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

Hardy-Weinberg Principle

Hardy-Weinberg Principle

Diploid organisms have two alleles of each gene, one from each parent, in their somatic cells. Therefore, each individual contributes two alleles to the gene pool of the population. The gene pool of a population is the sum of every allele of all genes within that population and has some degree of variation. Genetic variation is typically expressed as a relative frequency, which is the percentage of the total population that has a given allele, genotype or phenotype.

Wald-Wolfowitz Runs Test II

Wald-Wolfowitz Runs Test II

The Wald-Wolfowitz runs test, commonly referred to as the runs test, is a nonparametric test used to assess the randomness of ordered data. The test evaluates the number of runs, which are consecutive sequences of similar elements within the data. If the number of runs is significantly higher or lower than expected, the data is considered non-random, indicating a detectable pattern or structure.
For binary data, runs are identified using symbols such as + and −, or equivalently, 1s and...

Hooke's Law

Hooke's Law

Hooke's law, a pivotal principle in material science, establishes that the strain a material undergoes is directly proportional to the applied stress, defined by a factor called the modulus of elasticity or Young's modulus.

Generalized Hooke's Law

Generalized Hooke's Law

The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...

Indeterminate Products

Indeterminate Products

Indeterminate forms also arise in the evaluation of limits involving products, particularly when one factor approaches zero while the other tends to positive or negative infinity. This situation, commonly described as a zero-times-infinity form, does not have an immediately interpretable outcome. Depending on how the factors behave relative to one another, the limit of such a product may be zero, infinite, or a finite nonzero value.Product Limits and Algebraic RewritingTo analyze limits of this...

Indeterminate Forms and L’Hôpital’s Rule

Indeterminate Forms and L’Hôpital’s Rule

Indeterminate forms occur when evaluating limits leads to expressions that cannot be directly interpreted, such as zero divided by zero or infinity divided by infinity. These results do not describe the true behavior of a function near a given point and instead signal that additional analysis is required. L’Hôpital’s Rule provides a reliable method for resolving such ambiguities by replacing the original functions with their derivatives.Core Idea of L’Hôpital’s...

You might also read

Related Articles

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

Sort by

Same author

Proper and Improper Mixed States Serve as Different Prior Beliefs for Quantum State Retrodiction.

Physical review letters·2026

Same author

Unprecedented social-ecological impacts of the 2023 extreme drought in the central Amazon.

Scientific reports·2025

Same author

First Evidence of Microplastic Ingestion by an Arboreal Primate.

EcoHealth·2025

Same author

Minimal Example of Quantum Nonclassicality without Freedom of Choice.

Physical review letters·2025

Same author

Quantum Bayes' Rule and Petz Transpose Map from the Minimum Change Principle.

Physical review letters·2025

Same author

The quantum maxima for the basic graphs of exclusivity are not reachable in Bell scenarios.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2024

Search research articles

Related Experiment Video

Updated: May 1, 2026

Blast Quantification Using Hopkinson Pressure Bars

Blast Quantification Using Hopkinson Pressure Bars

Published on: July 5, 2016

Device-Independent bounds for Hardy's experiment.

Rafael Rabelo¹, Law Yun Zhi, Valerio Scarani

¹Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, Singapore.

Physical Review Letters

|December 11, 2012

Summary

This study calculates the maximum quantum violation of locality in Hardy's test, finding it achievable with two-qubit systems. Higher-dimensional systems offer no advantage for this quantum nonlocality test.

More Related Videos

Quantitative Hardness Measurement by Instrumented AFM-indentation

Quantitative Hardness Measurement by Instrumented AFM-indentation

Published on: November 22, 2016

High-Speed Magnetic Tweezers for Nanomechanical Measurements on Force-Sensitive Elements

High-Speed Magnetic Tweezers for Nanomechanical Measurements on Force-Sensitive Elements

Published on: May 12, 2023

Related Experiment Videos

Last Updated: May 1, 2026

Blast Quantification Using Hopkinson Pressure Bars

Blast Quantification Using Hopkinson Pressure Bars

Published on: July 5, 2016

Quantitative Hardness Measurement by Instrumented AFM-indentation

Quantitative Hardness Measurement by Instrumented AFM-indentation

Published on: November 22, 2016

High-Speed Magnetic Tweezers for Nanomechanical Measurements on Force-Sensitive Elements

High-Speed Magnetic Tweezers for Nanomechanical Measurements on Force-Sensitive Elements

Published on: May 12, 2023

Area of Science:

Quantum Information Theory
Foundations of Quantum Mechanics

Background:

Hardy's test is a key protocol for demonstrating quantum nonlocality.
Tsirelson's bound quantifies the maximum violation of Bell inequalities achievable in quantum mechanics.
Understanding the limits of nonlocality is crucial for quantum information processing.

Purpose of the Study:

To compute an analogue of Tsirelson's bound for Hardy's test, applicable across all system dimensions.
To identify the quantum states capable of achieving this maximal violation.
To investigate the role of system dimension in experimental implementations of Hardy's test.

Main Methods:

Analytical computation of a nonlocality bound analogous to Tsirelson's bound for Hardy's test.
Characterization of quantum states that saturate the derived bound.
Analysis of device-independent upper bounds under realistic constraints.

Main Results:

The maximum violation of locality in Hardy's test is dimension-independent and matches the value for two-qubit systems.
Only a specific class of quantum states achieves this maximal violation, enabling device-independent self-testing.
Realistic constraints do not alter the advantage of two-qubit systems; higher dimensions offer no benefit.

Conclusions:

Hardy's test, even with realistic constraints, is optimally implemented using two-qubit systems.
The findings highlight the efficiency of two-qubit systems for device-independent self-testing of specific quantum states.
This research provides fundamental insights into the limits of quantum nonlocality and its experimental realization.