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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.12699 |
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| _version_ | 1866914872959172608 |
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| author | Escandón-Monardes, J. Uzcátegui, D. Rivera-Tapia, M. Walborn, S. P. Delgado, A. |
| author_facet | Escandón-Monardes, J. Uzcátegui, D. Rivera-Tapia, M. Walborn, S. P. Delgado, A. |
| contents | We propose an estimation procedure for $d$-dimensional unitary transformations. For $d>2$, the unitary transformations close to the identity are estimated saturating the quantum Cramér-Rao bound. For $d=2$, the estimation of all unitary transformations is also optimal with some prior information. We show through numerical simulations that, even in the absence of prior information, two-dimensional unitary transformations can be estimated with greater precision than by means of standard quantum process tomography. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_12699 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Estimation of high-dimensional unitary transformations saturating the Quantum Cramér-Rao bound Escandón-Monardes, J. Uzcátegui, D. Rivera-Tapia, M. Walborn, S. P. Delgado, A. Quantum Physics We propose an estimation procedure for $d$-dimensional unitary transformations. For $d>2$, the unitary transformations close to the identity are estimated saturating the quantum Cramér-Rao bound. For $d=2$, the estimation of all unitary transformations is also optimal with some prior information. We show through numerical simulations that, even in the absence of prior information, two-dimensional unitary transformations can be estimated with greater precision than by means of standard quantum process tomography. |
| title | Estimation of high-dimensional unitary transformations saturating the Quantum Cramér-Rao bound |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2310.12699 |