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

Electric Field of Two Equal and Opposite Charges01:30

Electric Field of Two Equal and Opposite Charges

6.5K
Atoms generally contain the same number of positively and negatively charged particles, protons, and electrons. Hence, they are electrically neutral. However, the centers of the positive and negative charges do not always coincide. In such a scenario, the electric field of an atom may not be zero.
A separation of the positive and negative charges can lead to a weak, remnant effect of the positive and negative charges. The expectation is that the more the distance between the positive and...
6.5K
Electric Field of a Charged Disk01:23

Electric Field of a Charged Disk

2.6K
The simplest case of a surface charge distribution is the uniformly charged disk. Calculating its electric field also helps us calculate the electric field of a large plane of charge.
The system's symmetry is in the cylindrical directions across the plane of the charge. As a result, the electric fields created by various surface charge elements nullify each other in the direction parallel to the surface. Thereby, the resulting electric field is perpendicular to the plane. Since the disk is...
2.6K
Finding Electric Potential From Electric Field01:13

Finding Electric Potential From Electric Field

4.7K
For a system of charges, it is easy to calculate the system's potential because potential is a scalar quantity. However, in some instances where calculating the electric field is more straightforward than finding the potential, the electric field is used to calculate the system's potential. For a positive charge, the electric field is radially outward, and the potential is positive at any finite distance from the positive charge. In such an electric field, the motion away from the...
4.7K
Electrostatic Boundary Conditions in Dielectrics01:27

Electrostatic Boundary Conditions in Dielectrics

1.4K
When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's...
1.4K
Electric Field Lines01:25

Electric Field Lines

8.2K
The three-dimensional representation of the electric field of a positive point charge requires tracing the electric field vectors, whose lengths decrease as the square of their distance from the charge and which point away from the charge at each point. This vector field is no doubt challenging to visualize. The visualization of electric fields becomes quickly intractable as the number of charges increases.
The solution to this problem is to use electric field lines, which are not vectors but...
8.2K
Calculations of Electric Potential II01:27

Calculations of Electric Potential II

1.9K
An electric dipole is a system of two equal but opposite charges, separated by a fixed distance. This system is used to model many real-world systems, including atomic and molecular interactions. One of these systems is the water molecule, but only under certain circumstances. These circumstances are met inside a microwave oven, where electric fields with alternating directions make the water molecules change orientation. This vibration is equivalent to heat at the molecular level.
Consider a...
1.9K

You might also read

Related Articles

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

Sort by
Same author

Polylogarithmic-depth controlled-NOT gates without ancilla qubits.

Nature communications·2024
Same author

Quantum Spatial Search with Electric Potential: Long-Time Dynamics and Robustness to Noise.

Entropy (Basel, Switzerland)·2022
Same author

Quantum walk hydrodynamics.

Scientific reports·2019
Same author

Nonlinear optical Galton board: Thermalization and continuous limit.

Physical review. E, Statistical, nonlinear, and soft matter physics·2015
Same author

Effective dissipation and turbulence in spectrally truncated euler flows.

Physical review letters·2006
Same journal

Research on a Regional Availability Evaluation Model for Road-Area High-Entropy Energy Based on Synergy Factors.

Entropy (Basel, Switzerland)·2026
Same journal

Atmospheric Turbulence Channel Modeling and Performance Analysis of a CO-ZP-OFDM Coherent Optical Communication System for UAV Air-to-Ground Scenarios.

Entropy (Basel, Switzerland)·2026
Same journal

Information Geometry and Asymptotic Theory for SMML Estimators.

Entropy (Basel, Switzerland)·2026
Same journal

Correlation Entropy and Power-Law Kinetics.

Entropy (Basel, Switzerland)·2026
Same journal

Research on the Contagion of Systemic Financial Risk Under the Impact of Climate Risks-From the Perspective of Complex Networks and Machine Learning.

Entropy (Basel, Switzerland)·2026
Same journal

The Statistical-Mechanical Meaning of the Wave Function of Quantum Mechanics.

Entropy (Basel, Switzerland)·2026
See all related articles

Related Experiment Video

Updated: Oct 12, 2025

Finite Element Modelling of a Cellular Electric Microenvironment
08:23

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

3.6K

Dirac Spatial Search with Electric Fields.

Julien Zylberman1, Fabrice Debbasch1

  • 1Sorbonne Université, Observatoire de Paris, Université PSL, CNRS, LERMA, F-75005 Paris, France.

Entropy (Basel, Switzerland)
|November 27, 2021
PubMed
Summary
This summary is machine-generated.

Electric Dirac quantum walks offer a novel spatial search method. These quantum walks localize on a charge, providing a speed-up over conventional techniques for large datasets.

Keywords:
Dirac equationelectric fieldquantum walksspatial search

More Related Videos

Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

9.2K
Electric-field Control of Electronic States in WS2 Nanodevices by Electrolyte Gating
10:36

Electric-field Control of Electronic States in WS2 Nanodevices by Electrolyte Gating

Published on: April 12, 2018

11.7K

Related Experiment Videos

Last Updated: Oct 12, 2025

Finite Element Modelling of a Cellular Electric Microenvironment
08:23

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

3.6K
Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

9.2K
Electric-field Control of Electronic States in WS2 Nanodevices by Electrolyte Gating
10:36

Electric-field Control of Electronic States in WS2 Nanodevices by Electrolyte Gating

Published on: April 12, 2018

11.7K

Area of Science:

  • Quantum Computing
  • Quantum Information Theory
  • Condensed Matter Physics

Background:

  • Quantum walks are a quantum analogue of classical random walks.
  • The Dirac equation describes relativistic electrons and their interaction with electromagnetic fields.
  • Spatial search algorithms aim to find a marked item in an unstructured database.

Purpose of the Study:

  • To revisit electric Dirac quantum walks for spatial search applications.
  • To investigate the use of a Coulomb electric field as a non-local oracle.
  • To analyze the localization behavior and search efficiency of these walks.

Main Methods:

  • Discretization of the Dirac equation for a spinor coupled to an electric field.
  • Implementation of a 2D grid spatial search using a point charge's Coulomb field.
  • Analysis of walk localization time as a function of grid size (N).

Main Results:

  • Electric Dirac quantum walks partially localize on the point charge.
  • Localization time scales linearly with N for small N.
  • Localization time asymptotically approaches a constant for large N, indicating a speed-up.

Conclusions:

  • Electric Dirac quantum walks provide an efficient spatial search mechanism.
  • The observed localization behavior offers a significant speed-up compared to conventional methods.
  • This approach demonstrates potential for practical quantum search algorithms.