Difference between revisions of "SchmidtRank"
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(Created page with "{{Function |name=SchmidtRank |desc=Computes the Schmidt rank of a bipartite vector |req=opt_args |rel=SchmidtDecomposition<br />SchmidtNumber |upd=November...") |
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|name=SchmidtRank | |name=SchmidtRank | ||
|desc=Computes the [[Schmidt rank]] of a [[bipartite]] vector | |desc=Computes the [[Schmidt rank]] of a [[bipartite]] vector | ||
| − | |req=[[opt_args]] | + | |req=[[opt_args]]<br />[[sporth]] |
|rel=[[SchmidtDecomposition]]<br />[[SchmidtNumber]] | |rel=[[SchmidtDecomposition]]<br />[[SchmidtNumber]] | ||
| − | |upd=November | + | |upd=November 23, 2012 |
| − | |v=1. | + | |v=1.01}} |
| − | <tt>'''SchmidtRank'''</tt> is a [[List of functions|function]] that computes the Schmidt Rank of a [[bipartite]] vector. If the vector is full, the Schmidt rank is computed using MATLAB's <tt>[http://www.mathworks.com/help/matlab/ref/rank.html rank]</tt> function. If the vector is sparse, the Schmidt rank is computed using | + | <tt>'''SchmidtRank'''</tt> is a [[List of functions|function]] that computes the Schmidt Rank of a [[bipartite]] vector. If the vector is full, the Schmidt rank is computed using MATLAB's <tt>[http://www.mathworks.com/help/matlab/ref/rank.html rank]</tt> function. If the vector is sparse, the Schmidt rank is computed using the [http://en.wikipedia.org/wiki/QR_decomposition QR decomposition]. |
==Syntax== | ==Syntax== | ||
Revision as of 20:49, 23 November 2012
| SchmidtRank | |
| Computes the Schmidt rank of a bipartite vector | |
| Other toolboxes required | opt_args sporth |
|---|---|
| Related functions | SchmidtDecomposition SchmidtNumber |
SchmidtRank is a function that computes the Schmidt Rank of a bipartite vector. If the vector is full, the Schmidt rank is computed using MATLAB's rank function. If the vector is sparse, the Schmidt rank is computed using the QR decomposition.
Syntax
- RNK = SchmidtRank(VEC)
- RNK = SchmidtRank(VEC,DIM)
Argument descriptions
- VEC: A bipartite vector (e.g., a pure quantum state) to have its Schmidt rank computed.
- DIM (optional, by default has both subsystems of equal dimension): A 1-by-2 vector containing the dimensions of the subsystems that VEC lives on.
Examples
Please add examples here.