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I'm new at QC, and one of the Qiskit quick exercises asks me to plot this ($j$ is the imaginary unit):
$\frac{1}{\sqrt{2}} \begin{bmatrix} j\\1\end{bmatrix}$, so I deduced $\alpha=j$ and beta= 1.

I know this is the equation: $|q\rangle = \cos{\frac{\theta}{2}} |0\rangle + e^{j\phi}\sin{\frac{\theta}{2}} |1\rangle$

I don't know how to plot it, any help would be appreciated, thanks.

EDIT: I'm sorry, I did miss a lot of details in my question, I've already plotted 1, 2, 3, and 4 from the quick exercise. I just don't have a clue how to convert #5 to spherical coordinates in order to plot it.

Quick Exercises

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  • $\begingroup$ can you provide the exercises link, or explain more what you want to visualize, there is a lot of visualize method, you can take at look here qiskit.org/documentation/apidoc/… $\endgroup$
    – poig
    Commented Jun 17, 2022 at 9:29
  • $\begingroup$ I just edit my answer $\endgroup$
    – poig
    Commented Jun 18, 2022 at 5:42
  • $\begingroup$ accept the answer will help a lot thank you $\endgroup$
    – poig
    Commented Jun 18, 2022 at 20:15

1 Answer 1

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I suggest you can learn to look at Qiskit documentation, and figuring out how to solve the exercises by yourself.
https://qiskit.org/documentation/apidoc/visualization.html

This is the way how I do the 5

from qiskit import QuantumCircuit
from qiskit.visualization import array_to_latex
qc = QuantumCircuit(1)
initi_ = np.array([0.+1j, 1+0.j])/np.sqrt(2)
display(array_to_latex(initi_))
qc.initialize(initi_,0)
state = Statevector.from_instruction(qc)
plot_bloch_multivector(state)

enter image description here
enter image description here
so I know it is:

plot_bloch_vector([1,np.pi/2,np.pi*3/2], title="New Bloch Sphere", coord_type = 'spherical')
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