Hilbert space-valued Gaussian processes, and quantum states
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917943481204736 |
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| author | Jorgensen, Palle E. T. Tian, James |
| author_facet | Jorgensen, Palle E. T. Tian, James |
| contents | We offer new results and new directions in the study of operator-valued kernels and their factorizations. Our approach provides both more explicit realizations and new results, as well as new applications. These include: (i) an explicit covariance analysis for Hilbert space-valued Gaussian processes, (ii) optimization results for quantum gates (from quantum information), (iii) new results for positive operator-valued measures (POVMs), and (iv) a new approach/result in inverse problems for quantum measurements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_02796 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hilbert space-valued Gaussian processes, and quantum states Jorgensen, Palle E. T. Tian, James Quantum Physics Functional Analysis 46E22, 46N50, 47A20, 47B32, 47N50, 60G15, 81P15 We offer new results and new directions in the study of operator-valued kernels and their factorizations. Our approach provides both more explicit realizations and new results, as well as new applications. These include: (i) an explicit covariance analysis for Hilbert space-valued Gaussian processes, (ii) optimization results for quantum gates (from quantum information), (iii) new results for positive operator-valued measures (POVMs), and (iv) a new approach/result in inverse problems for quantum measurements. |
| title | Hilbert space-valued Gaussian processes, and quantum states |
| topic | Quantum Physics Functional Analysis 46E22, 46N50, 47A20, 47B32, 47N50, 60G15, 81P15 |
| url | https://arxiv.org/abs/2405.02796 |