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Relation between Characteristic Function of Density Operator and Tomogram

Fan Hong-Yi1 and Jiang Nian-Quan2

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GENERAL

In terms of the intermediate coordinate-momentum representation (Chin. Phys. Lett. 18 (2001) 850) and using the technique of integration within an ordered product of operators, we put the tomography theory into operator version. We reveal the new relation between the tomogram and the characteristic function of the density operator. The new expansion of the density operator in terms of the intermediate coordinate-momentum representation is also obtained.


PACS

03.65.Wj State reconstruction, quantum tomography

02.30.Tb Operator theory

42.50.-p Quantum optics

03.65.Ta Foundations of quantum mechanics; measurement theory

03.65.Vf Phases: geometric; dynamic or topological

Subjects

Mathematical physics

Optics, quantum optics and lasers

Quantum information and quantum mechanics

Dates

Issue 11 (November 2009)

Received 16 July 2009



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