IsHermPreserving - Revision history

Nathaniel at 15:30, 29 September 2014

2014-09-29T15:30:02Z

Nathaniel: Fixed example

2013-01-21T16:31:56Z

Fixed example

Nathaniel at 16:25, 21 January 2013

2013-01-21T16:25:29Z

Nathaniel: LaTeX fix

2013-01-21T16:25:13Z

LaTeX fix

Nathaniel: Created page with "{{Function |name=IsHermPreserving |desc=Determines whether or not a superoperator is Hermiticity preserving |rel=IsCP |upd=January 4, 2013 |v=1.00}} `'''IsHermP..."`

2013-01-21T16:24:03Z Created page with "{{Function |name=IsHermPreserving |desc=Determines whether or not a superoperator is Hermiticity preserving |rel=IsCP |upd=January 4, 2013 |v=1.00}} <tt>'''IsHermP..." New page {{Function |name=IsHermPreserving |desc=Determines whether or not a [[superoperator]] is [[Hermiticity preserving]] |rel=[[IsCP]] |upd=January 4, 2013 |v=1.00}} <tt>'''IsHermPreserving'''</tt> is a [[List of functions|function]] that determines whether or not a given [[superoperator]] is [[Hermiticity preserving]]. ==Syntax== * <tt>HP = IsHermPreserving(PHI)</tt> * <tt>HP = IsHermPreserving(PHI,TOL)</tt> ==Argument descriptions== * <tt>PHI</tt>: 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). * <tt>TOL</tt> (optional, default <tt>eps^(3/4)</tt>): The numerical tolerance used. ==Examples== The following code verifies that the map $\Phi$ defined by $\Phi(X) = X - UXU^*$ is Hermiticity preserving, where $U triangleq \frac{1}{\sqrt{2}}\begin{bmatrix}1 & 1 \\ -1 & 1\end{bmatrix}$. <pre> >> U = [1 1;-1 1]/sqrt(2); >> Phi = {eye(2),U; eye(2),-U}; >> IsHermPreserving(Phi) ans = 1 </pre>

@@ Line 3: / Line 3: @@
 |desc=Determines whether or not a [[superoperator]] is [[Hermiticity preserving]]
 |rel=[[IsCP]]
 |upd=January 4, 2013
-|v=1.00}}
+|v=0.50}}
 <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==
 The following code verifies that the map $\Phi$ defined by $\Phi(X) = X - UXU^*$ is Hermiticity preserving, where $U = \frac{1}{\sqrt{2}}\begin{bmatrix}1 & 1 \\ -1 & 1\end{bmatrix}$.
-<pre>
+<syntaxhighlight>
 >> U = [1 1;-1 1]/sqrt(2);
 >> Phi = {eye(2),eye(2); U,-U};
@@ Line 25: / Line 26: @@
-</pre>
+</syntaxhighlight>

@@ Line 16: / Line 16: @@
 ==Examples==
-The following code verifies that the map $\Phi$ defined by $\Phi(X) = X - UXU^*$ is Hermiticity preserving, where $U \triangleq \frac{1}{\sqrt{2}}\begin{bmatrix}1 & 1 \\ -1 & 1\end{bmatrix}$.
+The following code verifies that the map $\Phi$ defined by $\Phi(X) = X - UXU^*$ is Hermiticity preserving, where $U = \frac{1}{\sqrt{2}}\begin{bmatrix}1 & 1 \\ -1 & 1\end{bmatrix}$.
 <pre>
 >> U = [1 1;-1 1]/sqrt(2);