Radon transformation of the Wigner operator for two-mode correlated system in generalized entangled state representation

H. Y. Fan; G. C. Yu

doi:10.1016/S0217-7323(00)00048-7

Radon transformation of the Wigner operator for two-mode correlated system in generalized entangled state representation

H. Y. Fan
, G. C. Yu

Physics and Astronomy (Twin Cities)

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

We introduce a generalized entangled state |η, λ₁, λ₂), which spans a complete and orthonormal representation. Using the technique of integration within an ordered product of operators we prove that the projection operator |η, λ₁, λ₂> <η, λ₁, λ₂| is just the Radon transformation of the entangled Wigner operator. The inverse Radon transformation is also derived and the tomography theory for two-mode correlated system is established.

Original language	English (US)
Pages (from-to)	499-507
Number of pages	9
Journal	Modern Physics Letters A
Volume	15
Issue number	7
DOIs	https://doi.org/10.1016/S0217-7323(00)00048-7
State	Published - Mar 7 2000

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10.1016/S0217-7323(00)00048-7

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title = "Radon transformation of the Wigner operator for two-mode correlated system in generalized entangled state representation",

abstract = "We introduce a generalized entangled state |η, λ1, λ2), which spans a complete and orthonormal representation. Using the technique of integration within an ordered product of operators we prove that the projection operator |η, λ1, λ2> <η, λ1, λ2| is just the Radon transformation of the entangled Wigner operator. The inverse Radon transformation is also derived and the tomography theory for two-mode correlated system is established.",

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T1 - Radon transformation of the Wigner operator for two-mode correlated system in generalized entangled state representation

AU - Fan, H. Y.

AU - Yu, G. C.

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N2 - We introduce a generalized entangled state |η, λ1, λ2), which spans a complete and orthonormal representation. Using the technique of integration within an ordered product of operators we prove that the projection operator |η, λ1, λ2> <η, λ1, λ2| is just the Radon transformation of the entangled Wigner operator. The inverse Radon transformation is also derived and the tomography theory for two-mode correlated system is established.

AB - We introduce a generalized entangled state |η, λ1, λ2), which spans a complete and orthonormal representation. Using the technique of integration within an ordered product of operators we prove that the projection operator |η, λ1, λ2> <η, λ1, λ2| is just the Radon transformation of the entangled Wigner operator. The inverse Radon transformation is also derived and the tomography theory for two-mode correlated system is established.

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U2 - 10.1016/S0217-7323(00)00048-7

DO - 10.1016/S0217-7323(00)00048-7

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VL - 15

SP - 499

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JO - Modern Physics Letters A

JF - Modern Physics Letters A

IS - 7

ER -

Radon transformation of the Wigner operator for two-mode correlated system in generalized entangled state representation

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