Investigating the variance increase of readout error mitigation through classical bit-flip correction on IBM and Rigetti quantum computers

Constantia Alexandrou; Lena Funcke; Tobias Hartung; Karl Jansen; Stefan Kühn; Georgios Polykratis; Paolo Stornati; Xiaoyang Wang; Tom Weber

doi:10.22323/1.396.0243

Investigating the variance increase of readout error mitigation through classical bit-flip correction on IBM and Rigetti quantum computers

Constantia Alexandrou, Lena Funcke, Tobias Hartung, Karl Jansen, Stefan Kühn, Georgios Polykratis, Paolo Stornati, Xiaoyang Wang, Tom Weber

Department of Mathematical Sciences

Research output: Contribution to journal › Conference article › peer-review

4 Citations (SciVal)

Abstract

Readout errors are among the most dominant errors on current noisy intermediate-scale quantum devices. Recently, an efficient and scaleable method for mitigating such errors has been developed, based on classical bit-flip correction [1, 2]. In this talk, we compare the performance of this method for IBM's and Rigetti's quantum devices, demonstrating how the method improves the noisy measurements of observables obtained on the quantum hardware. Moreover, we examine the variance amplification to the data after applying of our mitigation procedure, which is common to all mitigation strategies. We derive a new expression for the variance of the mitigated Pauli operators in terms of the corrected expectation values and the noisy variances. Our hardware results show good agreement with the theoretical prediction, and we demonstrate that the increase of the variance due to the mitigation procedure is only moderate.

Original language	English
Article number	243
Journal	Proceedings of Science
Volume	396
Early online date	16 May 2022
DOIs	https://doi.org/10.22323/1.396.0243
Publication status	Published - 8 Jul 2022
Event	38th International Symposium on Lattice Field Theory, LATTICE 2021 - Virtual, Online, USA United States Duration: 26 Jul 2021 → 30 Jul 2021

Bibliographical note

Funding Information:
Energy, Office of Science, National Quantum Information Science Research Centers, Co-design Center for Quantum Advantage (C2QA) under contract number DE-SC0012704, by the DOE QuantiSED Consortium under subcontract number 675352, by the National Science Foundation under Cooperative Agreement PHY-2019786 (The NSF AI Institute for Artificial Intelligence and Fundamental Interactions, http://iaifi.org/), and by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under grant contract numbers DE-SC0011090 and DE-SC0021006. S.K. acknowledges financial support from the Cyprus Research and Innovation Foundation under project “Future-proofing Scientific Applications for the Supercomputers of Tomorrow (FAST)”, contract no. COMPLEMENTARY/0916/0048. G. P. is financially supported by the Cyprus Research and Innovation Foundation under contract number POST-DOC/0718/0100 and from project NextQCD, co-funded by the European Regional Development Fund and the Republic of Cyprus through the Research and Innovation Foundation with contract id EXCELLENCE/0918/0129. T.W. acknowledges the support by DASHH (Data Science in Hamburg - HELMHOLTZ Graduate School for the Structure of Matter) with the Grant-No. HIDSS-0002. We would like to thank Rigetti Computing for providing exclusive access to their Aspen-9 quantum device and acknowledge the use of IBM Quantum services for this work. The views expressed are those of the authors, and do not reflect the official policy or position of Rigetti Computing, IBM, or the IBM Quantum team.

Funding Information:
Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Industry Canada and by the Province of Ontario through the Ministry of Colleges and Universities. L.F. is partially supported by the U.S. Department of

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https://arxiv.org/abs/2111.05026v3Licence: CC BY-NC-ND

Cite this

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title = "Investigating the variance increase of readout error mitigation through classical bit-flip correction on IBM and Rigetti quantum computers",

abstract = "Readout errors are among the most dominant errors on current noisy intermediate-scale quantum devices. Recently, an efficient and scaleable method for mitigating such errors has been developed, based on classical bit-flip correction [1, 2]. In this talk, we compare the performance of this method for IBM's and Rigetti's quantum devices, demonstrating how the method improves the noisy measurements of observables obtained on the quantum hardware. Moreover, we examine the variance amplification to the data after applying of our mitigation procedure, which is common to all mitigation strategies. We derive a new expression for the variance of the mitigated Pauli operators in terms of the corrected expectation values and the noisy variances. Our hardware results show good agreement with the theoretical prediction, and we demonstrate that the increase of the variance due to the mitigation procedure is only moderate.",

author = "Constantia Alexandrou and Lena Funcke and Tobias Hartung and Karl Jansen and Stefan K{\"u}hn and Georgios Polykratis and Paolo Stornati and Xiaoyang Wang and Tom Weber",

note = "Funding Information: Energy, Office of Science, National Quantum Information Science Research Centers, Co-design Center for Quantum Advantage (C2QA) under contract number DE-SC0012704, by the DOE QuantiSED Consortium under subcontract number 675352, by the National Science Foundation under Cooperative Agreement PHY-2019786 (The NSF AI Institute for Artificial Intelligence and Fundamental Interactions, http://iaifi.org/), and by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under grant contract numbers DE-SC0011090 and DE-SC0021006. S.K. acknowledges financial support from the Cyprus Research and Innovation Foundation under project “Future-proofing Scientific Applications for the Supercomputers of Tomorrow (FAST)”, contract no. COMPLEMENTARY/0916/0048. G. P. is financially supported by the Cyprus Research and Innovation Foundation under contract number POST-DOC/0718/0100 and from project NextQCD, co-funded by the European Regional Development Fund and the Republic of Cyprus through the Research and Innovation Foundation with contract id EXCELLENCE/0918/0129. T.W. acknowledges the support by DASHH (Data Science in Hamburg - HELMHOLTZ Graduate School for the Structure of Matter) with the Grant-No. HIDSS-0002. We would like to thank Rigetti Computing for providing exclusive access to their Aspen-9 quantum device and acknowledge the use of IBM Quantum services for this work. The views expressed are those of the authors, and do not reflect the official policy or position of Rigetti Computing, IBM, or the IBM Quantum team. Funding Information: Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Industry Canada and by the Province of Ontario through the Ministry of Colleges and Universities. L.F. is partially supported by the U.S. Department of ; 38th International Symposium on Lattice Field Theory, LATTICE 2021 ; Conference date: 26-07-2021 Through 30-07-2021",

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AU - Kühn, Stefan

AU - Polykratis, Georgios

AU - Stornati, Paolo

AU - Wang, Xiaoyang

AU - Weber, Tom

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Investigating the variance increase of readout error mitigation through classical bit-flip correction on IBM and Rigetti quantum computers

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