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The Pauli Problem for Gaussian Quantum States: Geometric Interpretation

Author

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  • Maurice A. de Gosson

    (Faculty of Mathematics (NuHAG), University of Vienna, 1090 Vienna, Austria)

Abstract

We solve the Pauli tomography problem for Gaussian signals using the notion of Schur complement. We relate our results and method to a notion from convex geometry, polar duality. In our context polar duality can be seen as a sort of geometric Fourier transform and allows a geometric interpretation of the uncertainty principle and allows to apprehend the Pauli problem in a rather simple way.

Suggested Citation

  • Maurice A. de Gosson, 2021. "The Pauli Problem for Gaussian Quantum States: Geometric Interpretation," Mathematics, MDPI, vol. 9(20), pages 1-9, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:20:p:2578-:d:655835
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