Null dimension witness based on single measurements
Fuente:
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_ | 1866913234656690176 |
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| author | Batle, Josep Bednorz, Adam |
| author_facet | Batle, Josep Bednorz, Adam |
| contents | We present a null witness of the dimension of a quantum system, discriminating real, complex and classical spaces, based on equality due to linear independence. The witness involves only a single measurement with sufficiently many outcomes and prepared input states. In addition, for intermediate dimensions, the witness bounds saturate for a family of equiangular tight frames including symmetric informationally complete positive operator valued measures. Such a witness requires a minimum of resources, being robust against many practical imperfections. We also discuss errors due to finite statistics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_08395 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Null dimension witness based on single measurements Batle, Josep Bednorz, Adam Quantum Physics We present a null witness of the dimension of a quantum system, discriminating real, complex and classical spaces, based on equality due to linear independence. The witness involves only a single measurement with sufficiently many outcomes and prepared input states. In addition, for intermediate dimensions, the witness bounds saturate for a family of equiangular tight frames including symmetric informationally complete positive operator valued measures. Such a witness requires a minimum of resources, being robust against many practical imperfections. We also discuss errors due to finite statistics. |
| title | Null dimension witness based on single measurements |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2305.08395 |