Optimal Maximal Entanglement EAQECCs constructed by LCD caps in PG(3,9) and PG(4,9)

Entanglement-assisted quantum error correcting codes (EAQECCs) play an important role against errors in quantum information system. Especially maximal entanglement EAQECCs can achieve a higher rate and have better noise suppression capabilities. In this paper, LCD caps in
PG
(3, 9) and
PG
(4, 9) are discussed and used to construct maximal entanglement EAQECCs with distance 4. According to Hamming bound, most of these results are optimal.