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Acting scalar variables on matrices while creating density plots
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Hi, I am trying to make a density plot in Matlab. My problem is that I want to use some Hamiltonian,
H=a*kron(PauliX,PauliZ)+b*kron(PauliZ,PauliY)
and take the unitary evolution
U=expm(-i*H*t)
over some two qubit input state
rhoe=[0.5 0; 0 0.5]
rhon=[0.5 0; 0 0.5]
rhoin=kron(rhoe,rhon)
such that
rhoout=U*rhoin*U'
The variables in my density plot will be a, t and the value given in element 1,1 of rhoout. I want to be able to vary both a and t but I am having the problem that the matrix dimensions are wrong. Ideally, I would do a for loop for a=0:n and t=0:m but I don't know how to get this to work and also save the outputs of each rhoout. I have been trying to use the pcolor function but my problem is in getting a list of rhoout values. Can anyone tell me how I could go about coding this?
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