We give a geometric description of binary quantum stabilizer codes. In the case of distance 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).

The structure of quaternary quantum caps

BARTOLI, DANIELE;FAINA, Giorgio;MARCUGINI, Stefano;PAMBIANCO, Fernanda
2014

Abstract

We give a geometric description of binary quantum stabilizer codes. In the case of distance 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).
2014
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1083066
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