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arXiv · 2405.02796

Hilbert space-valued Gaussian processes, and quantum states

Palle E. T. Jorgensen·James Tian
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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 (POVMs), and (iv) a new approach/result in inverse problems for quantum measurements.

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Palle E. T. Jorgensen, James Tian. 2024-05-05. Hilbert space-valued Gaussian processes, and quantum states. https://arxiv.org/abs/2405.02796

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