Sampling Overhead Analysis of Quantum Error Mitigation: Uncoded vs. Coded Systems
Quantum error mitigation (QEM) is a promising technique of protecting hybrid quantum-classical computation from decoherence, but it suffers from sampling overhead which erodes the computational speed. In this treatise, we provide a comprehensive analysis of the sampling overhead imposed by QEM. In p...
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
IEEE
2020-01-01
|
Series: | IEEE Access |
Subjects: | |
Online Access: | https://ieeexplore.ieee.org/document/9294106/ |
id |
doaj-c265eab78cec40b6ba6aea6ce4f39218 |
---|---|
record_format |
Article |
spelling |
doaj-c265eab78cec40b6ba6aea6ce4f392182021-03-30T04:27:38ZengIEEEIEEE Access2169-35362020-01-01822896722899110.1109/ACCESS.2020.30450169294106Sampling Overhead Analysis of Quantum Error Mitigation: Uncoded vs. Coded SystemsYifeng Xiong0https://orcid.org/0000-0002-4290-7116Daryus Chandra1https://orcid.org/0000-0003-2406-7229Soon Xin Ng2https://orcid.org/0000-0002-0930-7194Lajos Hanzo3https://orcid.org/0000-0002-2636-5214School of Electronics and Computer Science, University of Southampton, Southampton, U.K.School of Electronics and Computer Science, University of Southampton, Southampton, U.K.School of Electronics and Computer Science, University of Southampton, Southampton, U.K.School of Electronics and Computer Science, University of Southampton, Southampton, U.K.Quantum error mitigation (QEM) is a promising technique of protecting hybrid quantum-classical computation from decoherence, but it suffers from sampling overhead which erodes the computational speed. In this treatise, we provide a comprehensive analysis of the sampling overhead imposed by QEM. In particular, we show that Pauli errors incur the lowest sampling overhead among a large class of realistic quantum channels having the same average fidelity. Furthermore, we show that depolarizing errors incur the lowest sampling overhead among all kinds of Pauli errors. Additionally, we conceive a scheme amalgamating QEM with quantum channel coding, and analyse its sampling overhead reduction compared to pure QEM. Especially, we observe that there exist a critical number of gates contained in quantum circuits, beyond which their amalgamation is preferable to pure QEM.https://ieeexplore.ieee.org/document/9294106/Quantum error mitigationsampling overheadquantum error correction codesquantum error detection codeshybrid quantum-classical computation |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yifeng Xiong Daryus Chandra Soon Xin Ng Lajos Hanzo |
spellingShingle |
Yifeng Xiong Daryus Chandra Soon Xin Ng Lajos Hanzo Sampling Overhead Analysis of Quantum Error Mitigation: Uncoded vs. Coded Systems IEEE Access Quantum error mitigation sampling overhead quantum error correction codes quantum error detection codes hybrid quantum-classical computation |
author_facet |
Yifeng Xiong Daryus Chandra Soon Xin Ng Lajos Hanzo |
author_sort |
Yifeng Xiong |
title |
Sampling Overhead Analysis of Quantum Error Mitigation: Uncoded vs. Coded Systems |
title_short |
Sampling Overhead Analysis of Quantum Error Mitigation: Uncoded vs. Coded Systems |
title_full |
Sampling Overhead Analysis of Quantum Error Mitigation: Uncoded vs. Coded Systems |
title_fullStr |
Sampling Overhead Analysis of Quantum Error Mitigation: Uncoded vs. Coded Systems |
title_full_unstemmed |
Sampling Overhead Analysis of Quantum Error Mitigation: Uncoded vs. Coded Systems |
title_sort |
sampling overhead analysis of quantum error mitigation: uncoded vs. coded systems |
publisher |
IEEE |
series |
IEEE Access |
issn |
2169-3536 |
publishDate |
2020-01-01 |
description |
Quantum error mitigation (QEM) is a promising technique of protecting hybrid quantum-classical computation from decoherence, but it suffers from sampling overhead which erodes the computational speed. In this treatise, we provide a comprehensive analysis of the sampling overhead imposed by QEM. In particular, we show that Pauli errors incur the lowest sampling overhead among a large class of realistic quantum channels having the same average fidelity. Furthermore, we show that depolarizing errors incur the lowest sampling overhead among all kinds of Pauli errors. Additionally, we conceive a scheme amalgamating QEM with quantum channel coding, and analyse its sampling overhead reduction compared to pure QEM. Especially, we observe that there exist a critical number of gates contained in quantum circuits, beyond which their amalgamation is preferable to pure QEM. |
topic |
Quantum error mitigation sampling overhead quantum error correction codes quantum error detection codes hybrid quantum-classical computation |
url |
https://ieeexplore.ieee.org/document/9294106/ |
work_keys_str_mv |
AT yifengxiong samplingoverheadanalysisofquantumerrormitigationuncodedvscodedsystems AT daryuschandra samplingoverheadanalysisofquantumerrormitigationuncodedvscodedsystems AT soonxinng samplingoverheadanalysisofquantumerrormitigationuncodedvscodedsystems AT lajoshanzo samplingoverheadanalysisofquantumerrormitigationuncodedvscodedsystems |
_version_ |
1724181807409135616 |