Suppose that Alice and Bob are in possession of m copies of | ψ ψ ⟩ ⟩ . Alice can perform a measurement onto the typical set A ϵ ϵ ( n ) subset of p ψ ψ , converting the state | ψ ψ ⟩ ⟩ ⊗ ⊗ m → → | ϕ ϕ m ⟩ ⟩ with high fidelity. The theorem of typical sequences then shows us that 1 − − δ δ is the probability that the given sequence is part of the typical set, and may be made arbitrarily close to 1 for sufficiently large m, and therefore the Schmidt coefficients of the renormalized Bell state | ϕ ϕ m ′ ⟩ ⟩ will be at most a factor 1 / 1 − − δ δ larger. Alice and Bob can now obtain a smaller set of n Bell states by performing LOCC on the state | ϕ ϕ m ′ ⟩ ⟩ with which they can overcome the noise of a quantum channel to communicate successfully.