Theorem on nonclassical states

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Abstract
Let the density matrix of an arbitrary state be expressed in terms of number states as ρ^=∑n=0∞ ∑m=0∞ρ(n,m)‖n〉〈m mU. We prove the following theorem: If ρ(0,0)=0, then the state is as nonclassical as possible according to the measure introduced by Lee [Phys. Rev. A 44, R2775 (1991)].