Entangled Husimi operator as a pure state density matrix of two-mode squeezed coherent state

We introduce the entangled Husimi operator Δh(σ,γ,κ)Δh(σ,γ,κ) which is endowed with definite physical meaning, and find that there corresponds a special two-mode squeezed coherent state |σ,γ〉κ|σ,γ〉κ representation such that Δh(σ,γ,κ)=|σ,γ〉κ〈κσ,γ|, a pure state density matrix! The Weyl ordered form and the normally ordered form of Δh(q,p,κ)Δh(q,p,κ) are derived that provides us with an operator version to examine various properties of the entangled Husimi distribution, which is concise and neat.