Name
Abstract | ||
|---|---|---|
We provide several bounds on the maximum size of MU k-Schmidt bases in C-d circle times C-d'. We first give some upper bounds on the maximum size of MU k-Schmidt bases in C-d circle times C-d' by conversation law. Then we construct two maximally entangled mutually unbiased (MU) bases in the space C-2 circle times C-3, which is the first example of maximally entangled MU bases in C-d circle times C-d when d (sic) d'. By applying a general recursive construction to this example, we are able to obtain two maximally entangled MU bases in C-d circle times C-d for infinitely many d, d' such that d is not a divisor of d'. We also give some applications of the two maximally entangled MU bases in C-2 circle times C-3. Further, we present an efficient method of constructing MU k-Schmidt bases. It solves an open problem proposed in [Y. F. Han et al., Quantum Inf. Process. 17, 58 (2018)]. Our work improves all previous results on maximally entangled MU bases. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1007/s11128-020-02890-4 | QUANTUM INFORMATION PROCESSING |
Keywords | DocType | Volume |
Mutually unbiased bases,Maximally entangled MU bases,MUk-Schmidt bases | Journal | 19 |
Issue | ISSN | Citations |
10 | 1570-0755 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Fei Shi | 1 | 0 | 0.34 |
| Yi Shen | 2 | 0 | 0.68 |
| Lin Chen | 3 | 0 | 1.35 |
| Xiande Zhang | 4 | 52 | 15.19 |