ArticlePhysical review research
Quantum limits for precisely estimating the orientation and wobble of dipole emitters.
Article in Physical review research. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed.
- Single Fluorogens and Orientation-Localization Microscopy for Quantifying Chemical and Biomolecular Dynamics at the Nanoscale.Accounts of chemical research · 2026Article
- Emission dipole orientation reveals dynamic single-molecule interactions with 2D crystals at solvent interfaces.Nature communications · 2026Article
- Quantum-inspired super-resolution of fluorescent point-like sources.Nature communications · 2026Article
- Separation estimation of two freely rotating dipole emitters near the quantum limit.Physical review. A · 2026Article
- Resolving the Orientations of and Angular Separation Between a Pair of Dipole Emitters.Physical review letters · 2025Article
- Single-molecule orientation-localization microscopy: Applications and approaches.Quarterly reviews of biophysics · 2024Review
- Fundamental Limits in Measuring the Anisotropic Rotational Diffusion of Single Molecules.The journal of physical chemistry. A · 2024Article
- Six-Dimensional Single-Molecule Imaging with Isotropic Resolution using a Multi-View Reflector Microscope.Nature photonics · 2023Article
- Article
- Photon efficient orientation estimation using polarization modulation in single-molecule localization microscopy.Biomedical optics express · 2022Article
- Resolving the Three-Dimensional Rotational and Translational Dynamics of Single Molecules Using Radially and Azimuthally Polarized Fluorescence.Nano letters · 2022Article
- Single-Molecule Localization Microscopy of 3D Orientation and Anisotropic Wobble Using a Polarized Vortex Point Spread Function.The journal of physical chemistry. B · 2021Article
- Simultaneous orientation and 3D localization microscopy with a Vortex point spread function.Nature communications · 2021Article
- Spatio-angular fluorescence microscopy III. Constrained angular diffusion, polarized excitation, and high-NA imaging.Journal of the Optical Society of America. A, Optics, image science, and vision · 2020Article
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Authors and funding
2 authors.
Funding
Abstract
Precisely measuring molecular orientation is key to understanding how molecules organize and interact in soft matter, but the maximum theoretical limit of measurement precision has yet to be quantified. We use quantum estimation theory and Fisher information (QFI) to derive a fundamental bound on the precision of estimating the orientations of rotationally fixed molecules. While direct imaging of the microscope pupil achieves the quantum bound, it is not compatible with wide-field imaging, so we propose an interferometric imaging system that also achieves QFI-limited measurement precision. Extending our analysis to rotationally diffusing molecules, we derive conditions that enable a subset of second-order dipole orientation moments to be measured with quantum-limited precision. Interestingly, we find that no existing techniques can measure all second moments simultaneously with QFI-limited precision; there exists a fundamental trade-off between precisely measuring the mean orientation of a molecule versus its wobble. This theoretical analysis provides crucial insight for optimizing the design of orientation-sensitive imaging systems.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.