New entanglement-assisted quantum codes constructed from Hermitian LCD codes

Hermitian linear complementary dual (LCD) codes are a class of linear codes that intersect with their Hermitian dual trivially. Each Hermitian LCD code can give an entanglement-assisted quantum error-correcting code (EAQECC) with maximal entanglement. Methods of constructing Hermitian LCD codes from known codes were developed, and seven new Hermitian LCD codes with parameters [119, 4, 88]4, [123, 4, 91]4, [124, 4, 92]4, [136, 4, 101]4, [140, 4, 104]4, [188, 4, 140]4 and [212, 4, 158]4 were constructed. Seven families of Hermitian LCD codes and their related EAQECCs were derived from these codes. These new EAQECCs have better parameters than those known in the literature.