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arXiv · 2312.14823

Polar Duality and the Reconstruction of Quantum Covariance Matrices from Partial Data

Maurice A. de Gosson
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Abstract

We address the problem of the reconstruction of quantum covariance matrices using the notion of Lagrangian and symplectic polar duality introduced in previous work. We apply our constructions to Gaussian quantum states which leads to a non-trivial generalization of Pauli's reconstruction problem and we state a simple tomographic characterization of such states.

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BibTeXRIS

Maurice A. de Gosson. 2023-12-22. Polar Duality and the Reconstruction of Quantum Covariance Matrices from Partial Data. https://arxiv.org/abs/2312.14823

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