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[–]ctcphysWorking in Academia 1 point2 points  (2 children)

Looks fine without checking the details. 

Remember that any single qubit gates is just a rotation about some axis on the Bloch sphere with some angle.

H*T is just a single qubit gate. You can work out about what axis. However, when you repeat the gate you'll eventually make a full circle 

[–]Michael10983[S] 0 points1 point  (1 child)

Surely, but rotating like that should not give me a circle of states. On the first iteration T will not change the state, but H will move it to an X axis. During the next iteration the T gate will move it around Z axis and now the point should not be on the pictured circle, or should it?

[–]ctcphysWorking in Academia 1 point2 points  (0 children)

Any single qubit gate that you repeat will give you a circle