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Research On Bell Theorem

Author: NiuWanQing
Tutor: XuFuXin
School: Anhui University
Course: Theoretical Physics
Keywords: Bell theorem Inequality Approach Quantum correlations Hardy theorem Qubit Bell inequality Entangled states Hidden variable theory Nonlocality Mixed state
CLC: O413.1
Type: Master's thesis
Year: 2002
Downloads: 106
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Abstract


This paper first reviews the EPR paradox, Bell inequality theorem and its promotion of inequality overview and Bell theorem two related to inequality in the form of: GHZ theorem and Hardy theorem. And then focuses on the study of the nonlocal nature of quantum mechanics entangled state specific. The CHSH inequality examines the nature of the classic correlation of the three-body quantum bits and quantum correlations. Some meaningful conclusions. A. First of all, a more comprehensive overview of the Einstein-Podolsky-Rosen paradox, then Bell Inequality Theorem, and important to promote Bell inequality. Recalling the two most important inequality Bell theorem: Greenbergr-Horne-Zeilinger theorem and the Hardy theorem. Describes the experimental test Bell's theorem results. II. Nonlocality of two-body qubit entangled pure state with two different logical argumentation. Use the Cabello logic method demonstrated delocalization of the two spin-1/2 particle system associated with nature, and effects of the two qubit pure state under different circumstances in different states collapse caused by the effect of quantum correlations between various observables chance . More concise way to prove on the basis of the logical structure of the Haray Theorem given domain hidden variable theories can not reproduce the results of quantum mechanics, the comparison shows that both the logical structure similar and are not involved in inequality method fundamentally different in that: former substance inequality in the form of Bell theorem are statistical proof, while the latter is a non-statistical method. III. We prove more general quantum state quantum theory and given domain hidden variable theory is incompatible obtained with the Hardy theorem physically consistent results, and to disseminate the conclusions of Hardy. From the general quantum state no-cloning theorem this new perspective, state orthogonal conditions delocalized separation of the two particles entangled state nonlocal quantum correlation. IV. detailed method to calculate the Temporal Association chance and constitute the CHSH inequality. For maximally entangled state GHZ state, fails to consider the state of the third particle, the other two particles in a mixed state. The two particle spin states the unconditional correlation function does not violate the CHM inequalities, namely the mixed state of two particles the classic association or separable. But when the third particle spin states h / 2 and. ho divided into two other particles spin a tight corner dH {: fi for two sub-ensemble, each sub-ensemble spin correlation state would undermine the CHSH inequality, so the two particles are inseparable. W state due to the loss of a quantum bit of information when than GBZgh have better robustness, and thus the mixed state of two particles spin unconditional correlation function would undermine the CN inequality, the performance of quantum correlations. Ba f] conclusions 681 conclusion is consistent with the literature [.

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CLC: > Mathematical sciences and chemical > Physics > Theoretical Physics > Quantum theory > Quantum mechanics ( wave mechanics,matrix mechanics )
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