  Connecting quantum computers to a quantum network opens a wide array of new
applications, such as securely performing computations on distributed data
sets. Near-term quantum networks are noisy, however, and hence correctness and
security of protocols are not guaranteed. To study the impact of noise, we
consider a multiparty summation protocol with imperfect shared entangled
states. We study analytically the impact of both depolarising and dephasing
noise on this protocol and the noise patterns arising in the probability
distributions. We conclude by eliminating the need for a trusted third party in
the protocol using Shamir's secret sharing.
