Difference between revisions of "ChoiMatrix"

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(Created page with "{{Function |name=ChoiMatrix |desc=Computes the Choi matrix of a superoperator |req=ApplyMap<br />iden<br />MaxEntangled<br />opt_args<br />[[PermuteSys...")
 
(Uploaded v1.01 (fixed a bug when the input or output space isn't square))
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|name=ChoiMatrix
 
|name=ChoiMatrix
 
|desc=Computes the [[Choi matrix]] of a [[superoperator]]
 
|desc=Computes the [[Choi matrix]] of a [[superoperator]]
|req=[[ApplyMap]]<br />[[iden]]<br />[[MaxEntangled]]<br />[[opt_args]]<br />[[PermuteSystems]]
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|rel=[[KrausOperators]]
|upd=January 2, 2013
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|upd=January 21, 2013
|v=1.00}}
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|v=1.01}}
 
<tt>'''ChoiMatrix'''</tt> is a [[List of functions|function]] that computes the [[Choi matrix]] of a superoperator.
 
<tt>'''ChoiMatrix'''</tt> is a [[List of functions|function]] that computes the [[Choi matrix]] of a superoperator.
  

Revision as of 17:31, 21 January 2013

ChoiMatrix
Computes the Choi matrix of a superoperator

Other toolboxes required none
Related functions KrausOperators

ChoiMatrix is a function that computes the Choi matrix of a superoperator.

Syntax

  • C = ChoiMatrix(PHI)
  • C = ChoiMatrix(PHI,SYS)

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).
  • SYS (optional, default 2): The subsystem that PHI 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:

>> 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