Related Experiment Video
Updated: Mar 11, 2026

15:04
Picometer-Precision Atomic Position Tracking through Electron Microscopy
Published on: July 3, 2021
8.4K
Ultimate Precision Bound of Quantum and Subwavelength Imaging
Cosmo Lupo1, Stefano Pirandola1,2
1York Centre for Quantum Technologies (YCQT), University of York, York YO10 5GH, United Kingdom.
Physical Review Letters
|November 19, 2016
Summary
Quantum imaging can enhance resolution for imaging devices. Quantum-correlated sources enable super-resolution beyond the classical limit, improving astronomical and microscopy applications.
Area of Science:
- Quantum optics
- Optical imaging
- Quantum metrology
Background:
- Far-field imaging is limited by diffraction.
- Current resolution limits hinder detailed observation in various scientific fields.
Purpose of the Study:
- To determine the ultimate potential of quantum imaging for enhancing resolution in diffraction-limited systems.
- To establish the precision bounds for resolving pointlike sources using quantum mechanics.
Main Methods:
- Formulating source separation estimation as a channel parameter estimation problem.
- Calculating precision bounds for arbitrary quantum states and thermal sources.
- Investigating the role of quantum correlations in super-resolution.
Main Results:
- The precision bound scales with photon number following the standard quantum limit.
- Quantum-correlated sources (entangled or discordant) allow for super-resolution below the Rayleigh scale.
- A simple formula for the precision bound of two thermal sources was derived.
Conclusions:
- Quantum imaging offers a pathway to overcome classical resolution limits.
- Exploiting quantum correlations in sources is key to achieving super-resolution.
- These findings have broad implications for astronomical observation and microscopy.
Related Concept Videos
The Uncertainty Principle
34.0K
Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
34.0K
Imaging Biological Samples with Optical Microscopy
12.0K
Optical microscopy uses optic principles to provide detailed images of samples. Antonie van Leeuwenhoek designed the first compound optical microscope in the 17th century to visualize blood cells, bacteria, and yeast cells. In 1830, Joseph Jackson Lister created an essentially modern light microscope. The 20th century saw the development of microscopes with enhanced magnification and resolution.
In optical microscopy, the specimen to be viewed is placed on a glass slide and clipped on the stage...
In optical microscopy, the specimen to be viewed is placed on a glass slide and clipped on the stage...
12.0K
Super-resolution Fluorescence Microscopy
14.7K
Super-resolution fluorescence microscopy (SRFM) provides a better resolution than conventional fluorescence microscopy by reducing the point spread function (PSF). PSF is the light intensity distribution from a point that causes it to appear blurred. Due to PSF, each fluorescing point appears bigger than its actual size, and it is the PSF interference of nearby fluorophores that causes the blurred image. Various approaches to achieving higher resolution through SRFM have recently been...
14.7K
Overview of Microscopy Techniques
17.5K
The early pioneers of microscopy opened a window into the invisible world of microorganisms. In 1830, Joseph Jackson Lister created an essentially modern light microscope. The 20th century saw the development of microscopes that leveraged nonvisible light, such as fluorescence microscopy that uses an ultraviolet light source and electron microscopy that uses short-wavelength electron beams. These advances significantly improved magnification, image resolution, and contrast. By comparison, the...
17.5K
Overview of Electron Microscopy
16.1K
The wavelengths of visible light ultimately limit the maximum theoretical resolution of images created by light microscopes. Most light microscopes can only magnify 1000X, and a few can magnify up to 1500X. Electrons, like electromagnetic radiation, can behave like waves, but with wavelengths of 0.005 nm, they produce significantly greater resolution up to 0.05 nm as compared to 500 nm for visible light. An electron microscope (EM) can create a sharp image that is magnified up to 2,000,000X.
16.1K
The de Broglie Wavelength
34.2K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
34.2K

