Code

Eventually, I hope to provide some useful snippets of code that I have used in my research.

 
 

How to quantify MULTI-qubit Magic

via Convex Optimization of a Linear Program

Matlab code for calculating Robustness

The files Amat2.mat ,..., Amat5.mat correspond to the A matrices for the linear system Ax=b. Each column corresponds to a stabilizer state written in the Pauli operator basis. The same ordering should be used for decomposing a state rho as vector b. We use the ordering IIIII IIIIX IIIIY IIIIZ IIIXI IIIXX ..... ZZZZZ

The syntax for calculating robustness (assuming a working CVX [http://cvxr.com/cvx/] installation) is :

%n is one of {60,1080,36720,2423520}
cvx_begin
variable x(n)
minimize( norm( x, 1 ) )
subject to
A * x == b
cvx_end
robustness=cvx_optval;

Another option is to ask for a certificate, y, of optimality cvx_begin
variable x(n)
dual variable y;
minimize( norm( x, 1 ) )
subject to
y: A * x == b
cvx_end
robustness=cvx_optval;

 
LMS_talk-6.png

These files can be used to calculate “Stabilizer Extent”