Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

59.5K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
59.5K
Quantum Numbers02:43

Quantum Numbers

52.1K
It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
52.1K
Probability Laws01:49

Probability Laws

44.4K
Overview
44.4K
Coordination Number and Geometry02:57

Coordination Number and Geometry

19.1K
For transition metal complexes, the coordination number determines the geometry around the central metal ion. Table 1 compares coordination numbers to molecular geometry. The most common structures of the complexes in coordination compounds are octahedral, tetrahedral, and square planar.
19.1K
Predicting Molecular Geometry02:27

Predicting Molecular Geometry

46.1K
VSEPR Theory for Determination of Electron Pair Geometries
46.1K
Behrens–Fisher Test00:57

Behrens–Fisher Test

278
The Behrens-Fisher test is a statistical method designed to address the Behrens-Fisher problem, which arises when comparing the means of two normally distributed populations with unequal variances. Unlike the Student's t-test, which assumes equal variances, the Behrens-Fisher test allows for mean comparison without this restrictive assumption. This flexibility makes it particularly valuable in scenarios where two independent samples exhibit normality but lack variance homogeneity.
This test...
278

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Non-classicality and the effect of one photon.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2024
Same author

Non-reciprocity in photon polarization based on direction of polarizer under gravitational fields.

Scientific reports·2024
Same author

Quantum-Walk-Inspired Dynamic Adiabatic Local Search.

Entropy (Basel, Switzerland)·2023
Same author

A Differential-Geometric Approach to Quantum Ignorance Consistent with Entropic Properties of Statistical Mechanics.

Entropy (Basel, Switzerland)·2023
Same author

Negativity vs. purity and entropy in witnessing entanglement.

Scientific reports·2023
Same author

Gaussian Amplitude Amplification for Quantum Pathfinding.

Entropy (Basel, Switzerland)·2022
Same journal

Erratum: Low-dimensional model for adaptive networks of spiking neurons [Phys. Rev. E 111, 014422 (2025)].

Physical review. E·2026
Same journal

Disentangling the effects of many-body forces on depletion interactions.

Physical review. E·2026
Same journal

Charge transport and mode transition in dual-energy electron beam diodes.

Physical review. E·2026
Same journal

Optimization of multisite reactions in complex compartmentalized media.

Physical review. E·2026
Same journal

Origin of geometric cohesion in nonconvex granular materials: Interplay between interdigitation and rotational constraints enhancing frictional stability.

Physical review. E·2026
Same journal

Interaction of walkers with a standing Faraday wave.

Physical review. E·2026
See all related articles

Related Experiment Video

Updated: Feb 10, 2026

Author Spotlight: Studying Biomechanics of Circulating Cells by Modulating Their Electrodeformation Behavior
09:45

Author Spotlight: Studying Biomechanics of Circulating Cells by Modulating Their Electrodeformation Behavior

Published on: October 13, 2023

2.2K

Decrease of Fisher information and the information geometry of evolution equations for quantum mechanical probability

Carlo Cafaro1, Paul M Alsing2

  • 1SUNY Polytechnic Institute, 12203 Albany, New York, USA.

Physical Review. E
|May 16, 2018
PubMed
Summary
This summary is machine-generated.

Fisher information

More Related Videos

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.7K
Studying Large Amplitude Oscillatory Shear Response of Soft Materials
06:07

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

13.7K

Related Experiment Videos

Last Updated: Feb 10, 2026

Author Spotlight: Studying Biomechanics of Circulating Cells by Modulating Their Electrodeformation Behavior
09:45

Author Spotlight: Studying Biomechanics of Circulating Cells by Modulating Their Electrodeformation Behavior

Published on: October 13, 2023

2.2K
Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.7K
Studying Large Amplitude Oscillatory Shear Response of Soft Materials
06:07

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

13.7K

Area of Science:

  • Statistical physics and quantum computing, exploring information geometry.

Background:

  • Fisher information is increasingly relevant in statistical physics and quantum computing.
  • Its decrease is observed in kinetic theory of gases and constant in Grover's algorithm.

Purpose of the Study:

  • To provide an information geometric characterization of probability amplitude behavior.
  • To analyze computational speed and thermodynamic efficiency in quantum search algorithms.

Main Methods:

  • Investigating Fisher information function forms (constant, exponential decay, power-law decay).
  • Utilizing Riemannian geometrization of thermodynamics for analysis.
  • Characterizing statistical parameter behavior using information geometry.

Main Results:

  • Demonstrated oscillatory or monotonic behavior of squared probability amplitudes.
  • Computed computational speed and availability loss for different Fisher information functions.
  • Established an information geometric framework for analyzing quantum processes.

Conclusions:

  • The study offers insights into the trade-off between speed and efficiency in quantum search.
  • Information geometry provides a tool for optimizing quantum algorithms.
  • Characterizing probability amplitude behavior is key to understanding quantum process dynamics.