Quantum Probability for Probabilists In recent years the classical theory of stochastic integration and stochastic differential equations has been extended to a non commutative set up to develop models for quantum noises. The author a specialist of classical stochastic calculus and martingale theory tries to provide anintroduction to this rapidly expanding field in a way which should be accessible to probabilists familiar with the Ito integral. It can also on the other hand provide a means of access to the methods of stochastic calculus for physicists familiar with Fock space analysis