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| Format: | Preprint |
| Veröffentlicht: |
2026
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| Online-Zugang: | https://arxiv.org/abs/2603.04499 |
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| _version_ | 1866915835161870336 |
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| author | Nadon, Guy-Philippe Heng, Guanyi Gasnier, Pacôme Lemelin, Antoine Coti, Camille Zilic, Zeljko Möttönen, Mikko Kotovirta, Ville Annala, Toni Campos, Ernesto Biamonte, Jacob |
| author_facet | Nadon, Guy-Philippe Heng, Guanyi Gasnier, Pacôme Lemelin, Antoine Coti, Camille Zilic, Zeljko Möttönen, Mikko Kotovirta, Ville Annala, Toni Campos, Ernesto Biamonte, Jacob |
| contents | The preparation and certification of quantum states is a fundamental challenge across quantum information technology. We introduce a tomography-free state certification method that lower-bounds the fidelity by estimating expectation values of engineered parent-Hamiltonian terms from local measurement data. We apply this framework to construct a parent Hamiltonian that enables certification and variational optimization across the Dicke-state family, which includes the single-excitation $W_n$ state. We experimentally validate the framework on IBM quantum hardware, certifying genuine multipartite entanglement for $W_n$ states up to six qubits and establishing positive lower bounds on the state fidelity up to thirteen qubits. For Dicke states with two- and three-excitations, we certify genuine multipartite entanglement up to seven qubits. Within this stringent certification framework, these results constitute among the largest witness-certified demonstrations of such states on a programmable quantum processor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_04499 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum State Certification via Effective Parent Hamiltonians from Local Measurement Data Nadon, Guy-Philippe Heng, Guanyi Gasnier, Pacôme Lemelin, Antoine Coti, Camille Zilic, Zeljko Möttönen, Mikko Kotovirta, Ville Annala, Toni Campos, Ernesto Biamonte, Jacob Quantum Physics The preparation and certification of quantum states is a fundamental challenge across quantum information technology. We introduce a tomography-free state certification method that lower-bounds the fidelity by estimating expectation values of engineered parent-Hamiltonian terms from local measurement data. We apply this framework to construct a parent Hamiltonian that enables certification and variational optimization across the Dicke-state family, which includes the single-excitation $W_n$ state. We experimentally validate the framework on IBM quantum hardware, certifying genuine multipartite entanglement for $W_n$ states up to six qubits and establishing positive lower bounds on the state fidelity up to thirteen qubits. For Dicke states with two- and three-excitations, we certify genuine multipartite entanglement up to seven qubits. Within this stringent certification framework, these results constitute among the largest witness-certified demonstrations of such states on a programmable quantum processor. |
| title | Quantum State Certification via Effective Parent Hamiltonians from Local Measurement Data |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2603.04499 |