Tagged Questions
3
votes
3answers
160 views
How to randomly construct a square full-ranked matrix with low determinant?
How to randomly construct a square (1000*1000) full-ranked matrix with low determinant?
I have tried the following method, but it failed.
In MATLAB, I just use:
n=100;
A=randi([0 1], n, n);
while ...
0
votes
0answers
26 views
generating random density operators
A quantum (mixed or pure) state is a Hermitian, positive semi-definite operator with unit trace. I need to construct states by using available pseudo-random number generators (I personally use ...
0
votes
1answer
31 views
what should be the frequency distribution of the eigenvalues of a randomly generated hermitian matrix?
I'm getting the eigenvalues of a randomly generated hermitian matrix distributed like a normal probabilistic distribution(crowded in the middle values )
but my sir told me that it should be a ...
1
vote
1answer
52 views
How to prove that the expression E(z'Az) (for a random vector z) is …
I am looking to prove the following
Let $z$ be an $m\times$ 1 random vector with $E(z)=\mu$ and $\operatorname{Cov}(z)=V$ and let $A$
be an $m\times m$ non-stochastic matrix. Then the following ...
5
votes
2answers
184 views
Accessible Intro to Random Matrix Theory (RMT)
I read this fascinating article:
http://www.newscientist.com/article/mg20627550.200-enter-the-matrix-the-deep-law-that-shapes-our-reality.html
Unfortunately all the other papers I find googling are ...
