Implementation of quantum rotation gates using controlled non-adiabatic evolutions

Quantum gates are the basic building blocks in the quantum circuits model. These gates can be implemented using adiabatic or non adiabatic processes. Adiabatic models can be controlled using auxiliary qubits, whereas non adiabatic models can be simplified by using one single-shot implementation....

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Main Authors: Abdelrahim, Abdelrahman A. H, Mahmoud Ahmed, Gharib Subhi, Turaev, Sherzod, Az Eddine, Messikh
Format: Article
Language:English
Published: World Academy of Science, Engineering and Technology ( WASET ) 2018
Subjects:
Online Access:http://irep.iium.edu.my/63771/
http://irep.iium.edu.my/63771/1/Implementation-of-Quantum-Rotation-Gates-Using-Controlled-Non-Adiabatic-Evolutions.pdf
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author Abdelrahim, Abdelrahman A. H
Mahmoud Ahmed, Gharib Subhi
Turaev, Sherzod
Az Eddine, Messikh
author_facet Abdelrahim, Abdelrahman A. H
Mahmoud Ahmed, Gharib Subhi
Turaev, Sherzod
Az Eddine, Messikh
author_sort Abdelrahim, Abdelrahman A. H
building IIUM Repository
collection Online Access
description Quantum gates are the basic building blocks in the quantum circuits model. These gates can be implemented using adiabatic or non adiabatic processes. Adiabatic models can be controlled using auxiliary qubits, whereas non adiabatic models can be simplified by using one single-shot implementation. In this paper, the controlled adiabatic evolutions is combined with the single-shot implementation to obtain quantum gates with controlled non adiabatic evolutions. This is an important improvement which can speed the implementation of quantum gates and reduce the errors due to the long run in the adiabatic model. The robustness of our scheme to different types of errors is also investigated. Keywords—Adiabatic evolutions, non adiabatic evolutions, controlled adiabatic evolutions, quantum rotation gates, dephasing rates, master equation.
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publishDate 2018
publisher World Academy of Science, Engineering and Technology ( WASET )
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spelling iium-637712018-05-22T03:42:25Z http://irep.iium.edu.my/63771/ Implementation of quantum rotation gates using controlled non-adiabatic evolutions Abdelrahim, Abdelrahman A. H Mahmoud Ahmed, Gharib Subhi Turaev, Sherzod Az Eddine, Messikh QC Physics Quantum gates are the basic building blocks in the quantum circuits model. These gates can be implemented using adiabatic or non adiabatic processes. Adiabatic models can be controlled using auxiliary qubits, whereas non adiabatic models can be simplified by using one single-shot implementation. In this paper, the controlled adiabatic evolutions is combined with the single-shot implementation to obtain quantum gates with controlled non adiabatic evolutions. This is an important improvement which can speed the implementation of quantum gates and reduce the errors due to the long run in the adiabatic model. The robustness of our scheme to different types of errors is also investigated. Keywords—Adiabatic evolutions, non adiabatic evolutions, controlled adiabatic evolutions, quantum rotation gates, dephasing rates, master equation. World Academy of Science, Engineering and Technology ( WASET ) 2018 Article PeerReviewed application/pdf en http://irep.iium.edu.my/63771/1/Implementation-of-Quantum-Rotation-Gates-Using-Controlled-Non-Adiabatic-Evolutions.pdf Abdelrahim, Abdelrahman A. H and Mahmoud Ahmed, Gharib Subhi and Turaev, Sherzod and Az Eddine, Messikh (2018) Implementation of quantum rotation gates using controlled non-adiabatic evolutions. World Academy of Science, Engineering and Technology, 12 (1). pp. 12-16. ISSN 2010-376X E-ISSN 2010-3778 https://waset.org/Publications?q=Implementation+of+quantum+rotation+gates+using+controlled+non-adiabatic+evolutions&search=Search 10.1999/1307-6892/10008506
spellingShingle QC Physics
Abdelrahim, Abdelrahman A. H
Mahmoud Ahmed, Gharib Subhi
Turaev, Sherzod
Az Eddine, Messikh
Implementation of quantum rotation gates using controlled non-adiabatic evolutions
title Implementation of quantum rotation gates using controlled non-adiabatic evolutions
title_full Implementation of quantum rotation gates using controlled non-adiabatic evolutions
title_fullStr Implementation of quantum rotation gates using controlled non-adiabatic evolutions
title_full_unstemmed Implementation of quantum rotation gates using controlled non-adiabatic evolutions
title_short Implementation of quantum rotation gates using controlled non-adiabatic evolutions
title_sort implementation of quantum rotation gates using controlled non-adiabatic evolutions
topic QC Physics
url http://irep.iium.edu.my/63771/
http://irep.iium.edu.my/63771/
http://irep.iium.edu.my/63771/
http://irep.iium.edu.my/63771/1/Implementation-of-Quantum-Rotation-Gates-Using-Controlled-Non-Adiabatic-Evolutions.pdf