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numerical-shadow:examples:9x9
Hermitian matrices
In the case of Hermitian matrices the numerical shadow is a one dimensional distribution.
Diagonal matrices
Example 1
The matrix is $\mathrm{diag}(1, 2, 3, 4, 5, 6, 7, 8, 9)$
| Numerical shadow with respect to complex product states. | Numerical shadow with respect to real product states. |
|---|---|
 |  |
| Numerical shadow with respect to complex entangled states. | Numerical shadow with respect to real entangled states. |
|---|---|
 |  |
Example 2
The matrix is $\mathrm{diag}(1, 2, 2, 4, 5, 6, 7, 8, 9)$
| Numerical shadow with respect to complex product states. | Numerical shadow with respect to real product states. |
|---|---|
 |  |
| Numerical shadow with respect to complex entangled states. | Numerical shadow with respect to real entangled states. |
|---|---|
 |  |
Example 3
The matrix is $\mathrm{diag}(1, 2, 2, 2, 5, 6, 7, 8, 9)$
| Numerical shadow with respect to complex product states. | Numerical shadow with respect to real product states. |
|---|---|
 |  |
| Numerical shadow with respect to complex entangled states. | Numerical shadow with respect to real entangled states. |
|---|---|
 |  |
Example 4
The matrix is $\mathrm{diag}(1, 2, 2, 2, 2, 2, 2, 8, 9)$
| Numerical shadow with respect to complex product states. | Numerical shadow with respect to real product states. |
|---|---|
 |  |
| Numerical shadow with respect to complex entangled states. | Numerical shadow with respect to real entangled states. |
|---|---|
 |  |
Example 5
The matrix is $\mathrm{diag}(1, 2, 2, 2, 2, 2, 2, 2, 9)$
| Numerical shadow with respect to complex product states. | Numerical shadow with respect to real product states. |
|---|---|
 |  |
| Numerical shadow with respect to complex entangled states. | Numerical shadow with respect to real entangled states. |
|---|---|
 |  |
Example 6
The matrix is $\mathrm{diag}(1, 2, 2, 2, 2, 6, 6, 6, 9)$
| Numerical shadow with respect to complex product states. | Numerical shadow with respect to real product states. |
|---|---|
 |  |
| Numerical shadow with respect to complex entangled states. | Numerical shadow with respect to real entangled states. |
|---|---|
 |  |
Example 7
The matrix is $\mathrm{diag}(1, 2, 2, 2, 6, 6, 6, 8, 9)$
| Numerical shadow with respect to complex product states. | Numerical shadow with respect to real product states. |
|---|---|
| |  |
| Numerical shadow with respect to complex entangled states. | Numerical shadow with respect to real entangled states. |
|---|---|
 |  |
Example 8
The matrix is $\mathrm{diag}(1, 1, 1, 1, 9, 9, 9, 9, 9)$
| Numerical shadow with respect to complex product states. | Numerical shadow with respect to real product states. |
|---|---|
 |  |
| Numerical shadow with respect to complex entangled states. | Numerical shadow with respect to real entangled states. |
|---|---|
 |  |
numerical-shadow/examples/9x9.txt · Last modified: 2014/01/07 11:21 by lpawela
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