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Quantum error-correcting codes from Algebraic Geometry codes of Castle type
April 25, 2016 Β· Declared Dead Β· π Quantum Information Processing
"No code URL or promise found in abstract"
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Authors
Carlos Munuera, Wanderson TenΓ³rio, Fernando Torres
arXiv ID
1604.07193
Category
cs.IT: Information Theory
Cross-listed
math.AG
Citations
34
Venue
Quantum Information Processing
Last Checked
6 months ago
Abstract
We study Algebraic Geometry codes producing quantum error-correcting codes by the CSS construction. We pay particular attention to the family of Castle codes. We show that many of the examples known in the literature in fact belong to this family of codes. We systematize these constructions by showing the common theory that underlies all of them.
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