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The Journal of Supercomputing

Reversible and fault-tolerant Vedic multiplier with low quantum cost

Shekoofeh Moghimi, Negin Mashayekhi, Mohammad Reza Reshadinezhad

Published Nov 15, 2025• 1 citation
Publisher
DOI
10.1007/s11227-025-08056-2

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Reversible logic, by enabling computations without loss of information, offers a promising approach to significantly reducing energy dissipation, making it a key technology for low-power and quantum computing systems. Parity-preserving reversible circuits further enhance reliability, enabling fault detection in nanoscale systems. Multiplication, a fundamental operation in computing and signal processing, benefits significantly from efficient reversible designs. However, existing reversible Vedic multipliers often suffer from excessive Quantum Cost (QC), Garbage Outputs (GO), and Constant Inputs (CI). This paper proposes two new 2-bit parity-preserving reversible quantum Vedic multipliers, serving as the foundational block for scalable n-bit multipliers, that are enhanced to reduce quantum metrics without compromising performance. The proposed circuits are simulated using the Quirk tool to test their correct functionality. Comparative analysis shows that the best proposed design outperforms existing architectures on average by 34%, 53%, and 9% in constant inputs, garbage outputs, and quantum cost, respectively, providing a fault-tolerant, cost-efficient, and scalable solution for next-generation quantum computing systems.

International Conference on Computer and Knowledge Engineering•Oct 28, 2025•0 citations
Reversible logic, by enabling computations without loss of information, offers a promising approach to significantly reducing energy dissipation, making it a key technology for low-power and quantum computing systems. Parity-preserving reversible circuits further enhance reliability, enabling fault detection in nanoscale systems. Multiplication, a fundamental operation in computing and signal processing, benefits significantly from efficient reversible designs. However, existing reversible Vedic multipliers often suffer from excessive Quantum Cost (QC), Garbage Outputs (GO), and Constant Inputs (CI). This paper proposes two new 2-bit parity-preserving reversible quantum Vedic multipliers, serving as the foundational block for scalable n-bit multipliers, that are enhanced to reduce quantum metrics without compromising performance. The proposed circuits are simulated using the Quirk tool to test their correct functionality. Comparative analysis shows that the best proposed design outperforms existing architectures on average by 34%, 53%, and 9% in constant inputs, garbage outputs, and quantum cost, respectively, providing a fault-tolerant, cost-efficient, and scalable solution for next-generation quantum computing systems.