Parametric Block Diagonal Matrix Unable to perform assignment because the size of the left side is 4-by-4 and the size of the right side is

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Gözde Üstün
Gözde Üstün 2020-6-26
编辑： Gözde Üstün 2020-6-26
Hello,
I have this code:
function [A,B] = CH2d(d)
A=zeros(d,d,2,d);
B=A;
projectors_of_sigma_x = [1/sqrt(2)*[1;1],1/sqrt(2)*[1;-1]];
projectors_of_sigma_x_plus_sigma_z = [[(sqrt(2)+1);1],[(-sqrt(2)+1);1]];
for k = 1:d
for l =1:d
% if d > 2
% A(:,:,1,k) = blkdiag(A(:,:,1,k));
% B(:,:,1,k) = blkdiag(B(:,:,1,k));
% end
A(:,:,1,k)=repmat(projectors_of_sigma_x(:,k),1,d);
B(:,:,1,k)=repmat(projectors_of_sigma_x_plus_sigma_z(:,k),1,d);
end
end
end
For d = 2 everything is perfect but if d bigger than 2 and d is even the output should be block diagonal matrix. So I added these script in the code:
if d > 2
A(:,:,1,k) = blkdiag(A(:,:,1,k));
B(:,:,1,k) = blkdiag(B(:,:,1,k));
end
But this time I have this error:
Unable to perform assignment because the size of the left side is 4-by-4 and the size of the right side is 2-by-4.
Error in CH2d (line 16)
A(:,:,1,k)=repmat(projectors_of_sigma_x(:,k),1,d);
How can I solve this problem? I think I need a new variable or I dont know

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