This paper proposes an inexact Baugh-Wooley Wallace tree multiplier with novel architecture for 4:2 compressor optimised realisation using reversible logic. The proposed has ±1 Error Distance (ED) and 12.5% Rate (ER). efficacy of the logic based is measured in scales Gate Count (GC), Quantum Cost (QC), Garbage Output (GO) Ancilla Input (AI). able to reduce metrics GC, QC, GO AI by 50%, 15%, 25%...