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math behind rotation gate

why is the rotation gate defined in an exponential format? You might just put it down to convenience. An equally valid definition would be $$ R_Z(\theta)=\cos\frac{\theta}{2}I-i\sin\frac{\theta}{2}Z, ...
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From Hamiltonian to the Pulse Sequence

There's a whole branch of physics/engineering called "optimal control theory" which gives you numerical routines for finding the best control sequences to achieve a particular unitary. ...
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Why Qiskit doesn't invert hard coded unitary matrix?

So I have finally have the time to check up with what I wrote in the comment, and what I commented is indeed the case. If I passed in the matrix $U = \begin{pmatrix} 1 & 0 & 0 & 0\\ 0 &...
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