Difference between revisions of "IsHermPreserving"
Jump to navigation
Jump to search
(Fixed example) |
|||
| Line 3: | Line 3: | ||
|desc=Determines whether or not a [[superoperator]] is [[Hermiticity preserving]] | |desc=Determines whether or not a [[superoperator]] is [[Hermiticity preserving]] | ||
|rel=[[IsCP]] | |rel=[[IsCP]] | ||
| + | |cat=[[List of functions#Superoperators|Superoperators]] | ||
|upd=January 4, 2013 | |upd=January 4, 2013 | ||
| − | |v= | + | |v=0.50}} |
<tt>'''IsHermPreserving'''</tt> is a [[List of functions|function]] that determines whether or not a given [[superoperator]] is [[Hermiticity preserving]]. | <tt>'''IsHermPreserving'''</tt> is a [[List of functions|function]] that determines whether or not a given [[superoperator]] is [[Hermiticity preserving]]. | ||
| Line 17: | Line 18: | ||
==Examples== | ==Examples== | ||
The following code verifies that the map $\Phi$ defined by $\Phi(X) = X - UXU^*$ is Hermiticity preserving, where $U = \frac{1}{\sqrt{2}}\begin{bmatrix}1 & 1 \\ -1 & 1\end{bmatrix}$. | The following code verifies that the map $\Phi$ defined by $\Phi(X) = X - UXU^*$ is Hermiticity preserving, where $U = \frac{1}{\sqrt{2}}\begin{bmatrix}1 & 1 \\ -1 & 1\end{bmatrix}$. | ||
| − | < | + | <syntaxhighlight> |
>> U = [1 1;-1 1]/sqrt(2); | >> U = [1 1;-1 1]/sqrt(2); | ||
>> Phi = {eye(2),eye(2); U,-U}; | >> Phi = {eye(2),eye(2); U,-U}; | ||
| Line 25: | Line 26: | ||
1 | 1 | ||
| − | </ | + | </syntaxhighlight> |
| + | |||
| + | {{SourceCode|name=IsHermPreserving}} | ||
Latest revision as of 15:30, 29 September 2014
| IsHermPreserving | |
| Determines whether or not a superoperator is Hermiticity preserving | |
| Other toolboxes required | none |
|---|---|
| Related functions | IsCP |
| Function category | Superoperators |
IsHermPreserving is a function that determines whether or not a given superoperator is Hermiticity preserving.
Syntax
- HP = IsHermPreserving(PHI)
- HP = IsHermPreserving(PHI,TOL)
Argument descriptions
- PHI: A superoperator. Should be provided as either a Choi matrix, or as a cell with either 1 or 2 columns (see the tutorial page for more details about specifying superoperators within QETLAB).
- TOL (optional, default eps^(3/4)): The numerical tolerance used.
Examples
The following code verifies that the map $\Phi$ defined by $\Phi(X) = X - UXU^*$ is Hermiticity preserving, where $U = \frac{1}{\sqrt{2}}\begin{bmatrix}1 & 1 \\ -1 & 1\end{bmatrix}$.
>> U = [1 1;-1 1]/sqrt(2);
>> Phi = {eye(2),eye(2); U,-U};
>> IsHermPreserving(Phi)
ans =
1Source code
Click here to view this function's source code on github.