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

42.7K
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.
42.7K
Finding Electric Potential From Electric Field01:13

Finding Electric Potential From Electric Field

4.2K
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...
4.2K
Determining Electric Field From Electric Potential01:12

Determining Electric Field From Electric Potential

4.5K
The electric field and electric potential are related to each other. If the electric field at various points in the region of interest is known, it can be used to calculate the electric potential difference between any two points. Similarly, if the electric potential is known for various points, then it is possible to calculate the electric field.
In general, regardless of whether the electric field is uniform, it points in the direction of decreasing potential because the force on a positive...
4.5K
Magnetic Vector Potential01:15

Magnetic Vector Potential

732
In electrostatics, the electric field can be written as the negative gradient of the potential. In magnetostatics, the zero divergence of the magnetic field ensures that the magnetic field can be expressed as the curl of a vector potential. This potential is known as the magnetic vector potential.
Consider an ideal solenoid with n turns per unit length and radius R. If I is the current through the solenoid, the magnetic field inside the solenoid is expressed as the product of vacuum...
732
Electric Field of a Non Uniformly Charged Sphere01:22

Electric Field of a Non Uniformly Charged Sphere

1.6K
Gauss's law states that the electric flux through any closed surface equals the net charge enclosed within the surface. This law is beneficial for determining the expressions for the electric field for a particular charge distribution if the electric flux is known.
Consider a non-uniformly charged sphere, for which the density of charge depends only on the distance from a point in space and not on the direction. Such a sphere has a spherically symmetrical charge distribution. Here, the electric...
1.6K
Electric Potential Energy of Two Point Charges01:12

Electric Potential Energy of Two Point Charges

4.8K
The electric potential energy of a test charge in a uniform eclectic field can be generalized to any electric field produced by static charge distribution. Consider a positive test charge in an electric field produced by another static positive charge. If the test charge is moved away from the static charge, then the electric field does the positive work on the test charge, and the electric potential energy of the test charge decreases as it moves away from the static charge. Here the electric...
4.8K

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

Sparse Quantum State Preparation for Strongly Correlated Systems.

The journal of physical chemistry letters·2024
Same author

Dirac Spatial Search with Electric Fields.

Entropy (Basel, Switzerland)·2021
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

Related Experiment Video

Updated: Aug 16, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

14.6K

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

Thibault Fredon1, Julien Zylberman2, Pablo Arnault1

  • 1Université Paris-Saclay, CNRS, ENS Paris-Saclay, INRIA, Laboratoire Méthodes Formelles, 91190 Gif-sur-Yvette, France.

Entropy (Basel, Switzerland)
|December 23, 2022
PubMed
Summary
This summary is machine-generated.

This study explores a quantum spatial search algorithm using a discrete-time quantum walk (DQW) on a 2D grid. The algorithm demonstrates a robust search capability, even with added noise, showing promise for quantum computing applications.

Keywords:
noisequantum algorithmsquantum spatial searchquantum walks

More Related Videos

Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

12.9K
Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection
12:57

Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection

Published on: October 13, 2017

9.3K

Related Experiment Videos

Last Updated: Aug 16, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

14.6K
Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

12.9K
Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection
12:57

Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection

Published on: October 13, 2017

9.3K

Area of Science:

  • Quantum Computing
  • Quantum Algorithms
  • Condensed Matter Physics

Background:

  • Quantum spatial search algorithms offer potential speedups over classical methods.
  • Discrete-time quantum walks (DQW) are a key framework for developing quantum search algorithms.

Purpose of the Study:

  • To analyze a 2D Dirac discrete-time quantum walk (DQW) coupled to a Coulomb potential for quantum spatial search.
  • To investigate the algorithm's performance and robustness under noisy conditions.

Main Methods:

  • Simulations of a 2D Dirac DQW with a Coulomb electric field acting as the search oracle.
  • Analysis of localization probability and search time scaling with grid size (N).
  • Introduction of spatial and spatiotemporal noise to the Coulomb potential to assess robustness.

Main Results:

  • Observation of a second localization peak around the target node, reached in O(N) time with O(1/lnN) probability.
  • Demonstration of high robustness of the search to spatial noise, particularly for the second localization peak.
  • Significant robustness of the first localization peak to spatiotemporal noise.

Conclusions:

  • The electric Dirac DQW scheme provides an efficient quantum spatial search mechanism.
  • The algorithm exhibits notable resilience to noise, enhancing its practical applicability in quantum systems.