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- Title
T-count optimized quantum circuit for floating point addition and multiplication.
- Authors
Gayathri, S. S.; Kumar, R.; Dhanalakshmi, Samiappan; Kaushik, Brajesh Kumar
- Abstract
Quantum computers perform computations using quantum-mechanical phenomena such as superposition and entanglement. Floating-point operations are employed in almost all conventional digital signal processors which evinces that floating-point numbers can be a viable candidate to be deployed with quantum information processing systems. In this paper, a T-count and T-depth optimized quantum floating-point addition and multiplication circuit are proposed. This work centers around improving the current structures of multi-qubit magnitude comparator, subtractor, leading zero detector, and reduces T-count and T-depth use by huge sum when contrasted with the existing works. The whole architecture of the quantum floating-point adder and multiplier is constructed using the aforementioned primary structures. The proposed quantum floating-point adder offers a T-count savings of 92.79 % over the existing work and T-depth improvement over 49.03 % and 85.69 % over the existing works by Nguyen and Van Meter (A space-efficient design for reversible floating point adder in quantum computing. arXiv:1306.3760) and Haener et al. (in: International conference on reversible computation, Springer, pp 162–174, 2018) respectively. The proposed structure shows an improvement of 82.74 % and 71.58 % in circuit size KQ reported in Nguyen and Van Meter and Haener et al. (2018) respectively despite quite larger ancilla than the hand-optimized circuit by Haener et al. (2018). The T-count and T-depth improvement of the proposed floating-point multiplier is around 93.87 % and circuit size KQ improvement is around 78.49 % than the existing quantum floating point circuit.
- Subjects
CIRCUIT complexity; QUANTUM computing; INFORMATION storage &; retrieval systems; DIGITAL signal processing; QUANTUM computers; COUNTING
- Publication
Quantum Information Processing, 2021, Vol 20, Issue 11, p1
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-021-03296-6