How do I create a density plot?
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Hi, I'm trying to make a density plot using pcolor that shows we1 on one axis, t on the other and the colour map as the trace distance between the matrices I've defined. I just want to produce a list of values for varying we1 and t but I get the error:
Error using * Inner matrix dimensions must agree.
Error in Untitled8 (line 16) H1=we1*kron(PauliX,eye(2))+A1*(kron(PauliX,PauliX)+kron(PauliY,PauliY)+kron(PauliZ,PauliZ));
How should I do this differently?
n=0.1;
we1=0:0.001:n;
m=500;
t=0:m;
A1=0.00448;
PauliX=[0 1; 1 0];
PauliY=[0 -1i; 1i 0];
PauliZ=[1 0; 0 -1];
rhoE=[0.5 + 0.115047 0.564418 - 0.0959956*1i; 0.564418 + 0.0959956*1i 0.5 - 0.115047];
rhoN=[0.5 0; 0 0.5];
rhoEN=kron(rhoE,rhoN);
SWAP=[1 0 0 0; 0 0 1 0; 0 1 0 0; 0 0 0 1];
for i=1:length(t)
for j=0:length(we1)
H1=we1.*kron(PauliX,eye(2))+A1*(kron(PauliX,PauliX)+kron(PauliY,PauliY)+kron(PauliZ,PauliZ));
U1=expm(-1i*H1*t);
rhoENout=U1*rhoEN*U1';
USWAP=expm(-1i*SWAP*t);
SWAPout=USWAP*rhoEN*USWAP';
tdSWAPEN1=(rhoENout-SWAPout)^2;
tdSWAPEN2=sqrt(sum(tdSWAPEN1(:)));
end
end
X=we1;
Y=t;
C=tdSWAPEN2;
pcolor(X,Y,C)
axis equal tight
2 Comments
Dan Gianotti
on 4 Aug 2017
Edited: Dan Gianotti
on 4 Aug 2017
I haven't looked too closely at what you're trying to do, but at least one problem is in this part:
we1.*kron(PauliX,eye(2))
since size(we1) is [1,101] and size(kron(...)) is [4,4].
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