T-Count Optimized Quantum Circuit Designs for Single-Precision Floating-Point Division

• Published in: Electronics (Basel) Vol. 10; no. 6; p. 703
• Main Authors: Gayathri, S. S., Kumar, R., Dhanalakshmi, Samiappan, Dooly, Gerard, Duraibabu, Dinesh Babu
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 17.03.2021
• Subjects: Algorithms; Circuit design; Circuits; Computers; Decomposition; Design; Division; Floating point arithmetic; Gates (circuits); Multiplication & division; Noise; Quantum computing; Qubits (quantum computing); Sensors
• ISSN: 2079-9292; 2079-9292
• DOI: 10.3390/electronics10060703

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.