The structure of quaternary quantum caps

Coauthors J. Bierbrauer, D. Bartoli, G. Faina, S. Marcugini, F. Pambianco.

Designs, Codes and Cryptography, 72, No. 3 (2014), 733-747.



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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