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4 votes

Represent Hadamard gate in terms of rotations and reflections in Bloch sphere

The Hadamard gate is a $\pi$ rotation about the diagonal axis in the XZ-plane. It is not a $\pi/2$ rotation about the $y$ axis. This can be easily seen from the fact that the Hadamard squares to the ...
Norbert Schuch's user avatar
9 votes

Represent Hadamard gate in terms of rotations and reflections in Bloch sphere

but how about γ? Gamma doesn't show up on the Bloch sphere. It's a global phase. It's unobservable without conditioning the operation on a second qubit, in which case it turns into phase kickback ...
Craig Gidney's user avatar
  • 37.9k
1 vote

What's the result of applying a CNOT gate followed by a Hadamard?

Your calculations are correct. Make the following three observations: $|\psi\rangle=|{++}\rangle$, $X|+\rangle=|+\rangle$, so $\text{CNOT}|{++}\rangle=|{++}\rangle$, $H|{+}\rangle=|0\rangle$. ...
Adam Zalcman's user avatar
  • 22.9k
1 vote

What's the result of applying a CNOT gate followed by a Hadamard?

Your formuals are correct 💯 It is also makes sense as if you would apply the reverse order on the output, you will get the input mentioned
Ron Cohen's user avatar
  • 1,482

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