Name
Title | ||
|---|---|---|
Construction of quantum caps in projective space (, 4) and quantum codes of distance 4 |
Abstract | ||
|---|---|---|
Constructions of quantum caps in projective space PG(r, 4) by recursive methods and computer search are discussed. For each even n satisfying $$nge 282$$n?282 and each odd z satisfying $$zge 275$$z?275, a quantum n-cap and a quantum z-cap in $$PG(k-1, 4)$$PG(k-1,4) with suitable k are constructed, and $$[[n,n-2k,4]]$$[[n,n-2k,4]] and $$[[z,z-2k,4]]$$[[z,z-2k,4]] quantum codes are derived from the constructed quantum n-cap and z-cap, respectively. For $$nge 282$$n?282 and $$nne 286$$n?286, 756 and 5040, or $$zge 275$$z?275, the results on the sizes of quantum caps and quantum codes are new, and all the obtained quantum codes are optimal codes according to the quantum Hamming bound. While constructing quantum caps, we also obtain many large caps in PG(r, 4) for $$rge 11$$r?11. These results concerning large caps provide improved lower bounds on the maximal sizes of caps in PG(r, 4) for $$rge 11$$r?11. |
Year | DOI | Venue |
|---|---|---|
2016 | https://doi.org/10.1007/s11128-015-1204-9 | Quantum Information Processing |
Keywords | Field | DocType |
Projective space,Cap,Self-orthogonal code,Quantum code | Discrete mathematics,Quantum,Quantum codes,Quantum mechanics,Hamming bound,Computer search,Projective space,Physics | Journal |
Volume | Issue | ISSN |
15 | 2 | 1570-0755 |
Citations | PageRank | References |
1 | 0.36 | 6 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ruihu Li | 1 | 34 | 6.11 |
| Qiang Fu | 2 | 791 | 81.92 |
| Luobin Guo | 3 | 14 | 4.00 |
| Xueliang Li | 4 | 737 | 103.78 |