si·ne qua non (sĭn'ĭ kwä nŏn', nōn', sī'nĭ, kwā) n. An essential element or condition: "The perfect cake is the sine qua non of the carefully planned modern wedding"(J.M. Hilary).
[Late Latin sine quā (causā) nōn, without which (cause) not : Latin sine, without + Latin quā : ablative of quī, which, what, who + Latin nōn, not.]
An essential element or condition, as in A perfect cake is the since qua non of a birthday party. This phrase is Latin for "without which not" and has been used in English since about 1600. It appears more in writing than in speech.