We report on an experiment to determine both the group and phase delays exp
erienced by orthogonally polarized photon pairs traveling through a birefri
ngent medium. Both types of delay are determined from the same set of coinc
idence-counting data. The experiment is based on an interference technique
using two-photon multipath indistinguishability to produce an interference
feature. Earlier work has shown that this interference feature can be used
to measure the group velocity of single-photon wave packets in dielectric m
edia. In the current: work, the two-photon interferometer has been modified
to produce an additional interference feature that is sensitive to the pha
se velocity of the light. We have used this technique to simultaneously mea
sure the group delay in crystal quartz with a precision of 0.1 fs and the p
hase delay with a precision of 8 attoseconds. Our analysis clarifies the ef
fects of group and phase delays and shows the unexpected result that disper
sive temporal broadening, which is well known to be canceled for the origin
al interferometer setup, is not canceled for this type of ''postponed compe
nsation'' interferometer.