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The structure of quaternary quantum caps. (English) Zbl 1322.81024

Summary: 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 \(\mathrm{PG}(3,4)\) and the cardinalities of quantum caps in \(\mathrm{PG}(4,4)\).

MSC:

81P70 Quantum coding (general)
51E22 Linear codes and caps in Galois spaces
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