On a quantum causal stochastic double product integral related to Lévy area

Robin Hudson, Yuchen Pei

We study the family of causal double product integrals \begin{equation*} \prod_{a < x < y < b}\left(1 + i{λ\over 2}(dP_x dQ_y - dQ_x dP_y) + i {μ\over 2}(dP_x dP_y + dQ_x dQ_y)\rig…