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

Eccentricity of an Ellipse01:27

Eccentricity of an Ellipse

745
An ellipse is a fundamental conic section defined by the constant sum of distances from any point on its curve to two fixed points, known as the foci. This geometric property can be physically demonstrated using a pencil, string, and two pins. By anchoring the string at both ends and maintaining it taut with a pencil, one can trace the outline of an ellipse.The shape and extent of the ellipse are determined by its eccentricity, e, defined as the ratio of the distance between the center and a...
745
Angular Momentum about an Arbitrary Axis01:11

Angular Momentum about an Arbitrary Axis

519
Imagine a rigid body with a mass denoted as 'm', which has its center of mass at point G and is rotating around an inertial reference frame. The angular momentum at an arbitrary point P can be calculated by taking the cross product of the position vector and linear momentum vector for each individual mass element.
The velocity of a mass element comprises its translational velocity and the relative velocity instigated by the body's rotation. Substituting the velocity equation into...
519
Curvilinear Motion: Polar Coordinates01:27

Curvilinear Motion: Polar Coordinates

1.2K
In polar coordinates, the motion of a particle follows a curvilinear path. The radial coordinate symbolized as 'r,' extends outward from a fixed origin to the particle, while the angular coordinate, 'θ,' measured in radians, represents the counterclockwise angle between a fixed reference line and the radial line connecting the origin to the particle.
The particle's location is described using a unit vector along the radial direction. Deriving the particle's position...
1.2K
Spherical Coordinates01:23

Spherical Coordinates

12.1K
Spherical coordinate systems are preferred over Cartesian, polar, or cylindrical coordinates for systems with spherical symmetry. For example, to describe the surface of a sphere, Cartesian coordinates require all three coordinates. On the other hand, the spherical coordinate system requires only one parameter: the sphere's radius. As a result, the complicated mathematical calculations become simple. Spherical coordinates are used in science and engineering applications like electric and...
12.1K
Circular Orbits and Critical Velocity for Satellites01:16

Circular Orbits and Critical Velocity for Satellites

2.8K
The Moon orbits around the Earth. In turn, the Earth (and other planets) orbit the Sun. The space directly above our atmosphere is filled with artificial satellites in orbit. One can examine the circular orbit, the simplest kind of orbit, to understand the relationship between the speed and the period of planets and satellites with respect to their positions and the bodies that they orbit.
Nicolaus Copernicus (1473-1543) first suggested that the Earth and all other planets orbit the Sun in...
2.8K
Equations of Motion: Rectangular Coordinates and Cylindrical Coordinates01:21

Equations of Motion: Rectangular Coordinates and Cylindrical Coordinates

924
Understanding the motion of particles is a fundamental aspect of classical mechanics, and the choice of the coordinate system plays a pivotal role in unraveling the complexities of their dynamics.
When a particle moves relative to an inertial frame, the equations of motion can be expressed using rectangular components. If the motion is confined to the x-y plane, the equations having the x and y coordinates only can be used to simplify the mathematical representation.
However, when particles...
924

You might also read

Related Articles

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

Sort by
Same author

From Knowledge to Action: Next Steps for the Natural Science Collections Community.

Bioscience·2026
Same author

Unveiling the Non-Abelian Statistics of D(S_{3}) Anyons Using a Classical Photonic Simulator.

Physical review letters·2024
Same author

The contamination of in situ archaeological remains: A pilot analysis of microplastics in sediment samples using μFTIR.

The Science of the total environment·2024
Same author

The two-qubit singlet/triplet measurement is universal for quantum computing given only maximally-mixed initial states.

Nature communications·2023
Same author

Fusion-based quantum computation.

Nature communications·2023
Same author

Patient-derived xenografts and in vitro model show rationale for imatinib mesylate repurposing in HEY1-NCoA2-driven mesenchymal chondrosarcoma.

Laboratory investigation; a journal of technical methods and pathology·2021
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

Related Experiment Video

Updated: Apr 26, 2026

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

8.9K

Quantum steering ellipsoids.

Sania Jevtic1, Matthew Pusey2, David Jennings3

  • 1Mathematical Sciences, John Crank 501, Brunel University, Uxbridge UB8 3PH, United Kingdom and Controlled Quantum Dynamics Theory, Department of Physics, Imperial College London, London SW7 2AZ, United Kingdom.

Physical Review Letters
|July 26, 2014
PubMed
Summary
This summary is machine-generated.

This study introduces the quantum steering ellipsoid for two-qubit states, revealing new insights into entanglement and separable states. It establishes a geometric condition for separability, aiding quantum information analysis.

More Related Videos

An Experimental Protocol for Assessing the Performance of New Ultrasound Probes Based on CMUT Technology in Application to Brain Imaging
16:01

An Experimental Protocol for Assessing the Performance of New Ultrasound Probes Based on CMUT Technology in Application to Brain Imaging

Published on: September 24, 2017

10.0K
Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions
08:49

Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions

Published on: February 17, 2019

5.8K

Related Experiment Videos

Last Updated: Apr 26, 2026

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

8.9K
An Experimental Protocol for Assessing the Performance of New Ultrasound Probes Based on CMUT Technology in Application to Brain Imaging
16:01

An Experimental Protocol for Assessing the Performance of New Ultrasound Probes Based on CMUT Technology in Application to Brain Imaging

Published on: September 24, 2017

10.0K
Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions
08:49

Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions

Published on: February 17, 2019

5.8K

Area of Science:

  • Quantum Information Science
  • Quantum Foundations
  • Quantum Optics

Background:

  • Quantum steering quantifies non-classical correlations between quantum systems.
  • The geometry of quantum states provides insights into their properties and applications.

Purpose of the Study:

  • To develop an elementary geometric construction of the quantum steering ellipsoid for arbitrary two-qubit states.
  • To analyze entanglement using geometric features of the steering ellipsoid.
  • To establish a geometric criterion for state separability.

Main Methods:

  • Construction of the quantum steering ellipsoid for any two-qubit state.
  • Calculation of the ellipsoid's volume.
  • Analysis of geometric features related to entanglement.
  • Derivation of the 'nested tetrahedron' condition for separability.

Main Results:

  • An elementary construction for the quantum steering ellipsoid is provided.
  • The volume of the ellipsoid is calculated, and its faithful representation is explained.
  • New features, like 'incomplete steering' in separable states, are uncovered.
  • Entanglement is analyzed via three geometric features of the ellipsoid.

Conclusions:

  • The quantum steering ellipsoid offers a powerful geometric tool for analyzing two-qubit states.
  • A state is separable if and only if it satisfies the 'nested tetrahedron' condition.
  • This geometric approach reveals new aspects of quantum correlations and entanglement.