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

Correlations02:20

Correlations

36.7K
Correlation means that there is a relationship between two or more variables (such as ice cream consumption and crime), but this relationship does not necessarily imply cause and effect. When two variables are correlated, it simply means that as one variable changes, so does the other. We can measure correlation by calculating a statistic known as a correlation coefficient. A correlation coefficient is a number from -1 to +1 that indicates the strength and direction of the relationship between...
36.7K
Correlation01:09

Correlation

15.4K
In statistics, two variables are said to be correlated if the values of one variable are associated with the other variable. Depending on the relationship between two variables, correlation can be of three types– positive correlation, negative correlation, and zero correlation.
Two variables, for example, a and b, are said to be positively correlated if both variables move in the same direction. In other words, a positive correlation exists between two variables, a and b, if:
15.4K
Second Uniqueness Theorem01:16

Second Uniqueness Theorem

2.7K
Consider a region consisting of several individual conductors with a definite charge density in the region between these conductors. The second uniqueness theorem states that if the total charge on each conductor and the charge density in the in-between region are known, then the electric field can be uniquely determined.
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the surface...
2.7K
¹H NMR Signal Multiplicity: Splitting Patterns01:13

¹H NMR Signal Multiplicity: Splitting Patterns

6.9K
When protons A and X are coupled, their nuclear spin energy levels are slightly modified. This is because the energy required to excite proton A to a spin state parallel to proton X is slightly different from the energy required for it to become anti-parallel to spin X. Consequently, there are two possible excitation frequencies for A (A1 and A2), depending on the spin state of X, and vice versa. The mutual nature of coupling implies that the difference between frequencies A1 and A2, indicated...
6.9K
Correlation of Experimental Data01:23

Correlation of Experimental Data

499
Dimensional analysis simplifies complex physical problems and guides experimental investigations, but it does not provide complete solutions. It identifies the dimensionless groups that influence a phenomenon, but experimental data is needed to establish the specific relationships and validate theoretical predictions.
For example, a spherical particle moving through a viscous fluid experiences drag. Dimensional analysis shows that the drag force depends on the particle's diameter, velocity,...
499
Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

4.2K
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...
4.2K

You might also read

Related Articles

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

Sort by
Same author

Limitations of the Impagliazzo-Nisan-Wigderson Pseudorandom Generator Against Permutation Branching Programs.

Algorithmica·2024
See all related articles

Related Experiment Video

Updated: Feb 22, 2026

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

9.0K

Universal Bell Correlations Do Not Exist.

Cole A Graham1, William M Hoza2

  • 1Department of Mathematics, Stanford University, Stanford, California 94305, USA.

Physical Review Letters
|September 27, 2017
PubMed
Summary
This summary is machine-generated.

No finite nonlocal box can perfectly replicate correlations from entangled qubits. Such boxes simulating qubit measurements require infinite entanglement, though approximate simulations are possible with finite entanglement.

More Related Videos

How to Calculate and Validate Inter-brain Synchronization in a fNIRS Hyperscanning Study
05:33

How to Calculate and Validate Inter-brain Synchronization in a fNIRS Hyperscanning Study

Published on: September 8, 2021

7.5K
Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
04:35

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach

Published on: July 3, 2020

3.8K

Related Experiment Videos

Last Updated: Feb 22, 2026

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

9.0K
How to Calculate and Validate Inter-brain Synchronization in a fNIRS Hyperscanning Study
05:33

How to Calculate and Validate Inter-brain Synchronization in a fNIRS Hyperscanning Study

Published on: September 8, 2021

7.5K
Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
04:35

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach

Published on: July 3, 2020

3.8K

Area of Science:

  • Quantum information theory
  • Quantum computing
  • Nonlocality

Background:

  • Quantum entanglement enables correlations stronger than classical physics allows.
  • Nonlocal boxes are theoretical devices exhibiting correlations without shared randomness.
  • Understanding the limits of simulating quantum correlations is crucial for quantum technologies.

Purpose of the Study:

  • To determine if finite-alphabet nonlocal boxes can perfectly simulate correlations from maximally entangled qubit pairs.
  • To establish the entanglement requirements for nonlocal boxes simulating local quantum measurements.
  • To provide a quantitative analysis of approximate simulation capabilities.

Main Methods:

  • Information-theoretic proofs
  • Analysis of nonlocal box capabilities
  • Entanglement cost analysis

Main Results:

  • Proved that no finite-alphabet nonlocal box can exactly generate correlations from maximally entangled qubit pairs.
  • Demonstrated that nonlocal boxes simulating local projective measurements of entangled qubits require infinite entanglement.
  • Developed a quantitative theorem for approximate simulations and presented a related positive result.

Conclusions:

  • Finite nonlocal boxes have fundamental limitations in simulating quantum entanglement.
  • Simulating quantum measurements with nonlocal boxes implies a potentially unbounded entanglement cost.
  • The study clarifies the relationship between nonlocal correlations and entanglement requirements.