In IBM Quantum Docs, it is stated that a unitary matrix can be defined as

$U = \begin{bmatrix} \cos(\theta/2) & -e^{j\lambda}\sin(\theta/2) \\ e^{j\phi}\sin(\theta/2) & e^{j\lambda+j\phi}\cos(\theta/2)\end{bmatrix}$

In the case of a qubit, the values of $\theta, \phi, \&\ \lambda$ represent an angle on the x axis, z axis, and a phase shift. Is there any analog to this when defining a gate as a unitary matrix using these same parameters, and if so, how can it be visualized?

  • $\begingroup$ see quantumcomputing.stackexchange.com/q/2513/55, quantumcomputing.stackexchange.com/q/16533/55 $\endgroup$
    – glS
    Oct 12, 2022 at 6:40
  • $\begingroup$ Thank you. Trishant's comment in the first link was what I was looking for. I am not familiar with the rules of this site. Should I leave the post up or take it down because it is somewhat of a duplicate? $\endgroup$ Oct 13, 2022 at 3:21
  • $\begingroup$ These are called as Euler Angles by the way. $\endgroup$
    – RSW
    Oct 13, 2022 at 4:35
  • $\begingroup$ @SatvikDuddukuru no need to delete the question, I'll just close it as duplicate of that one $\endgroup$
    – glS
    Oct 13, 2022 at 20:08


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