Journal article
Hilbert space-valued Gaussian processes, and quantum states
Journal of mathematical physics, Vol.66(5), 053503
05/2025
DOI: 10.1063/5.0229971
Abstract
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, and (iv) a new approach/result in inverse problems for quantum measurements.
Details
- Title: Subtitle
- Hilbert space-valued Gaussian processes, and quantum states
- Creators
- Palle E. T. Jorgensen - University of IowaJames Tian - Mathematical Reviews
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical physics, Vol.66(5), 053503
- DOI
- 10.1063/5.0229971
- ISSN
- 0022-2488
- eISSN
- 1089-7658
- Publisher
- AIP Publishing; MELVILLE
- Number of pages
- 11
- Language
- English
- Date published
- 05/2025
- Academic Unit
- Mathematics
- Record Identifier
- 9984815911602771
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