IsHermPreserving
Jump to navigation
Jump to search
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 =
1
Source code
Click here to view this function's source code on github.