It is difficult to offer something without seeing your actual comparisons. Based on your explanation and assuming that both conditions and conditionState are displayed as many-to-one, you should write something like:
final DetachedCriteria criteriaObjective =
DetachedCriteria.forClass(Objective.class);
criteriaObjective
.createCriteria("condition", Criteria.LEFT_JOIN)
.createCriteria("conditionState", Criteria.LEFT_JOIN)
.add(Restrictions.eq("personid", "XXXX") );
criteriaObjective.add(Restrictions.eqProperty("toto_id", "YYYY") );
, SQL, , "personid" WHERE. , API - HQL, :
select o from objective as o
left join o.condition as c
left join c.conditionState as cs
with cs.person_id = 'XXXX'
and o.toto_id = 'YYYY'