The generalized strong subadditivity of the von Neumann entropy for bosonic quantum systems
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866910509000818688 |
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| author | De Palma, Giacomo Trevisan, Dario |
| author_facet | De Palma, Giacomo Trevisan, Dario |
| contents | We prove a generalization of the strong subadditivity of the von Neumann entropy for bosonic quantum Gaussian systems. Such generalization determines the minimum values of linear combinations of the entropies of subsystems associated to arbitrary linear functions of the quadratures, and holds for arbitrary quantum states including the scenario where the entropies are conditioned on a memory quantum system. We apply our result to prove new entropic uncertainty relations with quantum memory, a generalization of the quantum Entropy Power Inequality, and the linear time scaling of the entanglement entropy produced by quadratic Hamiltonians. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_05627 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The generalized strong subadditivity of the von Neumann entropy for bosonic quantum systems De Palma, Giacomo Trevisan, Dario Quantum Physics Mathematical Physics Functional Analysis Probability We prove a generalization of the strong subadditivity of the von Neumann entropy for bosonic quantum Gaussian systems. Such generalization determines the minimum values of linear combinations of the entropies of subsystems associated to arbitrary linear functions of the quadratures, and holds for arbitrary quantum states including the scenario where the entropies are conditioned on a memory quantum system. We apply our result to prove new entropic uncertainty relations with quantum memory, a generalization of the quantum Entropy Power Inequality, and the linear time scaling of the entanglement entropy produced by quadratic Hamiltonians. |
| title | The generalized strong subadditivity of the von Neumann entropy for bosonic quantum systems |
| topic | Quantum Physics Mathematical Physics Functional Analysis Probability |
| url | https://arxiv.org/abs/2105.05627 |