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