  We have carried out the first systematic survey of the sub-millimeter
properties of broad absorption line (BAL) quasars. 30 BAL quasars drawn from a
homogeneously selected sample from the Sloan Digital Sky Survey at redshifts
2<z<2.6 were observed with the SCUBA array at the JCMT to a typical rms
sensitivity of 2.5 mJy. Eight quasars were detected at > 2 sigma significance,
four of which are at > 3 sigma significance. The far-infrared luminosities of
these quasars are > 10^{13} L_solar. There is no correlation of sub-millimeter
flux with either the strength of the broad absorption feature or with absolute
magnitude in our sample. We compare the sub-millimeter flux distribution of the
BAL quasar sample with that of a sample of quasars which do not show BAL
features in their optical spectra and find that the two are indistinguishable.
BAL quasars do not have higher sub-millimeter luminosities than non-BAL
quasars. These findings are consistent with the hypothesis that all quasars
would contain a BAL if viewed along a certain line-of-sight. The data are
inconsistent with a model in which the BAL phenomenon indicates a special
evolutionary stage which co-incides with a large dust mass in the host galaxy
and a high sub-millimeter luminosity. Our work provides constraints on
alternative evolutionary explanations of BAL quasars.
