Fault‐tolerant quantum implementation of conventional decoder logic with enable input

Abstract Decoherence is the greatest obstacle to the physical realization of scalable quantum computer, jeopardises coherent superposition of the qubit, and makes qubit extremely fragile. Quantum Error Correction Code (QECC), and Fault‐tolerant quantum computation collectively could protect qubit an...

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Main Authors: Laxmidhar Biswal, Bappaditya Mondal, Hafizur Rahaman
Format: Article
Language:English
Published: Wiley 2021-08-01
Series:IET Circuits, Devices and Systems
Subjects:
Online Access:https://doi.org/10.1049/cds2.12036
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author Laxmidhar Biswal
Bappaditya Mondal
Hafizur Rahaman
author_facet Laxmidhar Biswal
Bappaditya Mondal
Hafizur Rahaman
author_sort Laxmidhar Biswal
collection DOAJ
description Abstract Decoherence is the greatest obstacle to the physical realization of scalable quantum computer, jeopardises coherent superposition of the qubit, and makes qubit extremely fragile. Quantum Error Correction Code (QECC), and Fault‐tolerant quantum computation collectively could protect qubit and improve scalability. On the other hand, the conventional logic circuit is no more useful in quantum computing due to much difference from quantum logic. However, quantum computer has to perform classical tasks which can be addressed by translating to its equivalent quantum algorithm. Herein, zero‐garbage‐based reversible and fault‐tolerant quantum circuit for 1 : 2, and 2 : 4 Decoder with enable signal using Clifford + T‐group are proposed. Further, the design approach to implement n : 2n decoder on fault‐tolerant quantum logic in linear T − depth is extended. Besides, performance parameters likely T − count, T − depth, and garbage output have been evaluated for n : 2n decoder.
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spelling doaj-art-2b2d939b35a94f369e6b3e6939e6a72d2025-08-20T02:04:11ZengWileyIET Circuits, Devices and Systems1751-858X1751-85982021-08-0115541542310.1049/cds2.12036Fault‐tolerant quantum implementation of conventional decoder logic with enable inputLaxmidhar Biswal0Bappaditya Mondal1Hafizur Rahaman2School of VLSI Technology IIEST, ShibpurDeptartment of Information Technology IIEST, ShibpurSchool of VLSI Technology IIEST, ShibpurAbstract Decoherence is the greatest obstacle to the physical realization of scalable quantum computer, jeopardises coherent superposition of the qubit, and makes qubit extremely fragile. Quantum Error Correction Code (QECC), and Fault‐tolerant quantum computation collectively could protect qubit and improve scalability. On the other hand, the conventional logic circuit is no more useful in quantum computing due to much difference from quantum logic. However, quantum computer has to perform classical tasks which can be addressed by translating to its equivalent quantum algorithm. Herein, zero‐garbage‐based reversible and fault‐tolerant quantum circuit for 1 : 2, and 2 : 4 Decoder with enable signal using Clifford + T‐group are proposed. Further, the design approach to implement n : 2n decoder on fault‐tolerant quantum logic in linear T − depth is extended. Besides, performance parameters likely T − count, T − depth, and garbage output have been evaluated for n : 2n decoder.https://doi.org/10.1049/cds2.12036decodingerror correction codeslogic circuitslogic designquantum computingquantum gates
spellingShingle Laxmidhar Biswal
Bappaditya Mondal
Hafizur Rahaman
Fault‐tolerant quantum implementation of conventional decoder logic with enable input
IET Circuits, Devices and Systems
decoding
error correction codes
logic circuits
logic design
quantum computing
quantum gates
title Fault‐tolerant quantum implementation of conventional decoder logic with enable input
title_full Fault‐tolerant quantum implementation of conventional decoder logic with enable input
title_fullStr Fault‐tolerant quantum implementation of conventional decoder logic with enable input
title_full_unstemmed Fault‐tolerant quantum implementation of conventional decoder logic with enable input
title_short Fault‐tolerant quantum implementation of conventional decoder logic with enable input
title_sort fault tolerant quantum implementation of conventional decoder logic with enable input
topic decoding
error correction codes
logic circuits
logic design
quantum computing
quantum gates
url https://doi.org/10.1049/cds2.12036
work_keys_str_mv AT laxmidharbiswal faulttolerantquantumimplementationofconventionaldecoderlogicwithenableinput
AT bappadityamondal faulttolerantquantumimplementationofconventionaldecoderlogicwithenableinput
AT hafizurrahaman faulttolerantquantumimplementationofconventionaldecoderlogicwithenableinput