7.31.3 Can you answer these questions?

7.31.3.1 Generate a normalized Haar-random vector

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=255675

What is the procedure to generate a random qutrit quantum state? 
That is, I want to generate a $3 \times 1$ vector $u$ such that $u$ is generated by a Haar random $3 \times 3$ unitary $U$ multiplied ... 
[linear-algebra] [random] [vector] [random-process] [random-matrix]
 

asked by BlackHat18 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=81568 1 vote

answered by thorimur https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=63584 0 votes

7.31.3.2 Matroids in Mathematica?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=255648

I can't seem to find a "standard" way to implement/manipulate matroids in Mathematica. (They do not seem to be included in Combinatorica, for instance, and googling has turned up nothing.) ... 
[combinatorics]
 

asked by zjs https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=75126 1 vote

7.31.3.3 FindInstance: How does it work for linear inequalities?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=255494

I have a set of linear inequalities, rational coefficients. 
When  FindInstance  returns  {} , does that really mean there is no ... 
[equation-solving] [inequalities]
 

asked by Joseph O'Rourke https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=194 1 vote