Name
Title | ||
|---|---|---|
Some new families of entanglement-assisted quantum MDS codes derived from negacyclic codes |
Abstract | ||
|---|---|---|
Entanglement-assisted quantum error-correcting codes as a generalization of stabilizer quantum error-correcting (QEC) codes can improve the performance of stabilizer QEC codes and can be constructed from arbitrary classical linear codes by relaxing the dual-containing condition and using pre-shared entanglement states between the sender and the receiver. In this paper, we construct some families of entanglement-assisted quantum maximum distance separable codes with parameters
$$[[\frac{{{q^2} - 1}}{a},\frac{{{q^2} - 1}}{a} - 2(d - 1) + c,d;c]]_q$$
, where q is an odd prime power with the form
$$q=am\pm l$$
,
$$a = {l^2} - 1$$
or
$$a = \frac{{{l^2} - 1}}{2}$$
, l is an odd integer, and m is a positive integer. Most of these codes are new in the sense that their parameters are not covered by the codes available in the literature. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1007/s11128-022-03661-z | Quantum Information Processing |
Keywords | DocType | Volume |
Entanglement-assisted quantum error-correcting code, Negacyclic code, Cyclotomic coset, Defining set | Journal | 21 |
Issue | ISSN | Citations |
9 | 1573-1332 | 0 |
PageRank | References | Authors |
0.34 | 23 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wang Liqi | 1 | 0 | 0.34 |
| Wang Pan | 2 | 0 | 0.34 |
| Shixin Zhu | 3 | 1 | 2.05 |