Difference between revisions of "ChoiMatrix"
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(Uploaded v1.01 (fixed a bug when the input or output space isn't square)) |
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|desc=Computes the [[Choi matrix]] of a [[superoperator]] | |desc=Computes the [[Choi matrix]] of a [[superoperator]] | ||
|rel=[[KrausOperators]] | |rel=[[KrausOperators]] | ||
| + | |cat=[[List of functions#Superoperators|Superoperators]] | ||
|upd=January 21, 2013 | |upd=January 21, 2013 | ||
| − | |v= | + | |v=0.50}} |
<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. | ||
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===The transpose map=== | ===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]'}; | >> 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) | >> ChoiMatrix(T) | ||
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0 1 0 0 | 0 1 0 0 | ||
0 0 0 1 | 0 0 0 1 | ||
| − | </ | + | </syntaxhighlight> |
| + | |||
| + | {{SourceCode|name=ChoiMatrix}} | ||
Revision as of 15:20, 29 September 2014
| ChoiMatrix | |
| Computes the Choi matrix of a superoperator | |
| Other toolboxes required | none |
|---|---|
| Related functions | KrausOperators |
| Function category | Superoperators |
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 1Source code
Click here to view this function's source code on github.