The Fisher information of single-particle systems with a central potential

2005 ◽  
Vol 414 (4-6) ◽  
pp. 468-472 ◽  
Author(s):  
E. Romera ◽  
P. Sánchez-Moreno ◽  
J.S. Dehesa
Keyword(s):  
Fisher Information ◽  
Single Particle ◽  
Particle Systems ◽  
Central Potential

scholarly journals Information-Efficient, Off-Center Sampling Results in Improved Precision in 3D Single-Particle Tracking Microscopy

Entropy ◽  
2021 ◽  
Vol 23 (5) ◽  
pp. 498
Author(s):  
Chen Zhang ◽  
Kevin Welsher
Keyword(s):  
Fisher Information ◽  
Particle Tracking ◽  
Single Particle ◽  
Biological Samples ◽  
Tracking System ◽  
Single Particle Tracking ◽  
Uniform Sampling ◽  
Single Dimension ◽  
3D Localization ◽  
Particle Localization

In this work, we present a 3D single-particle tracking system that can apply tailored sampling patterns to selectively extract photons that yield the most information for particle localization. We demonstrate that off-center sampling at locations predicted by Fisher information utilizes photons most efficiently. When performing localization in a single dimension, optimized off-center sampling patterns gave doubled precision compared to uniform sampling. A ~20% increase in precision compared to uniform sampling can be achieved when a similar off-center pattern is used in 3D localization. Here, we systematically investigated the photon efficiency of different emission patterns in a diffraction-limited system and achieved higher precision than uniform sampling. The ability to maximize information from the limited number of photons demonstrated here is critical for particle tracking applications in biological samples, where photons may be limited.

scholarly journals Quantum thermodynamics of single particle systems

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Md. Manirul Ali ◽  
Wei-Ming Huang ◽  
Wei-Min Zhang
Keyword(s):  
Single Particle ◽  
Particle Systems ◽  
Quantum Thermodynamics
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