  When an observable is measured on an evolving coherent quantum system twice,
the first measurement generally alters the statistics of the second one, which
is known as measurement back-action. We introduce, and push to its theoretical
and experimental limits, a novel method of back-action evasion, whereby
entangled collective measurements are performed on several copies of the
system. This method is inspired by a similar idea designed for the problem of
measuring quantum work [Perarnau-Llobet \textit{et al}.,
(https://doi.org/10.1103/PhysRevLett.118.070601) Phys. Rev. Lett. \textbf{118},
070601 (2017)]. By utilizing entanglement as a resource, we show that the
back-action can be extremely suppressed compared to all previous schemes.
Importantly, the back-action can be eliminated in highly coherent processes.
