Propagation of initial uncertainties to Arthurs-Kelly inequality
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910829465567232 |
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| author | Hwang, Mi-Ra Jung, Eylee Park, DaeKil |
| author_facet | Hwang, Mi-Ra Jung, Eylee Park, DaeKil |
| contents | The generalized version of the Arthurs-Kelly inequality is derived when the initial state is a tripartite separable state. When each initial substate obeys the minimal uncertainty, the generalized version reduces to the well-known inequality, i.e. twice of the Heisenberg uncertainty. If the initial probe state is entangled, it is shown that the generalized version of the Arthurs-Kelly inequality can be violated. We show the violation explicitly by introducing a special example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17429 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Propagation of initial uncertainties to Arthurs-Kelly inequality Hwang, Mi-Ra Jung, Eylee Park, DaeKil Quantum Physics High Energy Physics - Theory The generalized version of the Arthurs-Kelly inequality is derived when the initial state is a tripartite separable state. When each initial substate obeys the minimal uncertainty, the generalized version reduces to the well-known inequality, i.e. twice of the Heisenberg uncertainty. If the initial probe state is entangled, it is shown that the generalized version of the Arthurs-Kelly inequality can be violated. We show the violation explicitly by introducing a special example. |
| title | Propagation of initial uncertainties to Arthurs-Kelly inequality |
| topic | Quantum Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.17429 |