Nonvariational ADAPT algorithm for quantum simulations
We explore a nonvariational quantum state preparation approach combined with the ADAPT operator selection strategy in the application of preparing the ground state of a desired target Hamiltonian. In this algorithm, energy gradient measurements determine both the operators and the gate parameters in...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-06-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/x8g1-7h1k |
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| _version_ | 1849689727746179072 |
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| author | Ho Lun Tang Yanzhu Chen Prakriti Biswas Alicia B. Magann Christian Arenz Sophia E. Economou |
| author_facet | Ho Lun Tang Yanzhu Chen Prakriti Biswas Alicia B. Magann Christian Arenz Sophia E. Economou |
| author_sort | Ho Lun Tang |
| collection | DOAJ |
| description | We explore a nonvariational quantum state preparation approach combined with the ADAPT operator selection strategy in the application of preparing the ground state of a desired target Hamiltonian. In this algorithm, energy gradient measurements determine both the operators and the gate parameters in the quantum circuit construction. We compare this nonvariational algorithm with ADAPT-VQE and with feedback-based quantum algorithms in terms of the rate of energy reduction, the circuit depth, and the measurement cost in molecular simulation. We find that, despite using deeper circuits, this new algorithm reaches chemical accuracy at a similar measurement cost to ADAPT-VQE. Since it does not rely on a classical optimization subroutine, it may provide robustness against circuit parameter errors due to imperfect control or gate synthesis. |
| format | Article |
| id | doaj-art-67b5a9e982c9466cafd32fbea182ec8d |
| institution | DOAJ |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-67b5a9e982c9466cafd32fbea182ec8d2025-08-20T03:21:31ZengAmerican Physical SocietyPhysical Review Research2643-15642025-06-017202327510.1103/x8g1-7h1kNonvariational ADAPT algorithm for quantum simulationsHo Lun TangYanzhu ChenPrakriti BiswasAlicia B. MagannChristian ArenzSophia E. EconomouWe explore a nonvariational quantum state preparation approach combined with the ADAPT operator selection strategy in the application of preparing the ground state of a desired target Hamiltonian. In this algorithm, energy gradient measurements determine both the operators and the gate parameters in the quantum circuit construction. We compare this nonvariational algorithm with ADAPT-VQE and with feedback-based quantum algorithms in terms of the rate of energy reduction, the circuit depth, and the measurement cost in molecular simulation. We find that, despite using deeper circuits, this new algorithm reaches chemical accuracy at a similar measurement cost to ADAPT-VQE. Since it does not rely on a classical optimization subroutine, it may provide robustness against circuit parameter errors due to imperfect control or gate synthesis.http://doi.org/10.1103/x8g1-7h1k |
| spellingShingle | Ho Lun Tang Yanzhu Chen Prakriti Biswas Alicia B. Magann Christian Arenz Sophia E. Economou Nonvariational ADAPT algorithm for quantum simulations Physical Review Research |
| title | Nonvariational ADAPT algorithm for quantum simulations |
| title_full | Nonvariational ADAPT algorithm for quantum simulations |
| title_fullStr | Nonvariational ADAPT algorithm for quantum simulations |
| title_full_unstemmed | Nonvariational ADAPT algorithm for quantum simulations |
| title_short | Nonvariational ADAPT algorithm for quantum simulations |
| title_sort | nonvariational adapt algorithm for quantum simulations |
| url | http://doi.org/10.1103/x8g1-7h1k |
| work_keys_str_mv | AT holuntang nonvariationaladaptalgorithmforquantumsimulations AT yanzhuchen nonvariationaladaptalgorithmforquantumsimulations AT prakritibiswas nonvariationaladaptalgorithmforquantumsimulations AT aliciabmagann nonvariationaladaptalgorithmforquantumsimulations AT christianarenz nonvariationaladaptalgorithmforquantumsimulations AT sophiaeeconomou nonvariationaladaptalgorithmforquantumsimulations |