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Stabilizer code

In quantum computing and quantum communication, a stabilizer code is a class of quantum codes for performing quantum error correction. The toric code, and surface codes more generally, are types of stabilizer codes considered very important for the practical realization of quantum information processing. In fact, the toric code and surface codes also…

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Definition

N-qubit Pauli groupHermitianEigenvaluesAnti-commuteEigenspace
10 related topics

Overview

Quantum computingQuantum communicationCodesQuantum error correctionToric code
15 related topics

Relation between Pauli group and binary vectors

Symplectic algebraSymplectic productError correctionIsotropicDirect sum
5 related topics

Stabilizer error-correction conditions

DiscreteSupportMeasuringParity measurement
4 related topics

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Overview

Definition

Examples

Logical operators

Stabilizer error-correction conditions

Relation between Pauli group and binary vectors

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Stabilizer code

Nodes46
Edges45
Triples67
Avg. degree1.96
Density0.043478
Components1

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Stabilizer code

Top relations

related to References · 29
Stabilizer code → American Physical Society, APS, Available, Bibcode, Calderbank, Caltech Ph, Error Correcting Codes, GF, Good, Gottesman, IEEE Trans, Inf, ISSN, Peter, Physical Review, Physical Review Letters, PMID, Quantum, Quantum Theory, R2493
related to Knill–Laflamme conditions · 8
Stabilizer code → E1, E2, However, If, Pauli, The, Therefore, When
related to Logical operators · 8
Stabilizer code → By, For, Pauli, PS, SP, There, Therefore, This
related to Classical repetition code · 7
Stabilizer code → As, However, It, Pauli, The, Xi, Zi
related to Examples · 5
Stabilizer code → For, Indeed, The, This, XXX
related to Definition · 4
Stabilizer code → Hermitian, Pauli, The, Therefore
related to Five-qubit code · 4
Stabilizer code → An, As, It, Its
is a · 2
Stabilizer code → class of quantum codes for performing quantum error correction, five qubit

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Important terminology

stabilizer code displaystyle codes logical error quantum classical mathcal also operators pauli physical commute group qubits stabilizers operator rangle one

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Stabilizer codeis aclass of quantum codes for performing quantum error correction0.90text
Stabilizer codeis afive qubit0.90text
Stabilizer coderelated to Classical repetition codeAs0.60section
Stabilizer coderelated to Classical repetition codeIt0.60section
Stabilizer coderelated to Classical repetition codePauli0.60section
Stabilizer coderelated to Classical repetition codeXi0.60section
Stabilizer coderelated to Classical repetition codeHowever0.60section
Stabilizer coderelated to Classical repetition codeZi0.60section
Stabilizer coderelated to Classical repetition codeThe0.60section
Stabilizer coderelated to DefinitionThe0.60section
Stabilizer coderelated to DefinitionPauli0.60section
Stabilizer coderelated to DefinitionHermitian0.60section

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