Abstract:
Quantum information science takes advantage of the curious properties of quantum mechanics
in order to design protocols for information processing that lie beyond the capability of their
classical counterparts. This review focuses on continuous-variable graph states for regular net
work structures with an eye on cost as a figure of merit quantifying both the required squeezing
and the number of needed squeezed modes to build up the network. An analytic formula has
been deduced for the experimental resources needed to realize those graph states; it is shown
that scaling of squeezing cost with network size depends directly on its topology. In addition,
the effect of introducing loss is investigated, which further decreases the squeezing cost, and the
performance of the squeezing is strongly dependent on both the structure and surroundings of
the network. These findings can provide important insight into the design and optimization of quantum networks
