Minimal orthonormal bases for pure quantum state estimation
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866913232466214912 |
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| author | Zambrano, Leonardo Pereira, Luciano Delgado, Aldo |
| author_facet | Zambrano, Leonardo Pereira, Luciano Delgado, Aldo |
| contents | We present an analytical method to estimate pure quantum states using a minimum of three measurement bases in any finite-dimensional Hilbert space. This is optimal as two bases are insufficient to construct an informationally complete positive operator-valued measurement (IC-POVM) for pure states. We demonstrate our method using a binary tree structure, providing an algorithmic path for implementation. The performance of the method is evaluated through numerical simulations, showcasing its effectiveness for quantum state estimation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_08774 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Minimal orthonormal bases for pure quantum state estimation Zambrano, Leonardo Pereira, Luciano Delgado, Aldo Quantum Physics We present an analytical method to estimate pure quantum states using a minimum of three measurement bases in any finite-dimensional Hilbert space. This is optimal as two bases are insufficient to construct an informationally complete positive operator-valued measurement (IC-POVM) for pure states. We demonstrate our method using a binary tree structure, providing an algorithmic path for implementation. The performance of the method is evaluated through numerical simulations, showcasing its effectiveness for quantum state estimation. |
| title | Minimal orthonormal bases for pure quantum state estimation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2305.08774 |