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- Stabilizer_code abstract "The theory of quantum error correction plays a prominent role in the practical realization and engineering ofquantum computing and quantum communication devices. The first quantumerror-correcting codes are strikingly similar to classical block codes in theiroperation and performance. Quantum error-correcting codes restore a noisy,decohered quantum state to a pure quantum state. Astabilizer quantum error-correcting code appends ancilla qubitsto qubits that we want to protect. A unitary encoding circuit rotates theglobal state into a subspace of a larger Hilbert space. This highly entangled,encoded state corrects for local noisy errors. A quantum error-correcting code makes quantum computationand quantum communication practical by providing a way for a sender andreceiver to simulate a noiseless qubit channel given a noisy qubit channelthat has a particular error model.The stabilizer theory of quantum error correction allows one to import someclassical binary or quaternary codes for use as a quantum code. The only"catch" when importing is that theclassical code must satisfy the dual-containing or self-orthogonalityconstraint. Researchers have found many examples of classical codes satisfyingthis constraint, but most classical codes do not. Nevertheless, it is still useful to import classical codes in this way (though, see how the entanglement-assisted stabilizer formalism overcomes this difficulty).".
- Stabilizer_code wikiPageExternalLink 9512032.
- Stabilizer_code wikiPageExternalLink 9608006.
- Stabilizer_code wikiPageExternalLink 9705052.
- Stabilizer_code wikiPageID "5045759".
- Stabilizer_code wikiPageRevisionID "595123872".
- Stabilizer_code hasPhotoCollection Stabilizer_code.
- Stabilizer_code subject Category:Linear_algebra.
- Stabilizer_code comment "The theory of quantum error correction plays a prominent role in the practical realization and engineering ofquantum computing and quantum communication devices. The first quantumerror-correcting codes are strikingly similar to classical block codes in theiroperation and performance. Quantum error-correcting codes restore a noisy,decohered quantum state to a pure quantum state. Astabilizer quantum error-correcting code appends ancilla qubitsto qubits that we want to protect.".
- Stabilizer_code label "Code stabilisateur".
- Stabilizer_code label "Stabilizer code".
- Stabilizer_code sameAs Code_stabilisateur.
- Stabilizer_code sameAs m.0d0b73.
- Stabilizer_code sameAs Q2981610.
- Stabilizer_code sameAs Q2981610.
- Stabilizer_code wasDerivedFrom Stabilizer_code?oldid=595123872.
- Stabilizer_code isPrimaryTopicOf Stabilizer_code.