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Given a quantum system $S$ entangled with another system $I$, theentanglement testing problem arises, prompting the identification of the system$S$ within a set of $m \ge 2$ identical systems. This scenario serves as amodel for the measurement task encountered in quantum ranging andentanglement-assisted communication [Phys. Rev. Lett. 126, 240501, (2021)]. Inthis context, the optimal measurement approach typically involves jointmeasurements on all $m+1$ systems. However, we demonstrate that this is not thecase when the subsystems containing system $S$ are subjected toentanglement-breaking noise. Our approach utilizes the recently developedmeasurement technique of correlation-to-displacement conversion. We present astructured design for the entanglement testing measurement, implementable withlocal operations and classical communications (LOCC) on the $m+1$ systems.Furthermore, we prove that this measurement approach achieves optimality interms of error probability asymptotically under noisy conditions. When appliedto quantum illumination, our measurement design enables optimal ranging inscenarios with low signal brightness and high levels of noise. Similarly, whenapplied to entanglement-assisted classical communication, the measurementdesign leads to a significant relative advantage in communication rates,particularly in scenarios with low signal brightness.

Optimal noisy entanglement testing for ranging and communication