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

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 sing...

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Bibliographic Details
Main Authors: S. S. Gayathri, R. Kumar, Samiappan Dhanalakshmi, Gerard Dooly, Dinesh Babu Duraibabu
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Electronics
Subjects:
Online Access:https://www.mdpi.com/2079-9292/10/6/703
Description
Summary: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.
ISSN:2079-9292