Research On Bell Inequality Based On Bell State And Graph States

Different interpretations of correlation collapse have caused a conflict between quantum theory and the local realism of classical mechanics.Under this conflict,research on nonlocality has emerged.Bell nonlocality is a kind of nonlocality research,and it has important applications in quantum information and other aspects.People generally use Bell inequality and Bell's theorem without inequality to study it.We will make use of the contradiction between the two theories and adopt the research method of Cabello theorem,which is the Bell's theorem without inequality.On this basis,we will study the Bell inequality of Bell state and graph states.On the basis of the existing Cabello theorem,we extended it.Aiming at the contradictory structure of the two theories,we obtained a larger violation value than the original theorem.At the same time,we gave the corresponding Bell inequality and experimental scheme.In order to study the non-locality of the graph states,we use the contradictory composition of Cabello theorem to verify the LC unequal four-particle to six-particle graph states.It also gives the corresponding Bell inequality form when the diagram satisfies the Cabello theorem,the corresponding particle number distribution and the maximum possible violation.For graph states that cannot be verified by the theorem for non-locality,starting from their existing inequalities,use different connection methods to study their composite graph states.We give out the violation value of Bell's inequality under different connection modes of the composite star graph states.At the same time,this method is used to extend the connection of star graph states to the case of general line graph states.On the violation value of Bell's inequality of line graph states,we have obtained a greater violation value than other articles on constructing line graph states Bell's inequality.