Quantum tomography with wavelet transform in Banach space on Homogeneous space

Details Quantum tomography with wavelet transform in Banach space on Homogeneous space Quantum tomography with wavelet transform in Banach space on Homogeneous space

2008-01-25

arxiv.org/abs/0801.4008v1

Eeuopean Physical Journal B, 60, 193-201(2007)

Physics

Quantum Physics

25 pages

Scientific paper

10.1140/epjb/e2007-00330-1

The intimate connection between the Banach space wavelet reconstruction method on homogeneous spaces with both singular and nonsingular vacuum vectors, and some of 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 is explained. Also both the atomic decomposition and banach frame nature of these quantum tomographic examples is explained in details. Finally the connection between the wavelet formalism on Banach space and Q-function is discussed.

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