Quantum computing requires a universal set of gate operations; regarding gates as rotations, any rotation angle must be possible. However a real device may only be capable of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mi>B</a:mi></a:mrow></a:math> bits of resolution, i.e., it might support only <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:msup><c:mn>2</c:mn><c:mi>B</c:mi></c:msup></c:math> possible variants of a given physical gate. Naive discretiza…