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Article: Mitigating algorithmic errors in a Hamiltonian simulation

TitleMitigating algorithmic errors in a Hamiltonian simulation
Authors
Issue Date2019
Citation
Physical Review A, 2019, v. 99, n. 1, article no. 012334 How to Cite?
AbstractQuantum computers can efficiently simulate many-body systems. As a widely used Hamiltonian simulation tool, the Trotter-Suzuki scheme splits the evolution into the number of Trotter steps N and approximates the evolution of each step by a product of exponentials of each individual term of the total Hamiltonian. The algorithmic error due to the approximation can be reduced by increasing N, which however requires a longer circuit and hence inevitably introduces more physical errors. In this work, we first study such a trade-off and numerically find the optimal number of Trotter steps Nopt given a physical error model in a near-term quantum hardware. Practically, physical errors can be suppressed using recently proposed error mitigation methods. We then extend physical error mitigation methods to suppress the algorithmic error in Hamiltonian simulation. By exploiting the simulation results with different numbers of Trotter steps N≤Nopt, we can infer the exact simulation result within a higher accuracy and hence mitigate algorithmic errors. We numerically test our scheme with a five-qubit system and show significant improvements in the simulation accuracy by applying both physical and algorithmic error mitigations.
Persistent Identifierhttp://hdl.handle.net/10722/315184
ISSN
2023 Impact Factor: 2.6
2023 SCImago Journal Rankings: 1.081
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorEndo, Suguru-
dc.contributor.authorZhao, Qi-
dc.contributor.authorLi, Ying-
dc.contributor.authorBenjamin, Simon-
dc.contributor.authorYuan, Xiao-
dc.date.accessioned2022-08-05T10:17:58Z-
dc.date.available2022-08-05T10:17:58Z-
dc.date.issued2019-
dc.identifier.citationPhysical Review A, 2019, v. 99, n. 1, article no. 012334-
dc.identifier.issn2469-9926-
dc.identifier.urihttp://hdl.handle.net/10722/315184-
dc.description.abstractQuantum computers can efficiently simulate many-body systems. As a widely used Hamiltonian simulation tool, the Trotter-Suzuki scheme splits the evolution into the number of Trotter steps N and approximates the evolution of each step by a product of exponentials of each individual term of the total Hamiltonian. The algorithmic error due to the approximation can be reduced by increasing N, which however requires a longer circuit and hence inevitably introduces more physical errors. In this work, we first study such a trade-off and numerically find the optimal number of Trotter steps Nopt given a physical error model in a near-term quantum hardware. Practically, physical errors can be suppressed using recently proposed error mitigation methods. We then extend physical error mitigation methods to suppress the algorithmic error in Hamiltonian simulation. By exploiting the simulation results with different numbers of Trotter steps N≤Nopt, we can infer the exact simulation result within a higher accuracy and hence mitigate algorithmic errors. We numerically test our scheme with a five-qubit system and show significant improvements in the simulation accuracy by applying both physical and algorithmic error mitigations.-
dc.languageeng-
dc.relation.ispartofPhysical Review A-
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.-
dc.titleMitigating algorithmic errors in a Hamiltonian simulation-
dc.typeArticle-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevA.99.012334-
dc.identifier.scopuseid_2-s2.0-85060173591-
dc.identifier.volume99-
dc.identifier.issue1-
dc.identifier.spagearticle no. 012334-
dc.identifier.epagearticle no. 012334-
dc.identifier.eissn2469-9934-
dc.identifier.isiWOS:000456019000007-

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