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- W2169373207 abstract "This chapter discusses quantum error-correcting codes constructed from algebraic curves. We give an introduction to quantum coding theory including bounds on quantum codes. We describe stabilizer codes which are the quantum analog of classical linear codes and discuss the binary and q-ary CSS construction. Then we focus on quantum codes from algebraic curves including the projective line, Hermitian curves, and hyperelliptic curves. In addition, we describe the asymptotic behaviors of quantum codes from the Garcia-Stichtenoth tower attaining the Drinfeld-Vladuţ bound." @default.
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- W2169373207 date "2008-10-01" @default.
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- W2169373207 title "Quantum Error-Correcting Codes from Algebraic Curves" @default.
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- W2169373207 doi "https://doi.org/10.1142/9789812794017_0012" @default.
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