Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Symmetry in Maxwell's Equations

Symmetry in Maxwell's Equations

Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...

Gauss's Law: Planar Symmetry

Gauss's Law: Planar Symmetry

A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...

Divergence and Stokes' Theorems

Divergence and Stokes' Theorems

The divergence and Stokes' theorems are a variation of Green's theorem in a higher dimension. They are also a generalization of the fundamental theorem of calculus. The divergence theorem and Stokes' theorem are in a way similar to each other; The divergence theorem relates to the dot product of a vector, while Stokes' theorem relates to the curl of a vector. Many applications in physics and engineering make use of the divergence and Stokes' theorems, enabling us to write...

Second Derivatives and the Shape of a Graph

Second Derivatives and the Shape of a Graph

The second derivative of a function provides essential information about a graph's curvature and how it changes over an interval. It helps determine whether a function is concave upward or concave downward and identifies points where the curvature changes. These properties are fundamental in analyzing real-world scenarios, such as changes in road elevation, population growth, and economic trends.A function f(x) is considered concave upward on an interval if its graph lies above all its tangent...

First Derivatives and the Shape of a Graph

First Derivatives and the Shape of a Graph

In calculus, the concept of the first derivative plays a crucial role in understanding the behavior of a function over its domain. The first derivative, denoted as f’(x), provides insight into how a function changes at any given point, much like a cyclist adjusting speed along a winding trail. By analyzing the first derivative, mathematicians can determine where a function is increasing, decreasing, or reaching critical points.The first derivative provides a precise method for classifying...

Graphs of Polar Equations

Graphs of Polar Equations

The polar coordinate system represents points using a distance from a central point (the pole) and an angle from a reference direction (the polar axis). Unlike rectangular coordinates, polar coordinates are ideal for graphing curves with radial symmetry or periodic behavior.Some general forms of graphs in polar coordinates include the following:Equation of a Circle (Centered at the Pole):A graph where the radius remains constant for all angles traces a circle centered at the pole:Equation of a...

You might also read

Related Articles

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

Sort by

Same author

Non-linear relationships between inflammatory indices and erectile dysfunction in a group of young men living with HIV.

Basic and clinical andrology·2026

Same author

Simultaneous measurement of piperacillin, tazobactam and meropenem in patient samples using LC-MS/MS to support β-lactam therapeutic drug monitoring.

Analytical methods : advancing methods and applications·2026

Same author

A Prospective Real-World Study Evaluating the Feasibility and Diagnostic Yield of Patient-Recorded Smartwatch EKGs During Palpitations: The WATCHinTIME Study.

Journal of clinical medicine·2026

Same author

Dual-chamber pacing for vasovagal syncope: A systematic review and meta-analysis of randomized controlled trials.

International journal of cardiology. Heart & vasculature·2026

Same author

Very high-power short duration radiofrequency ablation to achieve pulmonary vein isolation: the AIR HPSD registry.

Journal of interventional cardiac electrophysiology : an international journal of arrhythmias and pacing·2026

Same author

Adherence to consensus-based implantable cardioverter-defibrillator programming and impact on therapy delivery in clinical practice: A national cohort study.

Heart rhythm O2·2026

Search research articles

Related Experiment Video

Updated: May 7, 2026

Quantifying Intermembrane Distances with Serial Image Dilations

Quantifying Intermembrane Distances with Serial Image Dilations

Published on: September 28, 2018

Characterizing graph symmetries through quantum Jensen-Shannon divergence.

Luca Rossi¹, Andrea Torsello, Edwin R Hancock

¹Dipartimento di Scienze Ambientali, Informatica e Statistica, Università Ca' Foscari Venezia, Via Torino 155, 30172 Venezia, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|October 16, 2013

Summary

This study links quantum walks and graph symmetries using quantum Jensen-Shannon divergence. Maximum divergence between quantum walks indicates graph symmetries, enabling symmetry characterization.

More Related Videos

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source

Published on: April 4, 2017

Related Experiment Videos

Last Updated: May 7, 2026

Quantifying Intermembrane Distances with Serial Image Dilations

Quantifying Intermembrane Distances with Serial Image Dilations

Published on: September 28, 2018

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source

Published on: April 4, 2017

Area of Science:

Quantum Information Science
Graph Theory
Quantum Computing

Background:

Quantum walks are a fundamental primitive in quantum computation.
Graph symmetries play a crucial role in understanding graph structures.
Analyzing quantum walk behavior without wave function collapse is an open challenge.

Purpose of the Study:

To investigate the relationship between quantum walks and graph symmetries.
To develop a method for analyzing quantum walks on graphs without wave function collapse.
To quantify graph symmetry using quantum information-theoretic tools.

Main Methods:

Designing an experimental framework to analyze quantum walks without wave function collapse.
Utilizing the quantum Jensen-Shannon divergence to compare quantum walk evolutions.
Assigning divergence values to node pairs and averaging to characterize graph symmetry.

Main Results:

Quantum Jensen-Shannon divergence is maximized for quantum walks on graphs with symmetries.
A novel method is established to measure graph symmetry via quantum walk behavior.
The quantum Jensen-Shannon divergence serves as a robust indicator of graph symmetries.

Conclusions:

Quantum walks can be effectively used to detect and quantify graph symmetries.
The quantum Jensen-Shannon divergence provides a powerful tool for analyzing quantum systems on graphs.
This research bridges quantum information theory and graph analysis, opening new avenues for research.