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IEEE International Conference on Electronics Information and Emergency Communication

A compact realization of a reversible quantum n-to-2n decoder

Nusrat Jahan Lisa, Hafiz Md. Hasan Babu

Published Nov 1, 2013• 5 citations
Publisher

Abstract

This paper presents a compact realization of quantum n-to-2ndecoder circuit, where n is the number of input bits. The proposed design of the quantum n-to-2ndecoder circuit shows that it is composed of the quantum 2-to-4 decoder circuit. We present a quantum 2-to-4 decoder circuit using quantum Peres gate and CNOT quantum gates. Finally, we show an algorithm to construct a compact n-to-2nquantum decoder circuit. Our circuit performs better than the existing ones, e.g., the proposed 3-to-8 quantum decoder circuit improves 15.6% on the number of quantum gates, delay, area and power, 66.67% on garbage outputs and 25% on constant inputs than the Existing Design-2. We also simulate the proposed quantum decoder using Microwind DSCH 2.7 which shows the functional correctness of the circuit.

DOI
10.1109/iceiec.2013.6835461

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This paper presents the quantum cost (QC), garbage output (GO) and constant input (CI) optimized 2:4 decoder using reversible logic gate. The proposed reversible circuit is design using existing reversible logic gate, such as reversible NOT gate, Feynman gate and Peres gate. The proposed decoder can be design using one Peres gate, one NOT gate and four Feynman gate. The QC, GO and CI of the proposed 2:4 decoder is 9, 0 and 2. Which is better w.r.t previously reported work. This is the first reversible 2:4 decoder circuit, which has `0' garbage output. The improvement % of QC, GO and CI are 0 - 74.28 %, 100 % and 33.33 - 75 %.
Abstract Decoder is a combinational logic circuit; it changes a code into a collection of signals. Decoder is incredibly important circuit employed in combinational logic. Reversible logic may be a new research area due to its reduction in power dissipation and lots of researchers proposed differing types of approaches to construct a quantum reversible decoder. In this paper we tried to design n to 2n reversible decoder using modified TOFFOLI reversible logic gates. We proposed 1 to 21, 2 to 22 and 3 to 23, 4 to 24 and 5 to 25 reversible decoder and analyzed its lead in respect of quantum cost and garbage output. We tried to propose an algorithm that helps to design n to 2n reversible decoder. All circuit of the decoder are tested by using IBM Quantum Experience circuit composer.
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Aim and Objective: This paper presents the quantum cost, garbage output, constant input and number of reversible gate optimized 2:4 decoder using 4×4 new reversible logic gate which is named as reversible decoder block or RD block. Method: The proposed block is implemented with a quantum circuit and quantum cost of the proposed RD block is 8. The proposed decoder can be designed using only one new proposed block. Results and Conclusion: The quantum cost, garbage output, constant input and gate number of the proposed 2:4 decoder is 9, 0, 2 and 1 which is better w.r.t previously reported work. The improvement % of quantum cost, garbage output, constant input and number of gates are 12.5 – 77.148 %, 100 %, 33.33 – 75 % and 0 – 85.71%.