In physics, the CHSH inequality can be used in the proof of Bell's theorem, which states that certain consequences of entanglement in quantum mechanics can not 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 , 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 there exist underlying local hidden variables, an assumption that is sometimes termed local realism. It is in fact the case that the ine
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| - CHSH inequality (en)
- Desigualdade de CHSH (pt)
- Clauser–Horne–Shimony–Holt-olikheten (sv)
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| - A desigualdade CHSH, em homenagem a John Clauser, , , e , fornece uma estrutura experimental para apoiar o teorema de Bell, que afirma que as teorias de variáveis ocultas locais não podem explicar todos os fenômenos da mecânica quântica, particularmente emaranhamento. A desigualdade é deduzida sob a suposição de que existem variáveis locais ocultas e prescreve uma restrição aos valores esperados de um experimento de teste de Bell. A violação experimental da desigualdade de CHSH é, portanto, tomada como evidência de que não existem variáveis ocultas locais. (pt)
- In physics, the CHSH inequality can be used in the proof of Bell's theorem, which states that certain consequences of entanglement in quantum mechanics can not 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 , 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 there exist underlying local hidden variables, an assumption that is sometimes termed local realism. It is in fact the case that the ine (en)
- Clauser–Horne–Shimony–Holt-olikheten (CHSH-olikheten) är en olikhet inom kvantmekaniken som kan användas för att testa om dolda variabel-teorier kan reproducera experimentella mätvärden. Olikheten är en typ av och kan användas för att bevisa Bells teorem. Den är uppkallad efter fysikerna John Clauser, , och , som formulerade olikheten 1969. (sv)
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| - In physics, the CHSH inequality can be used in the proof of Bell's theorem, which states that certain consequences of entanglement in quantum mechanics can not 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 , 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 there exist underlying local hidden variables, an assumption that is sometimes termed local realism. It is in fact the case that the inequality is routinely violated by modern experiments in quantum mechanics. (en)
- A desigualdade CHSH, em homenagem a John Clauser, , , e , fornece uma estrutura experimental para apoiar o teorema de Bell, que afirma que as teorias de variáveis ocultas locais não podem explicar todos os fenômenos da mecânica quântica, particularmente emaranhamento. A desigualdade é deduzida sob a suposição de que existem variáveis locais ocultas e prescreve uma restrição aos valores esperados de um experimento de teste de Bell. A violação experimental da desigualdade de CHSH é, portanto, tomada como evidência de que não existem variáveis ocultas locais. (pt)
- Clauser–Horne–Shimony–Holt-olikheten (CHSH-olikheten) är en olikhet inom kvantmekaniken som kan användas för att testa om dolda variabel-teorier kan reproducera experimentella mätvärden. Olikheten är en typ av och kan användas för att bevisa Bells teorem. Den är uppkallad efter fysikerna John Clauser, , och , som formulerade olikheten 1969. CHSH-olikheten ger ett villkor för korrelationerna mellan experimentellt mätbara storheter, observabler, under antagandet att mätresultaten kan förklaras av en lokal gömd variabel-teori. Genom att experimentellt påvisa att de mätbara korrelationerna kan bryta mot CHSH-olikheten kan alla typer av lokala gömda variabel-teorier förkastas. Experiment sedan 1980-talets början har genom CHSH-olikheten visat att gömda variabler-teorier, till skillnad från kvantmekaniken, inte kan förklara experimentella data. (sv)
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| - Let be a quantum strategy for the CHSH game where such that . Then there exist isometries and where are isomorphic to such that letting we have
where denotes the EPR pair and denotes some pure state, and (en)
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