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International Journal Of Engineering And Computer Science

Design and Implementation of Vedic Algorithm using Reversible Logic Gates

Hemangi P. Patil

Published Aug 21, 2015• 0 citations
Publisher
DOI
10.18535/ijecs/v4i8.20

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Abstract Quantum computing has attracted increased attention in recent years owing to substantial advancements in quantum algorithms and system architecture. Quantum algorithms are implemented using quantum circuits. These circuits include an intrinsic reversibility and often have a substantial Boolean component that requires synthesis. A crucial characteristic of reversible circuits is the preservation of parity. Parity-preserving logic is a category that maintains the parity of both inputs and outputs, facilitating the detection of permanent and transient errors. Multiplier circuits are essential components in digital computing systems, playing a crucial role in the development of various hardware, including arithmetic circuits. This paper first introduces a novel block based on a transformationbased synthesis technique from the elementary quantum gates. Then it proposes a distinctive 2×2 parity-preserving reversible quantum Vedic multiplier based on the recommended block and prior gates. In addition, further designs of Vedic multipliers are provided, encompassing 4-bit, 8-bit, and 16-bit configurations. We illustrate that our design brings superior outcomes regarding quantum cost (QC), constant inputs (CI) count, CNOT-V/V + count, garbage outputs (GO) count, and gate count (GC) in comparison to earlier designs. This study achieves an average decrease of 23.09%, 37.51%, 37.51%, 54.89%, and 19.38% in QC, CI, GO, GC, and CNOT-V/V + count, respectively. Furthermore, all suggested circuits undergo appraisal and validation within the IBM quantum laboratory.
Reversible logic has potential for a variety of applications demanding low energy usage since it prevents information loss and energy waste. The purpose of this work is to design a new Vedic divider circuit with reversible gates. Efficiency in quantum and ASIC parameters is demonstrated by the Reversible Direct Flag Vedic Division Method (RDFVDM), which has been devised. Block-level reversible gates are used in the RDFVDM to provide benefits including lower quantum costs and less trash outputs. The performance of Cadence EDA Tool is validated by simulation trials. Based on a comparative examination utilizing current methodologies, RDFVDM performs better than comparable designs. Interestingly, it improves energy usage by 26%. Moreover, RDFVDM performs exceptionally well in terms of quantum cost while employing the RSA cryptographic technique, efficiently managing 1276,293 constant inputs and 311 garbage outputs.