We present a framework for the detection and estimation of deformations applied to a grid of sources. Our formalism uses the Hamiltonian formulation of the quantum Fisher information matrix (\textsc{qfim}) as the figure of merit to quantify the amount of information we have on the deformation matrix. Quantum metrology for grid deformations provides an ideal testbed to examine multi-parameter estimations for arbitrarily parameterised channel evolutions with generally non-commuting Hermitian generators. We generalise the local generator of translations for deformation parameters to multi-parameter estimations and use it to explore how well different deformations can be detected and corrected for. This approach holds for any deformation. We explore the application of our theory to the set of affine geometry maps. Both the configuration of the grid and the properties of the sources help to maximise the sensitivity of the \textsc{qfim} to changes in the deformation parameters. For the non-multiplicative Hamiltonian parameterisations resulting from grid rotations about any chosen axis, oscillatory dependence of the \textsc{qfi} surfaces for a specific interplay between mutual source separation distances and grid configurations.
Pulsed single-photon spectroscopy of an emitter with vibrational coupling
University of Warwick（华威大学）；University of Nottingham（诺丁汉大学）；Università di Napoli Federico II（那不勒斯费德里科二世大学）；Università di Parma（帕尔马大学）；INFN—Sezione di Milano-Bicocca（意大利国家核物理研究所米兰-比科卡分部）
Non-Markovian delay-assisted sensing with waveguide-coupled quantum emitters
Wyant College of Optical Sciences, The University of Arizona（亚利桑那大学怀雅特光学学院）；Quantum, Photonics, and Computing Group, RTX BBN Technologies（RTX BBN科技公司量子、光子和计算组）；Department of Electrical and Computer Engineering, University of Maryland（马里兰大学电气与计算机工程系）；Department of Physics, The University of Arizona（亚利桑那大学物理系）
Quantum Information Analysis in a q-Deformed Deng-Fan Model
Prince of Songkla University（宋卡王子大学）；Universiti Malaysia Perlis（马来西亚玻璃市大学）；University of Cross River State（十字河州立大学）；Federal University of Ceará（塞阿拉联邦大学）
Quantum Fisher information from tensor network integration of Lyapunov equation
Institute of Theoretical Physics, Jagiellonian University（雅盖隆大学理论物理研究所）；Mark Kac Complex Systems Research Center, Jagiellonian University（雅盖隆大学马克·卡克复杂系统研究中心）
Quantifying classical and quantum bounds for resolving closely spaced, non-interacting, simultaneously emitting dipole sources in optical microscopy
Center for Biophysics and Quantitative Biology, University of Illinois Urbana-Champaign（伊利诺伊大学厄巴纳-香槟分校生物物理与定量生物学中心）；Illinois Quantum Information Science and Technology Center, University of Illinois Urbana-Champaign（伊利诺伊大学厄巴纳-香槟分校伊利诺伊量子信息科学与技术中心）；Department of Chemistry, University of Illinois Urbana-Champaign（伊利诺伊大学厄巴纳-香槟分校化学系）
Path Integral Approach to Quantum Fisher Information
Eberhard-Karls-Universität Tübingen（蒂宾根大学）；Newcastle University（纽卡斯尔大学）；Lancaster University（兰卡斯特大学）；Universitat de València（瓦伦西亚大学）；CSIC–Universitat de València（西班牙国家研究委员会-瓦伦西亚大学）
Disorder-induced quantum Fisher information in topological quantum systems
BITS Pilani KK Birla Goa Campus（比拉戈亚校园）；Harish-Chandra Research Institute（哈里什-昌德拉研究所）；Homi Bhabha National Institute（霍米·巴巴国立研究所）；Università di Trento（特伦托大学）；INFN-TIFPA, Trento Institute for Fundamental Physics and Applications（意大利国家核物理研究所-基础物理与应用特伦托研究所）
