Title

The structure of quaternary quantum caps

Authors

Jürgen Bierbrauer, Michigan Technological UniversityFollow
Daniele Bartoli, Università degli Studi di Perugia
Giorgio Faina, Università degli Studi di Perugia
Stefano Marcugini, Università degli Studi di Perugia
Fernanda Pambianco, Università degli Studi di Perugia
Yves Edel, Universiteit Gent

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

Recommended Citation

Bierbrauer, J., Bartoli, D., Faina, G., Marcugini, S., Pambianco, F., & Edel, Y. (2014). The structure of quaternary quantum caps. Designs, Codes, and Cryptography, 72(3), 733-747. http://doi.org/10.1007/s10623-013-9796-5
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/4878