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The Pauli Problem for Gaussian Quantum States: Geometric Interpretation
by
de Gosson, Maurice A.
in
covriance matrix
/ Fourier transforms
/ Inequality
/ Mathematics
/ polar duality
/ reconstruction problem
/ Tomography
/ uncertainty principle
/ Uncertainty principles
/ Variables
2021
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Do you wish to request the book?
The Pauli Problem for Gaussian Quantum States: Geometric Interpretation
by
de Gosson, Maurice A.
in
covriance matrix
/ Fourier transforms
/ Inequality
/ Mathematics
/ polar duality
/ reconstruction problem
/ Tomography
/ uncertainty principle
/ Uncertainty principles
/ Variables
2021
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The Pauli Problem for Gaussian Quantum States: Geometric Interpretation
Journal Article
The Pauli Problem for Gaussian Quantum States: Geometric Interpretation
2021
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Overview
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.
Publisher
MDPI AG
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