Using classical bit-flip correction for error mitigation in quantum computations including 2-qubit correlations

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

doi:10.22323/1.396.0327

Using classical bit-flip correction for error mitigation in quantum computations including 2-qubit correlations

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

Department of Mathematical Sciences

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

Abstract

We present an error mitigation scheme which corrects readout errors on Noisy Intermediate-Scale Quantum (NISQ) computers [1, 2]. After a short review of applying the method to one qubit, we proceed to discuss the case when correlations between different qubits occur. We demonstrate how the readout error can be mitigated in this case. By performing experiments on IBMQ hardware, we show that such correlations do not have a strong effect on the results, justifying to neglect them.

Original language	English
Article number	327
Journal	Proceedings of Science
Volume	396
DOIs	https://doi.org/10.22323/1.396.0327
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

Funding

We thank Giovanni Ianelli and Tom Weber for many useful discussions. 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 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 supported by project NextQCD, co-funded by the European Regional Development Fund and the Republic of Cyprus through the Research and Innovation Foundation (EXCELLENCE/0918/0129) and POST-DOC/0718/0100. Partial support is provided by the Marie Skłodowska-Curie European Joint Doctorate program STIMULATE of the European Commission under grant agreement No 765048. We 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 IBM or the IBM Quantum team.

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https://arxiv.org/abs/2111.08551v3Licence: CC BY-NC-ND

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abstract = "We present an error mitigation scheme which corrects readout errors on Noisy Intermediate-Scale Quantum (NISQ) computers [1, 2]. After a short review of applying the method to one qubit, we proceed to discuss the case when correlations between different qubits occur. We demonstrate how the readout error can be mitigated in this case. By performing experiments on IBMQ hardware, we show that such correlations do not have a strong effect on the results, justifying to neglect them.",

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AU - Kühn, Stefan

AU - Polykratis, Georgios

AU - Stornati, Paolo

AU - Wang, Xiaoyang

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AB - We present an error mitigation scheme which corrects readout errors on Noisy Intermediate-Scale Quantum (NISQ) computers [1, 2]. After a short review of applying the method to one qubit, we proceed to discuss the case when correlations between different qubits occur. We demonstrate how the readout error can be mitigated in this case. By performing experiments on IBMQ hardware, we show that such correlations do not have a strong effect on the results, justifying to neglect them.

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Using classical bit-flip correction for error mitigation in quantum computations including 2-qubit correlations

Abstract

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