Optimal minimum-cost quantum measurements for imperfect detection

TL;DR

This paper derives optimal quantum measurement strategies that minimize cost and error in the presence of imperfect detection, crucial for practical quantum communication and metrology.

Contribution

It introduces a general framework for optimizing quantum measurements considering realistic detector imperfections, advancing practical quantum measurement design.

Findings

Derived optimal measurements for imperfect detectors

Framework applicable to quantum communication and metrology

Improves measurement accuracy in realistic scenarios

Abstract

Knowledge of optimal quantum measurements is important for a wide range of situations, including quantum communication and quantum metrology. Quantum measurements are usually optimised with an ideal experimental realisation in mind. Real devices and detectors are, however, imperfect. This has to be taken into account when optimising quantum measurements. In this paper, we derive the optimal minimum-cost and minimum-error measurements for a general model of imperfect detection.