The Wong-Zakai-Clifford Quantum Stochastic Integral

Using fermion martingale integrators, we construct quantum stochastic integrals in the plane; thus extending the Itô-Clifford theory to a two-parameter set-up and at the same time providing an extension of the classical stochastic integrals of the first and second type of Wong and Zakai to a non-commutative quantum context. It is shown that these non-commutative stochastic integrals are centred martingales and are mutually pairwise orthogonal.