The Pauli Problem for Gaussian Quantum States: Geometric Interpretation

de Gosson, Maurice A.

doi:10.3390/math9202578

The Pauli Problem for Gaussian Quantum States: Geometric Interpretation

Maurice A. de Gosson
(
- Vienna U.
)

Oct 14, 2021

Published in:

Mathematics 9 (2021) 20, 2578

Published: Oct 14, 2021

DOI:

10.3390/math9202578

reference search3 citations

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Abstract: (submitter)

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.

References(27)

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