Non-Variational ADAPT algorithm for quantum simulations
Fuente:
arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866929592376229888 |
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| author | Tang, Ho Lun Chen, Yanzhu Biswas, Prakriti Magann, Alicia B. Arenz, Christian Economou, Sophia E. |
| author_facet | Tang, Ho Lun Chen, Yanzhu Biswas, Prakriti Magann, Alicia B. Arenz, Christian Economou, Sophia E. |
| contents | We explore a non-variational 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 non-variational 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09736 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-Variational ADAPT algorithm for quantum simulations Tang, Ho Lun Chen, Yanzhu Biswas, Prakriti Magann, Alicia B. Arenz, Christian Economou, Sophia E. Quantum Physics We explore a non-variational 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 non-variational 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. |
| title | Non-Variational ADAPT algorithm for quantum simulations |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2411.09736 |