Experimental entropic uncertainty relations in dimensions three to five
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866918085323128832 |
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| author | Serino, Laura Chesi, Giovanni Brecht, Benjamin Maccone, Lorenzo Macchiavello, Chiara Silberhorn, Christine |
| author_facet | Serino, Laura Chesi, Giovanni Brecht, Benjamin Maccone, Lorenzo Macchiavello, Chiara Silberhorn, Christine |
| contents | We provide experimental validation of tight entropic uncertainty relations for the Shannon entropies of observables with mutually unbiased eigenstates in high dimensions. In particular, we address the cases of dimensions $d = 3$, $4$ and $5$ and consider from $2$ to $d+1$ mutually unbiased bases. The experiment is based on pulsed frequency bins measured with a multi-output quantum pulse gate, which can perform projective measurements on a complete high-dimensional basis in the time-frequency domain. Our results fit the theoretical predictions: the bound on the sum of the entropies is never violated and is saturated by the states that minimize the uncertainty relations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_05025 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Experimental entropic uncertainty relations in dimensions three to five Serino, Laura Chesi, Giovanni Brecht, Benjamin Maccone, Lorenzo Macchiavello, Chiara Silberhorn, Christine Quantum Physics Optics We provide experimental validation of tight entropic uncertainty relations for the Shannon entropies of observables with mutually unbiased eigenstates in high dimensions. In particular, we address the cases of dimensions $d = 3$, $4$ and $5$ and consider from $2$ to $d+1$ mutually unbiased bases. The experiment is based on pulsed frequency bins measured with a multi-output quantum pulse gate, which can perform projective measurements on a complete high-dimensional basis in the time-frequency domain. Our results fit the theoretical predictions: the bound on the sum of the entropies is never violated and is saturated by the states that minimize the uncertainty relations. |
| title | Experimental entropic uncertainty relations in dimensions three to five |
| topic | Quantum Physics Optics |
| url | https://arxiv.org/abs/2507.05025 |