Corrupted sensing quantum state tomography

The reliable characterization of quantum states as well as any potential noise in various quantum systems is crucial for advancing quantum technologies. In this work we propose the concept of corrupted sensing quantum state tomography which enables the simultaneous reconstruction of quantum states a...

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Main Authors: Mengru Ma, Jiangwei Shang
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/adcfbf
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author Mengru Ma
Jiangwei Shang
author_facet Mengru Ma
Jiangwei Shang
author_sort Mengru Ma
collection DOAJ
description The reliable characterization of quantum states as well as any potential noise in various quantum systems is crucial for advancing quantum technologies. In this work we propose the concept of corrupted sensing quantum state tomography which enables the simultaneous reconstruction of quantum states and structured noise with the aid of simple Pauli measurements only. Without additional prior information, we investigate the reliability and robustness of the framework. The power of our protocol is demonstrated by assuming sparse Gaussian and Poisson noise for low-rank state tomography. In particular, our approach is able to achieve a high quality of the recovery with incomplete sets of measurements and is also suitable for performance improvement of large quantum systems. It is envisaged that the techniques can become a practical tool to greatly reduce the cost and computational effort for quantum tomography in noisy quantum systems.
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institution Kabale University
issn 1367-2630
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publishDate 2025-01-01
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spelling doaj-art-cdc8729daf8b43de91f1c5f82fd1d4812025-08-20T03:52:10ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127505450110.1088/1367-2630/adcfbfCorrupted sensing quantum state tomographyMengru Ma0Jiangwei Shang1https://orcid.org/0000-0002-2332-5882Key Laboratory of Advanced Optoelectronic Quantum Architecture and Measurement (MOE), School of Physics, Beijing Institute of Technology , Beijing 100081, People’s Republic of ChinaKey Laboratory of Advanced Optoelectronic Quantum Architecture and Measurement (MOE), School of Physics, Beijing Institute of Technology , Beijing 100081, People’s Republic of ChinaThe reliable characterization of quantum states as well as any potential noise in various quantum systems is crucial for advancing quantum technologies. In this work we propose the concept of corrupted sensing quantum state tomography which enables the simultaneous reconstruction of quantum states and structured noise with the aid of simple Pauli measurements only. Without additional prior information, we investigate the reliability and robustness of the framework. The power of our protocol is demonstrated by assuming sparse Gaussian and Poisson noise for low-rank state tomography. In particular, our approach is able to achieve a high quality of the recovery with incomplete sets of measurements and is also suitable for performance improvement of large quantum systems. It is envisaged that the techniques can become a practical tool to greatly reduce the cost and computational effort for quantum tomography in noisy quantum systems.https://doi.org/10.1088/1367-2630/adcfbfquantum tomographyPauli measurementlow-rank statecorrupted sensingsparse noise
spellingShingle Mengru Ma
Jiangwei Shang
Corrupted sensing quantum state tomography
New Journal of Physics
quantum tomography
Pauli measurement
low-rank state
corrupted sensing
sparse noise
title Corrupted sensing quantum state tomography
title_full Corrupted sensing quantum state tomography
title_fullStr Corrupted sensing quantum state tomography
title_full_unstemmed Corrupted sensing quantum state tomography
title_short Corrupted sensing quantum state tomography
title_sort corrupted sensing quantum state tomography
topic quantum tomography
Pauli measurement
low-rank state
corrupted sensing
sparse noise
url https://doi.org/10.1088/1367-2630/adcfbf
work_keys_str_mv AT mengruma corruptedsensingquantumstatetomography
AT jiangweishang corruptedsensingquantumstatetomography