Measurement noise susceptibility in quantum estimation
arXiv:2206.12430 · doi:10.1103/PhysRevLett.130.160802
Abstract
Fisher Information is a key notion in the whole field of quantum metrology. It allows for a direct quantification of maximal achievable precision of estimation of parameters encoded in quantum states using the most general quantum measurement. It fails, however, to quantify the robustness of quantum estimation schemes against measurement imperfections, which are always present in any practical implementations. Here, we introduce a new concept of Fisher Information Measurement Noise Susceptibility that quantifies the potential loss of Fisher Information due to small measurement disturbance. We derive an explicit formula for the quantity, and demonstrate its usefulness in analysis of paradigmatic quantum estimation schemes, including interferometry and super-resolution optical imaging.
arXiv commentWe added Appendix B in which we discuss many different practical noise models, and Appendix F in which we examine the effect of photon correlations on FI MeNoS in super-resolution imaging
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