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Knowledge of optimal quantum measurements is important for a wide range ofsituations, including quantum communication and quantum metrology. Quantummeasurements are usually optimised with an ideal experimental realisation inmind. Real devices and detectors are, however, imperfect. This has to be takeninto account when optimising quantum measurements. In this paper, we derive theoptimal minimum-cost and minimum-error measurements for a general model ofimperfect detection.

Optimal minimum-cost quantum measurements for imperfect detection