Bell's inequality together with the Aspect experiment shows that that we cannot have local realism. But does quantum theory obey locality? and if not how can locality be violated but not special relativity? Can you (if possible) also provide a source with your answer

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see http://physics.stackexchange.com/q/186479/ – giulio bullsaver Jun 11 '15 at 20:54
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see http://physics.stackexchange.com/q/170416/ – innisfree Jun 11 '15 at 21:18
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3i think the distinction between quantum non-locality (entanglement) and Einsteinian non-locality (super-luminal propagation of information) in the question above answer your question – innisfree Jun 11 '15 at 21:19
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Possible duplicate of The choice of measurement basis on one half of an entangled state affects the other half. Can this be used to communicate faster than light? – knzhou Dec 14 '18 at 13:22
1 Answers
Answer to your question
The term "quantum non-locality" refers to the fact that quantum mechanics cannot be described by a local classical hidden variable model. This is the content of Bell's theorem.
In particular, locality is not violated. The statement of the theorem is that if we assume (wrongly) that quantum mechanics is described by a classical hidden variable model, then locality is violated. This doesn't tell us that quantum mechanics violate locality, this tells us that quantum mechanics cannot be described by a local classical model.
An opinionated remark regarding terminology
"Non-locality" is really misleading (although common) terminology. A less confusing term for this might be simply "bell-inequality-violation". A term that describes a broader class of these no-go theorems is "non-classicality", which is also much less misleading.

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