Variational ground-state quantum adiabatic theorem
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914838840606720 |
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| author | Žunkovič, Bojan Torta, Pietro Pecci, Giovanni Lami, Guglielmo Collura, Mario |
| author_facet | Žunkovič, Bojan Torta, Pietro Pecci, Giovanni Lami, Guglielmo Collura, Mario |
| contents | We present a variational quantum adiabatic theorem, which states that, under certain assumptions, the adiabatic dynamics projected onto a variational manifold follow the instantaneous variational ground state. We focus on low-entanglement variational manifolds and target Hamiltonians with classical ground states. Despite the presence of highly entangled intermediate states along the exact quantum annealing path, the variational evolution converges to the target ground state. We demonstrate this approach with several examples that align with our theoretical analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12392 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Variational ground-state quantum adiabatic theorem Žunkovič, Bojan Torta, Pietro Pecci, Giovanni Lami, Guglielmo Collura, Mario Quantum Physics Data Structures and Algorithms We present a variational quantum adiabatic theorem, which states that, under certain assumptions, the adiabatic dynamics projected onto a variational manifold follow the instantaneous variational ground state. We focus on low-entanglement variational manifolds and target Hamiltonians with classical ground states. Despite the presence of highly entangled intermediate states along the exact quantum annealing path, the variational evolution converges to the target ground state. We demonstrate this approach with several examples that align with our theoretical analysis. |
| title | Variational ground-state quantum adiabatic theorem |
| topic | Quantum Physics Data Structures and Algorithms |
| url | https://arxiv.org/abs/2406.12392 |