Fisher information and Rényi dimensions: A thermodynamical formalism

2016 ◽  
Vol 26 (8) ◽  
pp. 083102 ◽  
Author(s):  
B. Godó ◽  
Á. Nagy
Keyword(s):  
Fisher Information ◽  
Thermodynamical Formalism

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.

Quantum Fisher Information of Two Moving Four-Level Atoms

2020 ◽  
Vol 41 (3) ◽  
pp. 310-320
Author(s):  
S. Jamal Anwar ◽  
M. Usman ◽  
M. Ramzan ◽  
M. Khalid Khan
Keyword(s):  
Fisher Information ◽  
Quantum Fisher Information

scholarly journals Quantum scheme of dissipative two qubits in a squeezed field: Entanglement and Fisher information

2021 ◽  
Vol 60 (3) ◽  
pp. 3411-3417
Author(s):  
S. Abdel-Khalek ◽  
E.M. Khalil ◽  
Hammad Alotaibi ◽  
S.M. Abo-Dahab ◽  
Emad E. Mahmoud ◽  
...  
Keyword(s):  
Fisher Information
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