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quant-ph2023
Polar Duality and the Reconstruction of Quantum Covariance Matrices from Partial Data
Maurice A. de Gosson
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 co…
math-ph2023
Symplectic and Lagrangian Polar Duality; Applications to Quantum Information Geometry
Maurice de Gosson, Charlyne de Gosson
Polar duality is a well-known concept from convex geometry and analysis. In the present paper, we study two symplectically covariant versions of polar duality keeping in mind their…
quant-ph2023
Reconstruction of Gaussian Quantum States from Ideal Position Measurements: Beyond Pauli's Problem, I
Maurice de Gosson
We show that the covariance matrix of a quantum state can be reconstructed from position measurements using the simple notion of polar duality, familiar from convex geometry. In pa…