  By using a physically-relevant and theory independent definition of
measurement-based equilibration, we show quantitatively that equilibration is
easier for quantum systems than for classical systems, in the situation where
the initial state of the system is completely known (pure state). This shows
that quantum equilibration is a fundamental, nigh unavoidable, aspect of
physical systems, while classical equilibration relies on experimental
ignorance. When the state is not completely known, a mixed state, this
framework also shows quantum equilibration requires weaker conditions.
