The nonlocality inherent in quantum mechanics has been tested experime
ntally, but the nonlocal interpretation of all the relevant experiment
s can be challenged. All past tests of Bell's inequalities have requir
ed supplementary assumptions, without which the experimental results s
atisfy the inequalities, in agreement with the notion of local realism
. There are basically three loopholes that need to be closed; neither
the cascade sources nor the parametric down-conversion sources of corr
elation photons used to date are capable of closing all of them, even
if the detectors used had been 100% efficient. We propose a two-crysta
l down-conversion source, relying on type-II collinear phase matching,
which should permit a violation of Bell's inequalities without the ne
ed for supplementary assumptions. As the source can produce a true sin
gletlike state, it is also relevant for quantum cryptographic applicat
ions.