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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 wikiPageLength "15478".
- Stabilizer_code wikiPageOutDegree "72".
- Stabilizer_code wikiPageRevisionID "673894352".
- Stabilizer_code wikiPageWikiLink Abelian_group.
- Stabilizer_code wikiPageWikiLink Ancilla_bit.
- Stabilizer_code wikiPageWikiLink Anticommutativity.
- Stabilizer_code wikiPageWikiLink Binary_operation.
- Stabilizer_code wikiPageWikiLink Bit_array.
- Stabilizer_code wikiPageWikiLink Block_code.
- Stabilizer_code wikiPageWikiLink Boolean_algebra.
- Stabilizer_code wikiPageWikiLink Category:Linear_algebra.
- Stabilizer_code wikiPageWikiLink Category:Quantum_computing.
- Stabilizer_code wikiPageWikiLink Centralizer_and_normalizer.
- Stabilizer_code wikiPageWikiLink Commutative_property.
- Stabilizer_code wikiPageWikiLink Direct_sum.
- Stabilizer_code wikiPageWikiLink Dual_code.
- Stabilizer_code wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Stabilizer_code wikiPageWikiLink Entanglement-assisted_stabilizer_formalism.
- Stabilizer_code wikiPageWikiLink Equivalence_class.
- Stabilizer_code wikiPageWikiLink Error_detection_and_correction.
- Stabilizer_code wikiPageWikiLink Group_action.
- Stabilizer_code wikiPageWikiLink Group_theory.
- Stabilizer_code wikiPageWikiLink Hilbert_space.
- Stabilizer_code wikiPageWikiLink Isolated_point.
- Stabilizer_code wikiPageWikiLink Isomorphism.
- Stabilizer_code wikiPageWikiLink Matrix_(mathematics).
- Stabilizer_code wikiPageWikiLink Measurement_in_quantum_mechanics.
- Stabilizer_code wikiPageWikiLink Operator_(physics).
- Stabilizer_code wikiPageWikiLink Parity-check_matrix.
- Stabilizer_code wikiPageWikiLink Pauli_group.
- Stabilizer_code wikiPageWikiLink Pauli_matrices.
- Stabilizer_code wikiPageWikiLink Phase_(waves).
- Stabilizer_code wikiPageWikiLink Quantum_channel.
- Stabilizer_code wikiPageWikiLink Quantum_computing.
- Stabilizer_code wikiPageWikiLink Quantum_decoherence.
- Stabilizer_code wikiPageWikiLink Quantum_entanglement.
- Stabilizer_code wikiPageWikiLink Quantum_error_correction.
- Stabilizer_code wikiPageWikiLink Quantum_information_science.
- Stabilizer_code wikiPageWikiLink Quantum_state.
- Stabilizer_code wikiPageWikiLink Qubit.
- Stabilizer_code wikiPageWikiLink Representation_(mathematics).
- Stabilizer_code wikiPageWikiLink Subgroup.
- Stabilizer_code wikiPageWikiLink Support_(mathematics).
- Stabilizer_code wikiPageWikiLink Symplectic_vector_space.
- Stabilizer_code wikiPageWikiLink Syndrome.
- Stabilizer_code wikiPageWikiLink Tensor_product.
- Stabilizer_code wikiPageWikiLink Vector_space.
- Stabilizer_code wikiPageWikiLinkText "Quantum block code".
- Stabilizer_code wikiPageWikiLinkText "Stabilizer code".
- Stabilizer_code wikiPageWikiLinkText "Stabilizer".
- Stabilizer_code wikiPageWikiLinkText "self-correcting".
- Stabilizer_code wikiPageWikiLinkText "stabilizer code".
- Stabilizer_code wikiPageWikiLinkText "stabilizer".
- Stabilizer_code wikiPageUsesTemplate Template:Cleanup.
- Stabilizer_code wikiPageUsesTemplate Template:Quantum_computing.
- Stabilizer_code subject Category:Linear_algebra.
- Stabilizer_code subject Category:Quantum_computing.
- Stabilizer_code type Page.
- 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 "Stabilizer code".
- Stabilizer_code sameAs Q2981610.
- Stabilizer_code sameAs Code_stabilisateur.
- Stabilizer_code sameAs m.0d0b73.
- Stabilizer_code sameAs Q2981610.
- Stabilizer_code wasDerivedFrom Stabilizer_code?oldid=673894352.
- Stabilizer_code isPrimaryTopicOf Stabilizer_code.