Robust preparation of ground state phases under noisy imaginary time evolution
Nonunitary state preparation protocols such as imaginary time evolution (ITE) offer substantial advantages relative to unitary ones, including the ability to prepare certain long-range correlated states more efficiently. Here, we ask whether such protocols are also robust to noise arising due to cou...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-03-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.013263 |
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| _version_ | 1850030221454999552 |
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| author | Aleksei Khindanov Yongxin Yao Thomas Iadecola |
| author_facet | Aleksei Khindanov Yongxin Yao Thomas Iadecola |
| author_sort | Aleksei Khindanov |
| collection | DOAJ |
| description | Nonunitary state preparation protocols such as imaginary time evolution (ITE) offer substantial advantages relative to unitary ones, including the ability to prepare certain long-range correlated states more efficiently. Here, we ask whether such protocols are also robust to noise arising due to coupling to the environment. We consider a nonunitary ITE “circuit” subjected to a variety of noise models and investigate whether the resulting steady state remains in the same phase as the target state of the ITE at finite noise strength. Taking the one-dimensional quantum Ising model as a concrete example, we find that the ground-state order and associated phase transition persist in the presence of noise, provided the noise does not explicitly break the symmetry that protects the phase transition. That is, the noise must possess the protecting symmetry in a weak (or average) form. Our analysis is facilitated by a mapping to an effective Hamiltonian picture in a doubled Hilbert space. We discuss possible implications of these findings for quantum simulation on noisy quantum hardware. |
| format | Article |
| id | doaj-art-a8d50a65e4a146b8b1cc0ac3f2c6cfe0 |
| institution | DOAJ |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-a8d50a65e4a146b8b1cc0ac3f2c6cfe02025-08-20T02:59:16ZengAmerican Physical SocietyPhysical Review Research2643-15642025-03-017101326310.1103/PhysRevResearch.7.013263Robust preparation of ground state phases under noisy imaginary time evolutionAleksei KhindanovYongxin YaoThomas IadecolaNonunitary state preparation protocols such as imaginary time evolution (ITE) offer substantial advantages relative to unitary ones, including the ability to prepare certain long-range correlated states more efficiently. Here, we ask whether such protocols are also robust to noise arising due to coupling to the environment. We consider a nonunitary ITE “circuit” subjected to a variety of noise models and investigate whether the resulting steady state remains in the same phase as the target state of the ITE at finite noise strength. Taking the one-dimensional quantum Ising model as a concrete example, we find that the ground-state order and associated phase transition persist in the presence of noise, provided the noise does not explicitly break the symmetry that protects the phase transition. That is, the noise must possess the protecting symmetry in a weak (or average) form. Our analysis is facilitated by a mapping to an effective Hamiltonian picture in a doubled Hilbert space. We discuss possible implications of these findings for quantum simulation on noisy quantum hardware.http://doi.org/10.1103/PhysRevResearch.7.013263 |
| spellingShingle | Aleksei Khindanov Yongxin Yao Thomas Iadecola Robust preparation of ground state phases under noisy imaginary time evolution Physical Review Research |
| title | Robust preparation of ground state phases under noisy imaginary time evolution |
| title_full | Robust preparation of ground state phases under noisy imaginary time evolution |
| title_fullStr | Robust preparation of ground state phases under noisy imaginary time evolution |
| title_full_unstemmed | Robust preparation of ground state phases under noisy imaginary time evolution |
| title_short | Robust preparation of ground state phases under noisy imaginary time evolution |
| title_sort | robust preparation of ground state phases under noisy imaginary time evolution |
| url | http://doi.org/10.1103/PhysRevResearch.7.013263 |
| work_keys_str_mv | AT alekseikhindanov robustpreparationofgroundstatephasesundernoisyimaginarytimeevolution AT yongxinyao robustpreparationofgroundstatephasesundernoisyimaginarytimeevolution AT thomasiadecola robustpreparationofgroundstatephasesundernoisyimaginarytimeevolution |