To realize the full potential of colloidal quantum dot (CQD) based solar cells, it is important to address the issue of large open circuit voltage (VOC) deficit which is a major roadblock in reaching higher efficiencies. The origin of the VOC deficit in these solar cells lies primarily in the presence of sub-bandgap trap states of the QDs. Here, we present a synergistic engineering framework to passivate these sub-bandgap states in PbS QDs through chemical surface passivation and remote passivation exploiting ligand and architecture engineering. In particular we form bulk nano-heterojunctions (BNH) by mixing PbS QDs with ZnO nanocrystals in conjunction with mixed ligand treatments to passivate surface traps. We employ the mixed ligand system of zinc iodide and 3-mercatopropyonic acid (MPA) to leverage the benefits of both organic and inorganic ligands for surface passivation and improved charge transport. This mixed ligand treatment in BNH architectures leads to record low Voc deficit for PbS QDs of 0.4 V -0.55 V compared to previously reported 0.6 -0.8 V for the range of 1.1 -1.35 eV bandgap PbS QDs. In summary, we have presented a methodology to reduce the VOC deficit PbS QD based solar cells. The mixed ligand treatment on the BNH reduces the VOC deficit as well as increases the current density compared to previously reported MPA treated BNH devices. Improved VOC, FF and JSC ultimately increases the device efficiency by 46% (5.2% to 7.6%). It should be noted that the bilayer devices that employ the mixed ligand treatment have thus far achieved higher PCE (of 9.9%) compared to the BNH reported herein, yet their Voc is lowered by 50 -60 mV compared to the BNH devices. This is due to the yet to be optimized charge transport along the ZnO percolation path in the BNH devices and our work points to the use of appropriate ligand treatments that have the potential to improve this further. The use of the ZnI2 in combination with MPA has resulted in a significant improvement in that aspect over the prior reports of MPA treated BNH devices and further progress can be expected by further optimization along this front. We have also presented a series of different characterizations to prove the role of BNH in trap passivation and hence lowering VOC deficit in case of PbS QD based solar cells.Although, this is a significant step towards producing high efficiency PbS solar cells with high VOC, the incorporation of ZnO inside the PbS QD matrix affects the optical absorption as well as the charge transport. Addressing these challenges can pave the way for high efficiency PbSQDs with even lower VOC deficit.