New answers tagged universal-gates
3
votes
Which single-qubit mixed states work for magic state distillation?
I've not kept sufficiently up to date with the most recent literature, however, here are some partial results:
Along certain axes of the Bloch sphere, the divide between the octahedron and the ...
- 55.7k
1
vote
Are these gate sets proven to be not universal?
There is another way to see that CNOT+ $R_Y(\theta)$ is universal while CNOT+ $R_X(\theta)$ or CNOT+ $R_Z(\theta)$ is not. The general mathematical result says that one has to satisfy Theorem 3.1 of ...
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6
votes
Are these gate sets proven to be not universal?
I think the authors haven't tried to prove it, hence the formulation.
In fact, it is simple to see that $CX$ and $R_z(\theta)$ is not universal as both gates map computational basis states to ...
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