Mitigating errors in analog quantum simulation by Hamiltonian reshaping or Hamiltonian rescaling
Abstract Simulating quantum many-body systems is crucial for advancing physics but poses substantial challenges for classical computers. Quantum simulations overcome these limitations, with analog simulators offering unique advantages over digital methods, such as lower systematic errors and reduced...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-01-01
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| Series: | npj Quantum Information |
| Online Access: | https://doi.org/10.1038/s41534-025-00969-3 |
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| _version_ | 1832571469005062144 |
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| author | Rui-Cheng Guo Yanwu Gu Dong E. Liu |
| author_facet | Rui-Cheng Guo Yanwu Gu Dong E. Liu |
| author_sort | Rui-Cheng Guo |
| collection | DOAJ |
| description | Abstract Simulating quantum many-body systems is crucial for advancing physics but poses substantial challenges for classical computers. Quantum simulations overcome these limitations, with analog simulators offering unique advantages over digital methods, such as lower systematic errors and reduced circuit depth, making them efficient for studying complex quantum phenomena. However, unlike their digital counterparts, analog quantum simulations face significant limitations due to the absence of effective error mitigation techniques. This work introduces two novel error mitigation strategies—Hamiltonian reshaping and Hamiltonian rescaling—in analog quantum simulation for tasks like eigen-energy evaluation. Hamiltonian reshaping uses random unitary transformations to generate new Hamiltonians with identical eigenvalues but varied eigenstates, allowing error reduction through averaging. Hamiltonian rescaling mitigates errors by comparing eigenvalue estimates from energy-scaled Hamiltonians. Numerical calculations validate both methods, demonstrating their significant practical effectiveness in enhancing the accuracy and reliability of analog quantum simulators. |
| format | Article |
| id | doaj-art-ac76e61bc3fa4b77964ea8f4f565b221 |
| institution | Kabale University |
| issn | 2056-6387 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | npj Quantum Information |
| spelling | doaj-art-ac76e61bc3fa4b77964ea8f4f565b2212025-02-02T12:35:46ZengNature Portfolionpj Quantum Information2056-63872025-01-0111111210.1038/s41534-025-00969-3Mitigating errors in analog quantum simulation by Hamiltonian reshaping or Hamiltonian rescalingRui-Cheng Guo0Yanwu Gu1Dong E. Liu2State Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua UniversityBeijing Academy of Quantum Information SciencesState Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua UniversityAbstract Simulating quantum many-body systems is crucial for advancing physics but poses substantial challenges for classical computers. Quantum simulations overcome these limitations, with analog simulators offering unique advantages over digital methods, such as lower systematic errors and reduced circuit depth, making them efficient for studying complex quantum phenomena. However, unlike their digital counterparts, analog quantum simulations face significant limitations due to the absence of effective error mitigation techniques. This work introduces two novel error mitigation strategies—Hamiltonian reshaping and Hamiltonian rescaling—in analog quantum simulation for tasks like eigen-energy evaluation. Hamiltonian reshaping uses random unitary transformations to generate new Hamiltonians with identical eigenvalues but varied eigenstates, allowing error reduction through averaging. Hamiltonian rescaling mitigates errors by comparing eigenvalue estimates from energy-scaled Hamiltonians. Numerical calculations validate both methods, demonstrating their significant practical effectiveness in enhancing the accuracy and reliability of analog quantum simulators.https://doi.org/10.1038/s41534-025-00969-3 |
| spellingShingle | Rui-Cheng Guo Yanwu Gu Dong E. Liu Mitigating errors in analog quantum simulation by Hamiltonian reshaping or Hamiltonian rescaling npj Quantum Information |
| title | Mitigating errors in analog quantum simulation by Hamiltonian reshaping or Hamiltonian rescaling |
| title_full | Mitigating errors in analog quantum simulation by Hamiltonian reshaping or Hamiltonian rescaling |
| title_fullStr | Mitigating errors in analog quantum simulation by Hamiltonian reshaping or Hamiltonian rescaling |
| title_full_unstemmed | Mitigating errors in analog quantum simulation by Hamiltonian reshaping or Hamiltonian rescaling |
| title_short | Mitigating errors in analog quantum simulation by Hamiltonian reshaping or Hamiltonian rescaling |
| title_sort | mitigating errors in analog quantum simulation by hamiltonian reshaping or hamiltonian rescaling |
| url | https://doi.org/10.1038/s41534-025-00969-3 |
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