Structure of 2D Topological Stabilizer Codes View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2014-04

AUTHORS

Héctor Bombín

ABSTRACT

We provide a detailed study of the general structure of translationally invariant two-dimensional topological stabilizer quantum error correcting codes, including subsystem codes. We show that they can be understood in terms of the homology of string operators that carry a certain topological charge. In subsystem codes, two dual kinds of charges appear. We prove that two non-chiral codes are equivalent under local transformations iff they have isomorphic topological charges. Our approach emphasizes local properties over global ones. More... »

PAGES

387-432

References to SciGraph publications

  • 2001-07. Projective Plane and Planar Quantum Codes in FOUNDATIONS OF COMPUTATIONAL MATHEMATICS
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/s00220-014-1893-4

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    http://dx.doi.org/10.1007/s00220-014-1893-4

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