Everything about CHSH inequality
Testable implication of local hidden-variable theories
In physics, the Clauser–Horne–Shimony–Holt (CHSH) inequality can be used in the proof of Bell's theorem, which states that certain consequences of entanglement in quantum mechanics cannot be reproduced by local hidden-variable theories. Experimental verification of the inequality being violated is seen as confirmation that nature cannot be described by such theories. CHSH stands for John Clauser, Michael Horne, Abner Shimony, and Richard Holt, who described it in a much-cited paper published in 1969. They derived the CHSH inequality, which, as with John Stewart Bell's original inequality, is a constraint—on the statistical occurrence of "coincidences" in a Bell test—which is necessarily true if an underlying local hidden-variable theory exists. In practice, the inequality is routinely violated by modern experiments in quantum mechanics. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: CHSH inequalityA 5-minute orientation
- Skim a recent paper: Entanglement and maximal violation of the CHSH inequality in a system of two spins j: A novel construction and further observationsInfluential work since 2022
- Pick up a classic book: Tō Sō hakkabunThe most-reprinted book on the subject
- Read the landmark paper: A relevant two qubit Bell inequality inequivalent to the CHSH inequalityCited 313 times
- Go sideways: Bell's theoremA closely related topic
- Go sideways: Entanglement distillationA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
A relevant two qubit Bell inequality inequivalent to the CHSH inequality
Quantum correlations in the temporal Clauser–Horne–Shimony–Holt (CHSH) scenario
Device-independent quantum key distribution with asymmetric CHSH inequalities
CHSH Inequality: Quantum Probabilities as Classical Conditional Probabilities
Device-independent quantum key distribution from generalized CHSH inequalities
On Selective Influences, Marginal Selectivity, and Bell/CHSH Inequalities
Quantum Probabilities and Violation of CHSH-Inequality from Classical Random Signals and Threshold Type Detection Scheme
Test of the no‐signaling principle in the Hensen loophole‐free CHSH experiment
🆕 Influential since 2022
Entanglement and maximal violation of the CHSH inequality in a system of two spins j: A novel construction and further observations
Testing Bell–CHSH inequalities using topological Aharonov–Casher and He–McKellar–Wilkens phases
The relationship between the degree of violation of Bell-CHSH inequality and measurement uncertainty in two classes of spin squeezing mechanisms
Unruh-De Witt detectors, Bell-CHSH inequality and Tomita-Takesaki theory
CHSH Bell tests for optical hybrid entanglement
📚 Books worth reading
Tō Sō hakkabunTê-ch'ien Shên · 1914
Theory of Quantum Computation, Communication, and CryptographyKazuo Iwama · 2013- 📕Pinyin Ch/sh Initial Patterns in Mandarin Chinese CharactersStephen M. Kraemer · 2019
Aspects of gravitation in astrophysicsFabrizio Tamburini · 2002
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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