Metrological usefulness of entanglement and nonlinear Hamiltonians
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913726052958208 |
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| author | Imai, Satoya Smerzi, Augusto Pezzè, Luca |
| author_facet | Imai, Satoya Smerzi, Augusto Pezzè, Luca |
| contents | A central task in quantum metrology is to exploit quantum correlations to outperform classical sensitivity limits. Metrologically useful entanglement is identified when the quantum Fisher information (QFI) exceeds a separability bound for a given parameter-encoding Hamiltonian. However, so far, only results for linear Hamiltonians are well-established. Here, we characterize metrologically useful entanglement for nonlinear Hamiltonians, presenting separability bounds for collective angular momenta. Also, we provide a general expression for entangled states maximizing the QFI, which can be written as the superposition between the GHZ-like and singlet states. Finally, we compare the metrological usefulness of linear and nonlinear cases, in terms of entanglement detection and random symmetric states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_15703 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Metrological usefulness of entanglement and nonlinear Hamiltonians Imai, Satoya Smerzi, Augusto Pezzè, Luca Quantum Physics A central task in quantum metrology is to exploit quantum correlations to outperform classical sensitivity limits. Metrologically useful entanglement is identified when the quantum Fisher information (QFI) exceeds a separability bound for a given parameter-encoding Hamiltonian. However, so far, only results for linear Hamiltonians are well-established. Here, we characterize metrologically useful entanglement for nonlinear Hamiltonians, presenting separability bounds for collective angular momenta. Also, we provide a general expression for entangled states maximizing the QFI, which can be written as the superposition between the GHZ-like and singlet states. Finally, we compare the metrological usefulness of linear and nonlinear cases, in terms of entanglement detection and random symmetric states. |
| title | Metrological usefulness of entanglement and nonlinear Hamiltonians |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2405.15703 |