Abstract
By virtue of the Weyl correspondence and based on the the technique of integration within an ordered product of operators, we show under what condition the superoperator's Kraus representation ρ' = σμ Aμ ρA†μ can he deformed as ρ' = (1/π) ∫ d2 α B(α)D(α)ρD†(α), where D(α) is the displacement operator, B(α) is a probability density related to the classical Weyl correspondence of Aμ. An alternate discussion by using the entangled state representation and through a quantum teleportation process is also presented.
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