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Performance Analysis of Reversible Full Adders in Noisy Intermediate Scale Quantum (NISQ) Devices

Joydeep Kundu, Prantik Paria, Rajjdeep Dey, Saptarshi Sengupta, Pritam Dey, Debkanta Pradhan, Chiradeep Mukherjee, Sayak Pramanik

Published Nov 29, 2022• 2 citations
Publisher
DOI
10.1007/978-981-19-5403-0_6

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With the rise of Noisy Intermediate-Scale Quantum (NISQ) computing, the selection of suitable adders becomes more crucial for optimizing quantum computations. The ripple carry adder (RCA) and carry lookahead adder (CLA) are fundamental quantum adder architectures, yet, their performance under NISQ environments remains to be largely unexplored. In this paper, we extensively compare the RCA and CLA designs through a systematic analysis in NISQ computing. Our results reveal that the proposed quantum RCA has a 29.7% lower error rate than the existing quantum CLA, highlighting the importance of simple exact quantum adder designs tailored for specific noisy quantum hardware constraints. These findings offer the crucial insights for designing efficient quantum algorithms and optimizing quantum circuits for practical NISQ systems.
Since the advent of quantum computing, the accuracy performance of quantum adders in Noisy Intermediate-Scale Quantum (NISQ) computing has received significant attention. This paper analyzes the accuracy of exact quantum adders in the NISQ environment. Our results show the impacts of noise vary significantly on the quantum circuits, reaching up to 86%, 0.23, and 0.66 in error rate (ER), normalized mean error distance (NMED), and mean relative error distance (MRED), respectively. Furthermore, the bitflip noise model impacts the greatest on quantum adders, showing, on average, 12.20, 11.30, and 11.62 times higher values in ER, NMED, and MRED, respectively. These findings highlight that the accuracy of exact quantum adders is affected by NISQ computing.