Pramana | |
The incompatibility between local hidden variable theories and the fundamental conservation laws | |
C S Unnikrishnan11  | |
[1] Gravitation Group, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India$$ | |
关键词: Quantum correlation functions; conservation laws; Bell’s inequality; entanglement; quantum entropy; nonlocality.; | |
DOI : | |
学科分类:物理(综合) | |
来源: Indian Academy of Sciences | |
【 摘 要 】
I discuss in detail the result that the Bell's inequalities derived in the context of local hidden variable theories for discrete quantized observables can be satisfied only if a fundamental conservation law is violated on the average. This result shows that such theories are physically nonviable, and makes the demarcating criteria of the Bell's inequalities redundant. I show that a unique correlation function can be derived from the validity of the conservation law alone and this coincides with the quantum mechanical correlation function. Thus, any theory with a different correlation function, like any local hidden variable theory, is incompatible with the fundamental conservation laws and space-time symmetries. The results are discussed in the context of two-particle singlet and triplet states, GHZ states, and two-particle double slit interferometry. Some observations on quantum entropy, entanglement, and nonlocality are also discussed.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912040496919ZK.pdf | 293KB | download |