Stabilizer Quantum Codes: A Unified View based on Forney-style Factor Graphs

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dc.creatorVontobel, Pascal O.
dc.date2008-07-22
dc.date.accessioned2026-07-07T09:52:17Z
dc.date.available2026-07-07T09:52:17Z
dc.descriptionQuantum error-correction codes (QECCs) are a vital ingredient of quantum computation and communication systems. In that context it is highly desirable to design QECCs that can be represented by graphical models which possess a structure that enables efficient and close-to-optimal iterative decoding. In this paper we focus on stabilizer QECCs, a class of QECCs whose construction is rendered non-trivial by the fact that the stabilizer label code, a code that is associated with a stabilizer QECC, has to satisfy a certain self-orthogonality condition. In order to design graphical models of stabilizer label codes that satisfy this condition, we extend a duality result for Forney-style factor graphs (FFGs) to the stabilizer label code framework. This allows us to formulate a simple FFG design rule for constructing stabilizer label codes, a design rule that unifies several earlier stabilizer label code constructions.
dc.descriptionProceedings 5th International Symposium on Turbo Codes and Related Topics, Lausanne, Switzerland, September 1-5, 2008
dc.identifierhttps://arxiv.org/abs/0807.3566
dc.identifierhttp://arxiv.org/abs/0807.3566
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165545
dc.subjectQuantum Physics
dc.subjectInformation Theory
dc.titleStabilizer Quantum Codes: A Unified View based on Forney-style Factor Graphs
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