We gave admin panel password to many employees of our company.
but created different users and different roles for each employee.
Is there any option to find out which "user" uploaded or edited a product.
No, not out of the box. This is a EE feature.
The alternative is, we (firegento, not me personally :)) just build a module for it: https://github.com/firegento/firegento-adminmonitoring