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Superadiabatic Controlled Evolutions and Universal Quantum Computation
Adiabatic state engineering is a powerful technique in quantum information and quantum control. However, its performance is limited by the adiabatic theorem of quantum mechanics. In this scenario, shortcuts to adiabaticity, such as provided by the superadiabatic theory, constitute a valuable tool to...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group
2015
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4625175/ https://www.ncbi.nlm.nih.gov/pubmed/26511064 http://dx.doi.org/10.1038/srep15775 |
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author | Santos, Alan C. Sarandy, Marcelo S. |
author_facet | Santos, Alan C. Sarandy, Marcelo S. |
author_sort | Santos, Alan C. |
collection | PubMed |
description | Adiabatic state engineering is a powerful technique in quantum information and quantum control. However, its performance is limited by the adiabatic theorem of quantum mechanics. In this scenario, shortcuts to adiabaticity, such as provided by the superadiabatic theory, constitute a valuable tool to speed up the adiabatic quantum behavior. Here, we propose a superadiabatic route to implement universal quantum computation. Our method is based on the realization of piecewise controlled superadiabatic evolutions. Remarkably, they can be obtained by simple time-independent counter-diabatic Hamiltonians. In particular, we discuss the implementation of fast rotation gates and arbitrary n-qubit controlled gates, which can be used to design different sets of universal quantum gates. Concerning the energy cost of the superadiabatic implementation, we show that it is dictated by the quantum speed limit, providing an upper bound for the corresponding adiabatic counterparts. |
format | Online Article Text |
id | pubmed-4625175 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2015 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
spelling | pubmed-46251752015-11-03 Superadiabatic Controlled Evolutions and Universal Quantum Computation Santos, Alan C. Sarandy, Marcelo S. Sci Rep Article Adiabatic state engineering is a powerful technique in quantum information and quantum control. However, its performance is limited by the adiabatic theorem of quantum mechanics. In this scenario, shortcuts to adiabaticity, such as provided by the superadiabatic theory, constitute a valuable tool to speed up the adiabatic quantum behavior. Here, we propose a superadiabatic route to implement universal quantum computation. Our method is based on the realization of piecewise controlled superadiabatic evolutions. Remarkably, they can be obtained by simple time-independent counter-diabatic Hamiltonians. In particular, we discuss the implementation of fast rotation gates and arbitrary n-qubit controlled gates, which can be used to design different sets of universal quantum gates. Concerning the energy cost of the superadiabatic implementation, we show that it is dictated by the quantum speed limit, providing an upper bound for the corresponding adiabatic counterparts. Nature Publishing Group 2015-10-29 /pmc/articles/PMC4625175/ /pubmed/26511064 http://dx.doi.org/10.1038/srep15775 Text en Copyright © 2015, Macmillan Publishers Limited http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
spellingShingle | Article Santos, Alan C. Sarandy, Marcelo S. Superadiabatic Controlled Evolutions and Universal Quantum Computation |
title | Superadiabatic Controlled Evolutions and Universal Quantum Computation |
title_full | Superadiabatic Controlled Evolutions and Universal Quantum Computation |
title_fullStr | Superadiabatic Controlled Evolutions and Universal Quantum Computation |
title_full_unstemmed | Superadiabatic Controlled Evolutions and Universal Quantum Computation |
title_short | Superadiabatic Controlled Evolutions and Universal Quantum Computation |
title_sort | superadiabatic controlled evolutions and universal quantum computation |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4625175/ https://www.ncbi.nlm.nih.gov/pubmed/26511064 http://dx.doi.org/10.1038/srep15775 |
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