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...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-03-01
|
| Series: | Electronics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2079-9292/10/6/703 |
| _version_ | 1797540999263682560 |
|---|---|
| author | S. S. Gayathri R. Kumar Samiappan Dhanalakshmi Gerard Dooly Dinesh Babu Duraibabu |
| author_facet | S. S. Gayathri R. Kumar Samiappan Dhanalakshmi Gerard Dooly Dinesh Babu Duraibabu |
| author_sort | S. S. Gayathri |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T13:09:02Z |
| format | Article |
| id | doaj.art-cf583688c6bd484692f6149f40558d64 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-10T13:09:02Z |
| publishDate | 2021-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-cf583688c6bd484692f6149f40558d642023-11-21T10:53:22ZengMDPI AGElectronics2079-92922021-03-0110670310.3390/electronics10060703T-Count Optimized Quantum Circuit Designs for Single-Precision Floating-Point DivisionS. S. Gayathri0R. Kumar1Samiappan Dhanalakshmi2Gerard Dooly3Dinesh Babu Duraibabu4Department of Electronics and Communication Engineering, Faculty of Engineering and Technology, SRM Institute of Science and Technology, College of Engineering and Technology, SRM Nagar, Kattankulathur 603203, IndiaDepartment of Electronics and Communication Engineering, Faculty of Engineering and Technology, SRM Institute of Science and Technology, College of Engineering and Technology, SRM Nagar, Kattankulathur 603203, IndiaDepartment of Electronics and Communication Engineering, Faculty of Engineering and Technology, SRM Institute of Science and Technology, College of Engineering and Technology, SRM Nagar, Kattankulathur 603203, IndiaCentre for Robotics and Intelligent Systems, University of Limerick, V94 T9PX Limerick, IrelandCentre for Robotics and Intelligent Systems, University of Limerick, V94 T9PX Limerick, IrelandThe 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.https://www.mdpi.com/2079-9292/10/6/703quantum circuitsfloating-point divisionfault-tolerantT-countqubits |
| spellingShingle | S. S. Gayathri R. Kumar Samiappan Dhanalakshmi Gerard Dooly Dinesh Babu Duraibabu T-Count Optimized Quantum Circuit Designs for Single-Precision Floating-Point Division Electronics quantum circuits floating-point division fault-tolerant T-count qubits |
| title | T-Count Optimized Quantum Circuit Designs for Single-Precision Floating-Point Division |
| title_full | T-Count Optimized Quantum Circuit Designs for Single-Precision Floating-Point Division |
| title_fullStr | T-Count Optimized Quantum Circuit Designs for Single-Precision Floating-Point Division |
| title_full_unstemmed | T-Count Optimized Quantum Circuit Designs for Single-Precision Floating-Point Division |
| title_short | T-Count Optimized Quantum Circuit Designs for Single-Precision Floating-Point Division |
| title_sort | t count optimized quantum circuit designs for single precision floating point division |
| topic | quantum circuits floating-point division fault-tolerant T-count qubits |
| url | https://www.mdpi.com/2079-9292/10/6/703 |
| work_keys_str_mv | AT ssgayathri tcountoptimizedquantumcircuitdesignsforsingleprecisionfloatingpointdivision AT rkumar tcountoptimizedquantumcircuitdesignsforsingleprecisionfloatingpointdivision AT samiappandhanalakshmi tcountoptimizedquantumcircuitdesignsforsingleprecisionfloatingpointdivision AT gerarddooly tcountoptimizedquantumcircuitdesignsforsingleprecisionfloatingpointdivision AT dineshbabuduraibabu tcountoptimizedquantumcircuitdesignsforsingleprecisionfloatingpointdivision |