We consider non-local sensing of scalar signals with specific spatial dependence in the Bayesian regime. We design schemes that allow one to achieve optimal scaling and are immune to noise sources with a different spatial dependence than the signal. This is achieved by using a sensor array of spatially separated sensors and constructing a multi-dimensional decoherence free subspace. While in the Fisher regime with sharp prior and multiple measurements only the spectral range $Δ$ is important, in single-shot sensing with broad prior the number of available energy levels $L$ is crucial. We study the influence of $L$ and $Δ$ also in intermediate scenarios, and show that these quantities can be optimized separately in our setting. This provides us with a flexible scheme that can be adapted to different situations, and is by construction insensitive to given noise sources.
Quantum Advantage in Distributed Sensing with Noisy Quantum Networks
Pritzker School of Molecular Engineering, University of Chicago（芝加哥大学普里茨克分子工程学院）；Mathematics and Computer Science Division, Argonne National Laboratory（阿贡国家实验室数学与计算机科学部）；Data Science and Learning Division, Argonne National Laboratory（阿贡国家实验室数据科学与学习部）；Center for Nanoscale Materials, Argonne National Laboratory（阿贡国家实验室纳米材料中心）
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）
Normalizing Flow-Based Bayesian Parameter Estimation for Noisy Quantum States
National Tsing Hua University（国立清华大学）；Institute of Photonics Technologies, National Tsing Hua University（国立清华大学光子技术研究所）；Department of Physics, National Tsing Hua University（国立清华大学物理系）；Center for Theory and Computation, National Tsing Hua University（国立清华大学理论与计算中心）；Center for Quantum Science and Technology（量子科学与技术中心）
Signal Processing Systems Group, Department of Electrical Engineering, Eindhoven University of Technology（埃因霍温理工大学电子工程系信号处理系统组）；KCLIP lab, Center for Intelligent Information Processing Systems, Department of Engineering, King's College London（伦敦大学金史密斯学院工程系智能信息处理系统中心）
