ChoiMatrix - Revision history

Nathaniel at 02:27, 28 November 2014

2014-11-28T02:27:47Z

Nathaniel at 15:20, 29 September 2014

2014-09-29T15:20:54Z

Nathaniel: Uploaded v1.01 (fixed a bug when the input or output space isn't square)

2013-01-21T17:31:33Z

Uploaded v1.01 (fixed a bug when the input or output space isn't square)

Nathaniel: Created page with "{{Function |name=ChoiMatrix |desc=Computes the Choi matrix of a superoperator |req=ApplyMap
iden
MaxEntangled
opt_args
[[PermuteSys..."

2013-01-02T19:28:18Z

Created page with "{{Function |name=ChoiMatrix |desc=Computes the Choi matrix of a superoperator |req=ApplyMap iden MaxEntangled opt_args [[PermuteSys..."

New page

{{Function
|name=ChoiMatrix
|desc=Computes the [[Choi matrix]] of a [[superoperator]]
|req=[[ApplyMap]] [[iden]] [[MaxEntangled]] [[opt_args]] [[PermuteSystems]]
|upd=January 2, 2013
|v=1.00}}
<tt>'''ChoiMatrix'''</tt> is a [[List of functions|function]] that computes the [[Choi matrix]] of a superoperator.

==Syntax==
* <tt>C = ChoiMatrix(PHI)</tt>
* <tt>C = ChoiMatrix(PHI,SYS)</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>SYS</tt> (optional, default 2): The subsystem that <tt>PHI</tt> is applied to when constructing the Choi matrix.

==Examples==
===The transpose map===
The Choi matrix of the [[transpose]] map is the [[swap operator]], which is verified in the 2-dimensional case by the following code:
<pre<noinclude></noinclude>>
>> T = {[1 0;0 0],[1 0;0 0]';[0 1;0 0],[0 1;0 0]';[0 0;1 0],[0 0;1 0]';[0 0;0 1],[0 0;0 1]'};
>> ChoiMatrix(T)

ans =

1 0 0 0
0 0 1 0
0 1 0 0
0 0 0 1
</pre<noinclude></noinclude>>

@@ Line 3: / Line 3: @@
 |desc=Computes the [[Choi matrix]] of a [[superoperator]]
 |rel=[[KrausOperators]]
 |upd=January 21, 2013
-|v=1.01}}
+|v=0.50}}
 <tt>'''ChoiMatrix'''</tt> is a [[List of functions|function]] that computes the [[Choi matrix]] of a superoperator.
@@ Line 18: / Line 19: @@
 ===The transpose map===
 The Choi matrix of the [[transpose]] map is the [[swap operator]], which is verified in the 2-dimensional case by the following code:
-<pre<noinclude></noinclude>>
+<syntaxhighlight>
 >> T = {[1 0;0 0],[1 0;0 0]';[0 1;0 0],[0 1;0 0]';[0 0;1 0],[0 0;1 0]';[0 0;0 1],[0 0;0 1]'};
 >> ChoiMatrix(T)
@@ Line 28: / Line 29: @@
      1     0     0
      0     0     1
-</pre<noinclude></noinclude>>
+</syntaxhighlight>

@@ Line 1: / Line 1: @@
 {{Function
 |name=ChoiMatrix
-|desc=Computes the [[Choi matrix]] of a [[superoperator]]
+|desc=Computes the Choi matrix of a superoperator
 |rel=[[KrausOperators]]
 |cat=[[List of functions#Superoperators|Superoperators]]
-|upd=January 21, 2013
+|upd=November 24, 2014}}
-|v=0.50}}
+<tt>'''ChoiMatrix'''</tt> is a [[List of functions|function]] that computes the Choi matrix of a superoperator.
 ==Syntax==
@@ Line 13: / Line 12: @@
 ==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>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>SYS</tt> (optional, default 2): The subsystem that <tt>PHI</tt> is applied to when constructing the Choi matrix.
 ==Examples==
 ===The transpose map===
-The Choi matrix of the [[transpose]] map is the [[swap operator]], which is verified in the 2-dimensional case by the following code:
+The Choi matrix of the transpose map is the swap operator, which is verified in the 2-dimensional case by the following code:
 <syntaxhighlight>
 >> T = {[1 0;0 0],[1 0;0 0]';[0 1;0 0],[0 1;0 0]';[0 0;1 0],[0 0;1 0]';[0 0;0 1],[0 0;0 1]'};

ChoiMatrix - Revision history

Nathaniel at 02:27, 28 November 2014

Nathaniel at 15:20, 29 September 2014

Nathaniel: Uploaded v1.01 (fixed a bug when the input or output space isn't square)

Nathaniel: Created page with "{{Function |name=ChoiMatrix |desc=Computes the Choi matrix of a superoperator |req=ApplyMapidenMaxEntangledopt_args[[PermuteSys..."

Nathaniel: Created page with "{{Function |name=ChoiMatrix |desc=Computes the Choi matrix of a superoperator |req=ApplyMap
iden
MaxEntangled
opt_args
[[PermuteSys..."