This paper presents an optimized head-driven bi-directional parser designed to enhance machine translation from English to Indian languages, addressing the limitations of traditional lexicalized tree adjoining grammar (L-TAG) parsers. Through experimentation on a dataset of 15,000 sentences, the bi-directional approach demonstrated notable improvements in syntactic analysis and reduced parsing time compared to earlier methods. Additionally, the research indicates future potential for incorporating quantum computing techniques to further enhance parsing efficiency and accuracy.