T Count Optimized Quantum Circuit Design to Perform Arithmetic Operations on Single Precision Floating Point Number

Abstract

Quantum computing is an emerging area of research that holds great promise for advances in a variety of fields, from materials science to medicine. In a quantum computer, information is processed using quantum bits, or qubits that can handle both pure states and superposition of states. Quantum arithmetic circuits are a powerful tool for solving complex mathematical problems that a classical computer cannot solve. As the qubits are extremely sensitive and fragile, it is important to develop a robust hardware block of the quantum computing devices. In particular, quantum gates are a vital part of any quantum circuits, and Clifford+T gates are the fault-tolerant gate sets which makes the quantum circuit hardware a fault-tolerant model. Quantum circuits based on Clifford+T gates is realized with the operating costs of T-gates, as they are exorbitant to implement, and an efficient quantum circuit can be designed by utilising the fewest number of T-gates count (TC) and T-depth (TD). Floating-point (FP) numbers ensure wide range and accurate precision of numbers representation. Hence, they are often used in scientific and engineering applications where precise calculations are required newline