Construction of Entanglement-assisted Quantum Codes with Maximal Entanglement from Proj ective Caps
LI Rui-hu
FU Qiang
GUO Luo-bin
Abstract：According to the entanglement-assisted quantum error-correcting code (EAQECC)theory,a ge-ometry character of a quaternary linear code stabilized a maximal entanglement EAQECC is presented.On the basis of this character and the theory of Cap in proj ective space,methods for constructing such Caps by combinational mathematics and search algorithm are designed,and good codes from such Caps are deter-mined.Many maximal entanglement EAQECCs are constructed from these obtained Cap codes.Almost all the maximal entanglement EAQECCs constructed here are optimal or near optimal EAQECCs,and some of them are the improved parameters of EAQECCs previously known;and some of them are new ones,but are very difficult to be obtained by using the known methods.
Keywords：EAQECCmaximal entanglementproj ective spaceCapoptimal code
Publication Date：2014-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：4( 80-83 )