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A graph-theoretical representation of multiphoton resonance processes in superconducting quantum circuits
We propose a graph-theoretical formalism to study generic circuit quantum electrodynamics systems consisting of a two level qubit coupled with a single-mode resonator in arbitrary coupling strength regimes beyond rotating-wave approximation. We define colored-weighted graphs, and introduce different...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group
2016
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5116624/ https://www.ncbi.nlm.nih.gov/pubmed/27869230 http://dx.doi.org/10.1038/srep37544 |
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author | Jooya, Hossein Z. Reihani, Kamran Chu, Shih-I |
author_facet | Jooya, Hossein Z. Reihani, Kamran Chu, Shih-I |
author_sort | Jooya, Hossein Z. |
collection | PubMed |
description | We propose a graph-theoretical formalism to study generic circuit quantum electrodynamics systems consisting of a two level qubit coupled with a single-mode resonator in arbitrary coupling strength regimes beyond rotating-wave approximation. We define colored-weighted graphs, and introduce different products between them to investigate the dynamics of superconducting qubits in transverse, longitudinal, and bidirectional coupling schemes. The intuitive and predictive picture provided by this method, and the simplicity of the mathematical construction, are demonstrated with some numerical studies of the multiphoton resonance processes and quantum interference phenomena for the superconducting qubit systems driven by intense ac fields. |
format | Online Article Text |
id | pubmed-5116624 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2016 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
spelling | pubmed-51166242016-11-28 A graph-theoretical representation of multiphoton resonance processes in superconducting quantum circuits Jooya, Hossein Z. Reihani, Kamran Chu, Shih-I Sci Rep Article We propose a graph-theoretical formalism to study generic circuit quantum electrodynamics systems consisting of a two level qubit coupled with a single-mode resonator in arbitrary coupling strength regimes beyond rotating-wave approximation. We define colored-weighted graphs, and introduce different products between them to investigate the dynamics of superconducting qubits in transverse, longitudinal, and bidirectional coupling schemes. The intuitive and predictive picture provided by this method, and the simplicity of the mathematical construction, are demonstrated with some numerical studies of the multiphoton resonance processes and quantum interference phenomena for the superconducting qubit systems driven by intense ac fields. Nature Publishing Group 2016-11-21 /pmc/articles/PMC5116624/ /pubmed/27869230 http://dx.doi.org/10.1038/srep37544 Text en Copyright © 2016, The Author(s) 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 Jooya, Hossein Z. Reihani, Kamran Chu, Shih-I A graph-theoretical representation of multiphoton resonance processes in superconducting quantum circuits |
title | A graph-theoretical representation of multiphoton resonance processes in superconducting quantum circuits |
title_full | A graph-theoretical representation of multiphoton resonance processes in superconducting quantum circuits |
title_fullStr | A graph-theoretical representation of multiphoton resonance processes in superconducting quantum circuits |
title_full_unstemmed | A graph-theoretical representation of multiphoton resonance processes in superconducting quantum circuits |
title_short | A graph-theoretical representation of multiphoton resonance processes in superconducting quantum circuits |
title_sort | graph-theoretical representation of multiphoton resonance processes in superconducting quantum circuits |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5116624/ https://www.ncbi.nlm.nih.gov/pubmed/27869230 http://dx.doi.org/10.1038/srep37544 |
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