Canonical Partition Function on a Quantum Computer through Trotter Interpolation
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866916790481715200 |
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| author | Guo, Taozhi Rendon, Gumaro Kshirsagar, Rutuja |
| author_facet | Guo, Taozhi Rendon, Gumaro Kshirsagar, Rutuja |
| contents | In this work, we present a Gibbs state observable estimation algorithm based on Trotter interpolation, which reaches a state-of-the-art quantum computational cost of $ \tilde{O}(β\log{1/ε})$. Our approach saves $\log(Γ)$ ancilla qubits compared with the qubitization-based methods for Hamiltonian with $Γ$ stages. To provide a robust assessment of our approach, we benchmark our results against state-of-the-art methodology using the SYK model as a testbed. Our method provides an efficient alternative method for Gibbs-state accessing based on Trotterization in the context of quantum state preparation and estimation of thermal observables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09318 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Canonical Partition Function on a Quantum Computer through Trotter Interpolation Guo, Taozhi Rendon, Gumaro Kshirsagar, Rutuja Quantum Physics In this work, we present a Gibbs state observable estimation algorithm based on Trotter interpolation, which reaches a state-of-the-art quantum computational cost of $ \tilde{O}(β\log{1/ε})$. Our approach saves $\log(Γ)$ ancilla qubits compared with the qubitization-based methods for Hamiltonian with $Γ$ stages. To provide a robust assessment of our approach, we benchmark our results against state-of-the-art methodology using the SYK model as a testbed. Our method provides an efficient alternative method for Gibbs-state accessing based on Trotterization in the context of quantum state preparation and estimation of thermal observables. |
| title | Canonical Partition Function on a Quantum Computer through Trotter Interpolation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2506.09318 |