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Single-qubit reaped quantum state tomography
Quantum state tomography is the experimental procedure of determining an unknown state. It is not only essential for the verification of resources and processors of quantum information but is also important in its own right with regard to the foundation of quantum mechanics. Standard methods have be...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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Nature Publishing Group UK
2022
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9243119/ https://www.ncbi.nlm.nih.gov/pubmed/35768483 http://dx.doi.org/10.1038/s41598-022-15089-7 |
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author | Choi, Mahn-Soo |
author_facet | Choi, Mahn-Soo |
author_sort | Choi, Mahn-Soo |
collection | PubMed |
description | Quantum state tomography is the experimental procedure of determining an unknown state. It is not only essential for the verification of resources and processors of quantum information but is also important in its own right with regard to the foundation of quantum mechanics. Standard methods have been elusive for large systems because of the enormous number of observables to be measured and the exponential complexity of data post-processing. Here, we propose a new scheme of quantum state tomography that requires the measurement of only three observables (acting jointly on the system and pointer) regardless of the size of the system. The system is coupled to a “pointer” of single qubit, and the wavefunction of the system is “reaped” onto the pointer upon the measurement of the system. Subsequently, standard two-state tomography on the pointer and classical post-processing are used to reconstruct the quantum state of the system. We also developed an efficient and scalable iterative maximum likelihood algorithm to estimate states from statistically incomplete data. |
format | Online Article Text |
id | pubmed-9243119 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-92431192022-07-01 Single-qubit reaped quantum state tomography Choi, Mahn-Soo Sci Rep Article Quantum state tomography is the experimental procedure of determining an unknown state. It is not only essential for the verification of resources and processors of quantum information but is also important in its own right with regard to the foundation of quantum mechanics. Standard methods have been elusive for large systems because of the enormous number of observables to be measured and the exponential complexity of data post-processing. Here, we propose a new scheme of quantum state tomography that requires the measurement of only three observables (acting jointly on the system and pointer) regardless of the size of the system. The system is coupled to a “pointer” of single qubit, and the wavefunction of the system is “reaped” onto the pointer upon the measurement of the system. Subsequently, standard two-state tomography on the pointer and classical post-processing are used to reconstruct the quantum state of the system. We also developed an efficient and scalable iterative maximum likelihood algorithm to estimate states from statistically incomplete data. Nature Publishing Group UK 2022-06-29 /pmc/articles/PMC9243119/ /pubmed/35768483 http://dx.doi.org/10.1038/s41598-022-15089-7 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Article Choi, Mahn-Soo Single-qubit reaped quantum state tomography |
title | Single-qubit reaped quantum state tomography |
title_full | Single-qubit reaped quantum state tomography |
title_fullStr | Single-qubit reaped quantum state tomography |
title_full_unstemmed | Single-qubit reaped quantum state tomography |
title_short | Single-qubit reaped quantum state tomography |
title_sort | single-qubit reaped quantum state tomography |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9243119/ https://www.ncbi.nlm.nih.gov/pubmed/35768483 http://dx.doi.org/10.1038/s41598-022-15089-7 |
work_keys_str_mv | AT choimahnsoo singlequbitreapedquantumstatetomography |