Entanglement Structure of Non-Gaussian States and How to Measure It
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866918143830523904 |
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| author | Froland, Henry Zache, Torsten V. Ott, Robert Mueller, Niklas |
| author_facet | Froland, Henry Zache, Torsten V. Ott, Robert Mueller, Niklas |
| contents | Rapidly growing capabilities of quantum simulators to probe quantum many-body phenomena require new methods to characterize increasingly complex states. We present a protocol that constrains quantum states by experimentally measured correlation functions which only scales polynomially with system size. This method enables measurement of a quantum state's entanglement structure, opening a new route to study entanglement-related phenomena. Our approach extends Gaussian state parameterizations by systematically incorporating higher-order correlations. We show the protocol's usefulness in conjunction with current and forthcoming experimental capabilities, focusing on weakly interacting fermions as a proof of concept. Here, the lowest non-trivial expansion quantitatively predicts early time thermalization dynamics, including signaling the on-set of quantum chaos indicated by the entanglement Hamiltonian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12083 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Entanglement Structure of Non-Gaussian States and How to Measure It Froland, Henry Zache, Torsten V. Ott, Robert Mueller, Niklas Quantum Physics Quantum Gases High Energy Physics - Lattice Rapidly growing capabilities of quantum simulators to probe quantum many-body phenomena require new methods to characterize increasingly complex states. We present a protocol that constrains quantum states by experimentally measured correlation functions which only scales polynomially with system size. This method enables measurement of a quantum state's entanglement structure, opening a new route to study entanglement-related phenomena. Our approach extends Gaussian state parameterizations by systematically incorporating higher-order correlations. We show the protocol's usefulness in conjunction with current and forthcoming experimental capabilities, focusing on weakly interacting fermions as a proof of concept. Here, the lowest non-trivial expansion quantitatively predicts early time thermalization dynamics, including signaling the on-set of quantum chaos indicated by the entanglement Hamiltonian. |
| title | Entanglement Structure of Non-Gaussian States and How to Measure It |
| topic | Quantum Physics Quantum Gases High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2407.12083 |