Quantum data hiding with continuous-variable systems

Suppose we want to benchmark a quantum device held by remote party, e.g. testing its ability carry out challenging measurements outside of free set $\mathcal{M}$. A very simple way do so is up binary state discrimination task that cannot be solved efficiently means measurements. If one can find pairs orthogonal states become arbitrarily indistinguishable under in $\mathcal{M}$, the sense error probability approaches random guess, says there data hiding against Here investigate context continuous variable systems. First, look at case where $\mathcal{M}=\mathrm{LOCC}$, implementable with local operations and classical communication. While previous studies have placed upper bounds on maximum efficiency terms dimension are thus not applicable systems, establish more general rely solely mean photon number employed. Along way, perform rigorous quantitative analysis introduced non-ideal Braunstein-Kimble teleportation protocol, determining how much squeezing detection needed order teleport an arbitrary multi-mode known energy prescribed accuracy. Finally, following seminal proposal Sabapathy Winter, Gaussian assisted feed-forward measurement outcomes, providing first example relatively scheme works single mode only.