Is there a theoretical limit on the smallest angle that can be used in a quantum rotation gate?

Question

Assuming ideal conditions and no error, what is the smallest $\theta>0$ that can be used in $R_x(\theta)$ or $R_y(\theta)$.

$\begingroup$ epsilon, of course! $\endgroup$ – Inertial Ignorance Oct 7 '19 at 8:27 — Inertial Ignorance, Oct 7 '19 at 8:27

Norbert Schuch · Accepted Answer · 2019-10-07 09:27:14Z

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Since your title asks "Is there a theoretical limit": No, there is no theoretical limit.

(And even if our gates in practice have some noise, we can use quantum error correction to perform gates to any desired accuracy.)

answered Oct 7 '19 at 9:27

Norbert Schuch

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