T-Count Optimized Quantum Circuit Designs for Single-Precision Floating-Point Division
S. S. Gayathri, R. Kumar, Samiappan Dhanalakshmi, Gerard Dooly, Dinesh Babu Duraibabu · Electronics · 2021
The implementation of quantum computing processors for scientific applications includes quantum floating points circuits for arithmetic operations. This work adopts the standard division algorithms for floating-point numbers with restoring, non-restoring, and Goldschmidt division algorithms for single-precision inputs. The design proposals are carried out while using the quantum Clifford+T gates set, and resource estimates in terms of numbers of qubits, T-count, and T-depth are provided for the proposed circuits. By improving the leading zero detector (LZD) unit structure, the proposed division circuits show a significant reduction in the T-count when compared to the existing works on floating-point division.