Name
Abstract | ||
|---|---|---|
The higher rank numerical range is closely connected to the construction of quantum error correction code for a noisy quantum channel. It is known that if a normal matrix $A\in M_n$ has eigenvalues $a_1,\dots,a_n$, then its higher rank numerical range $\Lambda_k(A)$ is the intersection of convex polygons with vertices $a_{j_1},\dots,a_{j_{n-k+1}}$, where $1\leq j_1 |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1137/09076430X | SIAM J. Matrix Analysis Applications |
Keywords | Field | DocType |
. quantum error correction,higher rank,noisy quantum channel,convex polygon,higher rank numerical ranges,leq j_1,higher rank numerical range,convex polygon.,nor- mal matrices,normal matrix,numerical range,quantum error correction code,normal matrices,quantum physics,eigenvalues,quantum channel,quantum error correction,functional analysis | Combinatorics,M-matrix,Vertex (geometry),Convex polygon,Regular polygon,Numerical range,Eigenvalues and eigenvectors,Mathematics,Lambda,Normal matrix | Journal |
Volume | Issue | ISSN |
32 | 1 | SIAM J. Matrix Analysis Appl, 32:23-43, 2011 |
Citations | PageRank | References |
2 | 0.58 | 2 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hwa-Long Gau | 1 | 2 | 0.58 |
| Chi-Kwong Li | 2 | 313 | 29.81 |
| Yiu-Tung Poon | 3 | 12 | 2.82 |
| Nung-Sing Sze | 4 | 14 | 4.45 |