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Experimental exploration of five-qubit quantum error-correcting code with superconducting qubits
Quantum error correction is an essential ingredient for universal quantum computing. Despite tremendous experimental efforts in the study of quantum error correction, to date, there has been no demonstration in the realisation of universal quantum error-correcting code, with the subsequent verificat...
Autores principales: | , , , , , , , , , , , , , , , , , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Oxford University Press
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8776549/ https://www.ncbi.nlm.nih.gov/pubmed/35070323 http://dx.doi.org/10.1093/nsr/nwab011 |
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author | Gong, Ming Yuan, Xiao Wang, Shiyu Wu, Yulin Zhao, Youwei Zha, Chen Li, Shaowei Zhang, Zhen Zhao, Qi Liu, Yunchao Liang, Futian Lin, Jin Xu, Yu Deng, Hui Rong, Hao Lu, He Benjamin, Simon C Peng, Cheng-Zhi Ma, Xiongfeng Chen, Yu-Ao Zhu, Xiaobo Pan, Jian-Wei |
author_facet | Gong, Ming Yuan, Xiao Wang, Shiyu Wu, Yulin Zhao, Youwei Zha, Chen Li, Shaowei Zhang, Zhen Zhao, Qi Liu, Yunchao Liang, Futian Lin, Jin Xu, Yu Deng, Hui Rong, Hao Lu, He Benjamin, Simon C Peng, Cheng-Zhi Ma, Xiongfeng Chen, Yu-Ao Zhu, Xiaobo Pan, Jian-Wei |
author_sort | Gong, Ming |
collection | PubMed |
description | Quantum error correction is an essential ingredient for universal quantum computing. Despite tremendous experimental efforts in the study of quantum error correction, to date, there has been no demonstration in the realisation of universal quantum error-correcting code, with the subsequent verification of all key features including the identification of an arbitrary physical error, the capability for transversal manipulation of the logical state and state decoding. To address this challenge, we experimentally realise the [5, 1, 3] code, the so-called smallest perfect code that permits corrections of generic single-qubit errors. In the experiment, having optimised the encoding circuit, we employ an array of superconducting qubits to realise the [5, 1, 3] code for several typical logical states including the magic state, an indispensable resource for realising non-Clifford gates. The encoded states are prepared with an average fidelity of [Formula: see text] while with a high fidelity of [Formula: see text] in the code space. Then, the arbitrary single-qubit errors introduced manually are identified by measuring the stabilisers. We further implement logical Pauli operations with a fidelity of [Formula: see text] within the code space. Finally, we realise the decoding circuit and recover the input state with an overall fidelity of [Formula: see text] , in total with 92 gates. Our work demonstrates each key aspect of the [5, 1, 3] code and verifies the viability of experimental realisation of quantum error-correcting codes with superconducting qubits. |
format | Online Article Text |
id | pubmed-8776549 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Oxford University Press |
record_format | MEDLINE/PubMed |
spelling | pubmed-87765492022-01-21 Experimental exploration of five-qubit quantum error-correcting code with superconducting qubits Gong, Ming Yuan, Xiao Wang, Shiyu Wu, Yulin Zhao, Youwei Zha, Chen Li, Shaowei Zhang, Zhen Zhao, Qi Liu, Yunchao Liang, Futian Lin, Jin Xu, Yu Deng, Hui Rong, Hao Lu, He Benjamin, Simon C Peng, Cheng-Zhi Ma, Xiongfeng Chen, Yu-Ao Zhu, Xiaobo Pan, Jian-Wei Natl Sci Rev Research Article Quantum error correction is an essential ingredient for universal quantum computing. Despite tremendous experimental efforts in the study of quantum error correction, to date, there has been no demonstration in the realisation of universal quantum error-correcting code, with the subsequent verification of all key features including the identification of an arbitrary physical error, the capability for transversal manipulation of the logical state and state decoding. To address this challenge, we experimentally realise the [5, 1, 3] code, the so-called smallest perfect code that permits corrections of generic single-qubit errors. In the experiment, having optimised the encoding circuit, we employ an array of superconducting qubits to realise the [5, 1, 3] code for several typical logical states including the magic state, an indispensable resource for realising non-Clifford gates. The encoded states are prepared with an average fidelity of [Formula: see text] while with a high fidelity of [Formula: see text] in the code space. Then, the arbitrary single-qubit errors introduced manually are identified by measuring the stabilisers. We further implement logical Pauli operations with a fidelity of [Formula: see text] within the code space. Finally, we realise the decoding circuit and recover the input state with an overall fidelity of [Formula: see text] , in total with 92 gates. Our work demonstrates each key aspect of the [5, 1, 3] code and verifies the viability of experimental realisation of quantum error-correcting codes with superconducting qubits. Oxford University Press 2021-01-21 /pmc/articles/PMC8776549/ /pubmed/35070323 http://dx.doi.org/10.1093/nsr/nwab011 Text en © The Author(s) 2021. Published by Oxford University Press on behalf of China Science Publishing & Media Ltd. https://creativecommons.org/licenses/by/4.0/This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited. |
spellingShingle | Research Article Gong, Ming Yuan, Xiao Wang, Shiyu Wu, Yulin Zhao, Youwei Zha, Chen Li, Shaowei Zhang, Zhen Zhao, Qi Liu, Yunchao Liang, Futian Lin, Jin Xu, Yu Deng, Hui Rong, Hao Lu, He Benjamin, Simon C Peng, Cheng-Zhi Ma, Xiongfeng Chen, Yu-Ao Zhu, Xiaobo Pan, Jian-Wei Experimental exploration of five-qubit quantum error-correcting code with superconducting qubits |
title | Experimental exploration of five-qubit quantum error-correcting code with superconducting qubits |
title_full | Experimental exploration of five-qubit quantum error-correcting code with superconducting qubits |
title_fullStr | Experimental exploration of five-qubit quantum error-correcting code with superconducting qubits |
title_full_unstemmed | Experimental exploration of five-qubit quantum error-correcting code with superconducting qubits |
title_short | Experimental exploration of five-qubit quantum error-correcting code with superconducting qubits |
title_sort | experimental exploration of five-qubit quantum error-correcting code with superconducting qubits |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8776549/ https://www.ncbi.nlm.nih.gov/pubmed/35070323 http://dx.doi.org/10.1093/nsr/nwab011 |
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