quantum error correcting code, and an example of a stabilizer code, defined on a two-dimensional spin lattice. It is the simplest and most well studied of the quantum double models. It is also the simplest example of topological order—Z2 topological order(first studied in the context of Z2 spin liquid in 1991). The toric code can also be considered to be a Z2 lattice gauge theory in a particular limit. It was introduced by Alexei Kitaev. The toric code gets its name from its periodic boundary conditions, giving it the shape of a torus. These conditions give the model translational invariance, which is useful for analytic study. However, some experimental realizations require open boundary conditions, allowing the system to be embedded on a 2D surface. The resulting code is typically known as the planar code. This has identical behaviour to the toric code in most, but not all, cases. (en)
gold:hypernym	Error
prov:wasDerivedFrom	wikipedia-en:Toric_code?oldid=1121888699&ns=0
page length (characters) of wiki page	29791 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Toric_code
is Link from a Wikipage to another Wikipage of	One-way quantum computer Topological error correcting codes Timeline of quantum computing and communication Quantum spin liquid Sycamore processor Linear code Localization-protected quantum order Alexei Kitaev Fracton (subdimensional particle) Topological entropy in physics Quantum error correction Toric Xiao-Gang Wen Majorana fermion Subir Sachdev Topological quantum computer String-net liquid Planar code Surface code Surface codes
is Wikipage redirect of	Topological error correcting codes Planar code Surface code Surface codes
is Wikipage disambiguates of	Toric
is known for of	Alexei Kitaev

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