Benchmarking Variational Quantum Eigensolvers for Entanglement Detection in Many-Body Hamiltonian Ground States
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929439440371712 |
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| author | Drinko, Alexandre Correr, Guilherme I. Medina, Ivan Azado, Pedro C. Canabarro, Askery Soares-Pinto, Diogo O. |
| author_facet | Drinko, Alexandre Correr, Guilherme I. Medina, Ivan Azado, Pedro C. Canabarro, Askery Soares-Pinto, Diogo O. |
| contents | Variational quantum algorithms (VQAs) have emerged in recent years as a promise to obtain quantum advantage. These task-oriented algorithms work in a hybrid loop combining a quantum processor and classical optimization. Using a specific class of VQA named variational quantum eigensolvers (VQEs), we choose some parameterized quantum circuits to benchmark them at entanglement witnessing and entangled ground state detection for many-body systems described by Heisenberg Hamiltonian, varying the number of qubits and shots. Quantum circuits whose structure is inspired by the Hamiltonian interactions presented better results on cost function estimation than problem-agnostic circuits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_04453 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Benchmarking Variational Quantum Eigensolvers for Entanglement Detection in Many-Body Hamiltonian Ground States Drinko, Alexandre Correr, Guilherme I. Medina, Ivan Azado, Pedro C. Canabarro, Askery Soares-Pinto, Diogo O. Quantum Physics Variational quantum algorithms (VQAs) have emerged in recent years as a promise to obtain quantum advantage. These task-oriented algorithms work in a hybrid loop combining a quantum processor and classical optimization. Using a specific class of VQA named variational quantum eigensolvers (VQEs), we choose some parameterized quantum circuits to benchmark them at entanglement witnessing and entangled ground state detection for many-body systems described by Heisenberg Hamiltonian, varying the number of qubits and shots. Quantum circuits whose structure is inspired by the Hamiltonian interactions presented better results on cost function estimation than problem-agnostic circuits. |
| title | Benchmarking Variational Quantum Eigensolvers for Entanglement Detection in Many-Body Hamiltonian Ground States |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2407.04453 |