IsCP - Revision history

Nathaniel at 15:28, 29 September 2014

2014-09-29T15:28:52Z

← Older revision		Revision as of 15:28, 29 September 2014
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	\|desc=Determines whether or not a [[superoperator]] is [[completely positive]]		\|desc=Determines whether or not a [[superoperator]] is [[completely positive]]
	\|rel=[[IsHermPreserving]]		\|rel=[[IsHermPreserving]]
			\|cat=[[List of functions#Superoperators\|Superoperators]]
	\|upd=January 4, 2013		\|upd=January 4, 2013
	\|v=1.01}}		\|v=0.50}}
	<tt>'''IsCP'''</tt> is a [[List of functions\|function]] that determines whether or not a given [[superoperator]] is [[completely positive]].		<tt>'''IsCP'''</tt> is a [[List of functions\|function]] that determines whether or not a given [[superoperator]] is [[completely positive]].

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	==Examples==		==Examples==
	The following code verifies that the map $\Phi$ defined by $\Phi(X) = X - UXU^*$ is not completely positive, 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 not completely positive, where $U = \frac{1}{\sqrt{2}}\begin{bmatrix}1 & 1 \\ -1 & 1\end{bmatrix}$.
	<~~pre~~>		<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};
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	0		0
	</~~pre~~>		</syntaxhighlight>

			{{SourceCode\|name=IsCP}}

Nathaniel: Uploaded v1.01

2013-01-21T16:35:19Z

Uploaded v1.01

← Older revision		Revision as of 16:35, 21 January 2013
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	\|name=IsCP		\|name=IsCP
	\|desc=Determines whether or not a [[superoperator]] is [[completely positive]]		\|desc=Determines whether or not a [[superoperator]] is [[completely positive]]
	\|~~req~~=[[~~ApplyMap]]<br />[[ChoiMatrix]]<br />[[iden]]<br />[[IsPSD]]<br />[[MaxEntangled]]<br />[[opt_args]]<br />[[PermuteSystems~~]]		\|rel=[[IsHermPreserving]]
	\|upd=January 3, 2013		\|upd=January 4, 2013
	\|v=1.00}}		\|v=1.01}}
	<tt>'''IsCP'''</tt> is a [[List of functions\|function]] that determines whether or not a given superoperator is [[completely positive]].		<tt>'''IsCP'''</tt> is a [[List of functions\|function]] that determines whether or not a given [[superoperator]] is [[completely positive]].

	==Syntax==		==Syntax==
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	==Examples==		==Examples==
			The following code verifies that the map $\Phi$ defined by $\Phi(X) = X - UXU^*$ is not completely positive, where $U = \frac{1}{\sqrt{2}}\begin{bmatrix}1 & 1 \\ -1 & 1\end{bmatrix}$.
			<pre>
			>> U = [1 1;-1 1]/sqrt(2);
			>> Phi = {eye(2),eye(2); U,-U};
			>> IsCP(Phi)

	~~Add some examples here.~~		ans =

			0
			</pre>

Nathaniel: Created page with "{{Function |name=IsCP |desc=Determines whether or not a superoperator is completely positive |req=ApplyMap
ChoiMatrix
iden
IsPSD
[[..."

2013-01-03T17:30:00Z

Created page with "{{Function |name=IsCP |desc=Determines whether or not a superoperator is completely positive |req=ApplyMap ChoiMatrix iden IsPSD [[..."

New page

{{Function
|name=IsCP
|desc=Determines whether or not a [[superoperator]] is [[completely positive]]
|req=[[ApplyMap]] [[ChoiMatrix]] [[iden]] [[IsPSD]] [[MaxEntangled]] [[opt_args]] [[PermuteSystems]]
|upd=January 3, 2013
|v=1.00}}
<tt>'''IsCP'''</tt> is a [[List of functions|function]] that determines whether or not a given superoperator is [[completely positive]].

==Syntax==
* <tt>CP = IsCP(PHI)</tt>
* <tt>CP = IsCP(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 when determining complete positivity.

==Examples==

Add some examples here.

IsCP - Revision history

Nathaniel at 15:28, 29 September 2014

Nathaniel: Uploaded v1.01

Nathaniel: Created page with "{{Function |name=IsCP |desc=Determines whether or not a superoperator is completely positive |req=ApplyMapChoiMatrixidenIsPSD[[..."

Nathaniel: Created page with "{{Function |name=IsCP |desc=Determines whether or not a superoperator is completely positive |req=ApplyMap
ChoiMatrix
iden
IsPSD
[[..."