Quantum cellular automata (QCAs) are a promising alternative to traditional CMOS technology due to their lower power consumption and ability to function at the nanoscale. However, challenges such as fault tolerance and energy efficiency remain, especially for arithmetic circuits like multipliers. The Vedic multiplier, known for its reduced computational complexity, presents a valuable opportunity to address these issues. By implementing fault-tolerant mechanisms within the QCA architecture, we aim to improve the reliability and performance of n x n multipliers in critical applications, such as cryptography, signal processing, and neural network accelerators. The proposed Vedic multiplier is designed using a hybrid of Urdhva Tiryakbhyam Sutra (vertical and crosswise technique) and error-correcting QCA gates to ensure fault tolerance. The design is implemented in a hierarchical manner, utilizing optimized QCA logic gates to form the partial product generation and summation stages. Error detection and correction techniques, such as cellular redundancy and parity-based correction, are embedded within the architecture to ensure resilience against cell misalignment and tunneling errors. Power consumption is minimized by optimizing the layout to reduce wire crossings and cell interactions. The energy efficiency and fault tolerance of the design are evaluated using QCADesigner. Simulation results demonstrate that the proposed Vedic multiplier achieves a 30% reduction in power consumption compared to conventional QCA multiplier designs. Fault tolerance is improved, with the system being able to detect and correct up to 95% of single-cell faults during operation. The delay is minimized by 20%, ensuring high-speed performance. Additionally, the energy dissipation per computation is found to be 8.5 aJ (attojoules), making the design highly energy efficient for nanoscale applications. The proposed Robust and Energy-Efficient Fault-Tolerant n x n Vedic Multiplier offers significant improvements in power efficiency and fault tolerance, making it ideal for next-generation QCA-based systems. The Vedic multiplier's inherent simplicity, combined with advanced error correction mechanisms, enables reliable and high-performance multiplication operations at the nanoscale. These results highlight the potential of QCA for applications requiring energy-efficient and fault-resilient computing systems, such as cryptography, machine learning, and low-power IoT devices.
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