Difference between revisions of "Tensor"
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{{Function | {{Function | ||
| − | |name= | + | |name=Tensor |
|desc=[[Kronecker product|Kronecker tensor product]] of two or more matrices | |desc=[[Kronecker product|Kronecker tensor product]] of two or more matrices | ||
|upd=November 27, 2012 | |upd=November 27, 2012 | ||
|v=1.00}} | |v=1.00}} | ||
| − | <tt>''' | + | <tt>'''Tensor'''</tt> is a [[List of functions|function]] that produces the [[Kronecker product|Kronecker (tensor) product]] of two or more matrices, and thus extends MATLAB's built-in [http://www.mathworks.com/help/matlab/ref/kron.html kron] function. |
==Syntax== | ==Syntax== | ||
| − | * <tt>KRN = | + | * <tt>KRN = Tensor(A)</tt> |
| − | * <tt>KRN = | + | * <tt>KRN = Tensor(A,M)</tt> |
| − | * <tt>KRN = | + | * <tt>KRN = Tensor(A,B,C,...)</tt> |
==Argument descriptions== | ==Argument descriptions== | ||
| Line 21: | Line 21: | ||
<pre<noinclude></noinclude>> | <pre<noinclude></noinclude>> | ||
>> rho = [[WernerState|WernerState(3,1/2,1)]]; | >> rho = [[WernerState|WernerState(3,1/2,1)]]; | ||
| − | >> rho6 = | + | >> rho6 = Tensor(rho,6); |
</pre<noinclude></noinclude>> | </pre<noinclude></noinclude>> | ||
Note that <tt>rho6</tt> is a 531441-by-531441 matrix, so we don't display it here. | Note that <tt>rho6</tt> is a 531441-by-531441 matrix, so we don't display it here. | ||
Revision as of 15:25, 28 November 2012
| Tensor | |
| Kronecker tensor product of two or more matrices | |
| Other toolboxes required | none |
|---|---|
Tensor is a function that produces the Kronecker (tensor) product of two or more matrices, and thus extends MATLAB's built-in kron function.
Syntax
- KRN = Tensor(A)
- KRN = Tensor(A,M)
- KRN = Tensor(A,B,C,...)
Argument descriptions
- A: If A is a cell, the KRN is the Kronecker product of all matrices within A.
- M (optional): A scalar indicating how many times A should be tensored with itself (if M is provided, A must be a matrix).
- B,C,... (optional): Matrices. If these are provided, then A must be a matrix, and the output is $A \otimes B \otimes C \otimes \cdots$.
Examples
Multiple copies of Werner states
When investigating the NPPT bound entanglement conjecture, you may want to tensor Werner states with themselves multiple times. The following code tensors a particular Werner state with itself 6 times:
>> rho = WernerState(3,1/2,1); >> rho6 = Tensor(rho,6);
Note that rho6 is a 531441-by-531441 matrix, so we don't display it here.