The structure of quaternary quantum caps

Document Type

Article

Publication Date

9-2014

Department

Department of Mathematical Sciences

Abstract

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).

Publication Title

Designs, Codes, and Cryptography

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