The two parties establish a set of shared noisy ebits in the following way. The sender Alice first prepares n Bell states | Φ Φ + ⟩ ⊗ ⊗ n locally. She sends the second qubit of each pair over a noisy quantum channel to a receiver Bob. Let | Φ Φ n + ⟩ be the state | Φ Φ + ⟩ ⊗ ⊗ n rearranged so that all of Alice's qubits are on the left and all of Bob's qubits are on the right. The noisy quantum channel applies a Pauli error in the error set E ⊂ ⊂ Π Π n to the set of n qubits sent over the channel. The sender and receiver then share a set of n noisy ebits of the form ( I ⊗ ⊗ A ) | Φ Φ n + ⟩ where the identity I acts on Alice's qubits and A is some Pauli operator in E acting on Bob's qubits.