The structure of quaternary quantum caps

Jürgen Bierbrauer,Daniele Bartoli,Giorgio Faina,Stefano Marcugini,Fernanda Pambianco,Yves Edel

Designs, Codes and Cryptography（2013）

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摘要

We give a geometric description of binary quantum stabilizer codes. In the case of distance d=4 this leads to the notion of a quaternary quantum cap. We describe several recursive constructions for quantum caps, determine the quantum caps in PG(3,4) and the cardinalities of quantum caps in PG(4,4).

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关键词

Quantum cap,Quaternary code,Quantum stabilizer code,Symplectic geometry,Projective space,Trace,Hyperoval,Elliptic quadric

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