Some more information:
QUAD is the abbreviation of quadrat. It comes from quadratus in Latin (Merriam-Webster).
\quad and \qquad are macros defined by (La)TeX kernel:
\def\quad{\hskip1em\relax}
\def\qquad{\hskip2em\relax}
For TeXicians, the unit “em” is one of the font dimensions. Say, \fontdimen6 of a font in TeX. It originally means the width of capital letter M in a font (see Wikipedia), but it is not always true in practice.
The font dimensions in TeX and the \fontdimen command is described in “Appendix F: Font Tables” in The TeXbook, and “Appendix F: Font Metric Information” in The METAFONTbook.
You can define a macro equivalent to \quad like this:
\def\myQuad{\hskip\fontdimen6\font}
and of course a \qquad doubles \quad:
\def\myQQuad{\hskip2\fontdimen6\font}
It would be even better if there was an "all-TeX-package command dictionary".
– Leonardo Castro Jan 25 '16 at 14:15