ba60f6118d1e33cbb5-7396 20240127021755158 beie:beie director@blueeyesintelligence.org WEB-FORM International Journal of Innovative Technology and Exploring Engineering IJITEE 22783075 10.35940/ijitee https://www.ijitee.org/ 01 30 2024 13 2 School of Electronics Engineering, Vellore Institute of Technology, Chennai (Tamil Nadu), India. Aravind Joshi Akshara Kairali School of Electronics Engineering, Vellore Institute of Technology, Chennai (Tamil Nadu), India. Renju Raju School of Electronics Engineering, Vellore Institute of Technology, Chennai (Tamil Nadu), India. Adithya Athreya School of Electronics Engineering, Vellore Institute of Technology, Chennai (Tamil Nadu), India. Reena Monica P https://orcid.org/0000-0002-8202-4027 School of Electronics Engineering, Vellore Institute of Technology, Chennai (Tamil Nadu), India. Quantum computing is an emerging technology in which quantum mechanical properties are suitably utilized to perform certain compute-intensive operations faster than classical computers. Quantum algorithms are designed as a combination of quantum circuits that each require a large number of quantum gates, which is a challenge considering the limited number of qubit resources available in quantum computing systems. Our work proposes a technique to optimize quantum arithmetic algorithms by reducing the hardware resources and the number of qubits based on ZX calculus. We have utilized ZX calculus rewrite rules for the optimization of fault-tolerant quantum multiplier circuits where we are able to achieve a significant reduction in the number of ancilla bits and T-gates as compared to the originally required numbers to achieve fault-tolerance. Our work is the first step in the series of arithmetic circuit optimization using graphicalrewrite tools and it pavesthe way for advancing the optimization of various complex quantum circuits and establishing the potential for new applications of the same. 01 30 2024 26 31 CC-BY-NC-ND 4.0 10.35940/BEIESP.CrossMarkPolicy www.ijitee.org true International Journal of Innovative Technology and Exploring Engineering (IJITEE) No, I did not receive. No conflicts of interest to the best of our knowledge. No, the article does not require ethical approval and consent to participate with evidence. Not relevant. Reena Monica P conceived the idea, proposed, and reviewed the work. Aravind Joshi, Akshara Kairali, Renju Raju and Adithya Athreya carried out the work and documented the initial draft. Adithya Athreya perfected the manuscript based on the reviewers’ comments. 10.35940/ijitee.B9794.13020124 https://www.ijitee.org/portfolio-item/B979413020124/