T-count optimized quantum circuit designs for single-precision floating-point division

S. S. Gayathri, R. Kumar, Samiappan Dhanalakshmi, Gerard Dooly, Dinesh Babu Duraibabu

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number703
Pages (from-to)1-21
Number of pages21
JournalElectronics (Switzerland)
Volume10
Issue number6
DOIs
Publication statusPublished - 2 Mar 2021

Keywords

  • Fault-tolerant
  • Floating-point division
  • Quantum circuits
  • Qubits
  • T-count

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