Quantum tomography with wavelet transform in Banach space on homogeneous space |
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| Authors: | M Mirzaee M Rezaei M A Jafarizadeh |
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| Institution: | (1) Department of Physics, Arak University, Arak, Iran;(2) Department of Theoretical Physics and Astrophysics, Tabriz University, Tabriz, 51664, Iran;(3) Institute for Studies in Theoretical Physics and Mathematics, Tehran, 19395-1795, Iran;(4) Research Institute for Fundamental Sciences, Tabriz, 51664, Iran |
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| Abstract: | In this study the intimate connection is established between the
Banach space wavelet reconstruction method on homogeneous spaces
with both singular and nonsingular vacuum vectors, and some of the
well known quantum tomographies, such as: Moyal-representation for a
spin, discrete phase space tomography, tomography of a free
particle, Homodyne tomography, phase space tomography and SU(1,1)
tomography. And both the atomic decomposition and the Banach frame
nature of these quantum tomographic examples are also revealed in
details. Finally the connection between the wavelet formalism on
Banach space and Q-function is discussed. |
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| Keywords: | 03 65 Ud Entanglement and quantum nonlocality (e g EPR paradox Bell's inequalities GHZ states etc ) |
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