Quantum physics holds the promise of enabling certain tasks with better performance than possible when only classical resources are employed. The quantum phenomena present in many experiments signify nonclassical behavior, but do not always imply superior performance. Quantifying the enhancement achieved from quantum behavior requires careful analysis of the resources involved. We analyze the specific case of parameter estimation using an optical interferometer, where increased precision can be achieved using quantum probe states. Common performance measures are examined and it is shown that some overestimate the improvement. For the simplest experimental case we compare the different measures and show this overestimate explicitly. We give the preferred analysis of real-world experiments and calculate benchmark values for experimental parameters necessary to realize a precision enhancement.
Quantum Cramer-Rao Precision Limit of Noisy Continuous Sensing
Hefei National Laboratory, University of Science and Technology of China(中国科学技术大学合肥国家实验室);Shanghai Research Center for Quantum Sciences and CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China(中国科学技术大学上海量子科学研究中心及中科院量子信息与量子物理卓越创新中心);Institut für Theoretische Physik and IQST, Universität Ulm(乌尔姆大学理论物理研究所和IQST);Department of Physics, Indian Institute of Technology (BHU), Varanasi(瓦拉纳西印度理工学院(贝拿勒斯)物理系)
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