Research ArticleNo Access

Symplectic isometries of stabilizer codes

Tefjol Pllaha

Department of Mathematics, University of Kentucky, Lexington, KY 40506, USA

https://doi.org/10.1142/S0219498820500218Cited by:0 (Source: Crossref)

Abstract

In this paper, we study the equivalence of quantum stabilizer codes via symplectic isometries of stabilizer codes. We define monomially and symplectically equivalent stabilizer codes and determine how different the two notions can be. Further, we show that monomial maps correspond to local Clifford operators. We relate the latter with the LU-LC Conjecture.

Communicated by S. R. López-Permouth

Keywords:

AMSC: 11T71, 94B05

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