A general quantum network for implementing non-local control-unitary gates, between remote parties at minimal entanglement cost, is shown to be a rooted-tree structure. Starting from a five party scenario, we demonstrate the local implementation of simultaneous control-Hermitian and multiparty control-unitary gates in an arbitrary n-party network. Previously established networks are shown to be special cases of this general construct.
Cite
@article{arxiv.1506.08411,
title = {Rooted-tree network for optimal non-local gate implementation},
author = {Nilesh Vyas and Debashis Saha and Prasanta K. Panigrahi},
journal= {arXiv preprint arXiv:1506.08411},
year = {2016}
}