  Studying quantum correlations in the presence of loss is of critical
importance for the physical modeling of real quantum systems. Here, we
demonstrate the control of spatial correlations between entangled photons in a
photonic chip, designed and modeled using the singular value decomposition
approach. We show that engineered loss, using an auxiliary waveguide, allows
one to invert the spatial statistics from bunching to antibunching.
Furthermore, we study the photon statistics within the loss-emulating channel
and observe photon coincidences, which may provide insights into the design of
quantum photonic integrated chips.
