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1.
《Physics letters. A》1988,133(3):101-104
We consider two models which can violate Bell's inequality. In a local model violation of Bell's inequality is a proof that the probability scheme must contain a nondistributive sublattice. In a distributive scheme violation is a proof that the model is nonlocal, making possible a particular kind of signalling between its parts.  相似文献   

2.
In 1985, Edward Nelson, who formulated the theory of stochastic mechanics, made an interesting remark about Bell's theorem. Nelson analysed the latter in the light of classical fields that behave randomly. He found that if a stochastic hidden variable theory fulfils certain conditions, the inequality of Bell can be violated. Moreover, Nelson was able to prove that this may happen without any instantaneous communication between the two spatially separated measurement stations. Since Nelson's article got almost overlooked by physicists, we try to review his comments on the theorem. We argue that a modification of stochastic mechanics published recently by Fritsche and Haugk can be extended to a theory which fulfils the requirements of Nelson's analysis. The article proceeds to derive the quantum mechanical formalism of spinning particles and the Pauli equation from this version of stochastic mechanics. Then, we investigate Bohm's version of the EPR experiment. Additionally, other setups, like entanglement swapping or time and position correlations, are shortly explained from the viewpoint of our local hidden‐variable model. Finally, we mention that this theory could perhaps be relativistically extended and useful for the formulation of quantum mechanics in curved space‐times.  相似文献   

3.
《Physics letters. A》1986,118(2):47-53
Bell-type inequalities involve coincidence counting rates and are tested in coincidence experiments. Time is ontologically intertwined with the definition of coincidence. An example is proposed in which Bell's inequality is violated by a local model, simply because the interaction between a photon and a photomultiplier is not instantaneous, but requires a finite elapse of time. Models are only illustrative examples and there is no reason why they should reflect reality. We only claim that maybe Bell-type inequalities are not as general as they are supposed to be in ruling out local hidden variable theories.  相似文献   

4.
《Physics letters. A》1997,236(3):173-176
It is shown that Bell's proof of the violation of local realism in phase space is incorrect. Bell's experiment is based upon position measurements of free particles. A violation can be derived even for a nonnegative Wigner distribution, which in this case acts as a local classical model.  相似文献   

5.
《Physics letters. A》2002,303(1):1-6
In this Letter, we have replaced Bell's locality condition by a more general condition which is a special form of non-locality. We use this condition to obtain the Bell inequality and extend our formulation to prove the GHZ theorem.  相似文献   

6.
《Physics letters. A》1987,121(5):205-207
Bertrand's paradox from the theory of probability is recalled and its relevance to the impossibility of proving Bell's inequalities for realistic spin polarization experiments is pointed out.  相似文献   

7.
Schulz claims to have constructed an actively local stochastic theory which violates Bell's inequality. This is false.  相似文献   

8.
We discuss the possibility of devising cosmological observables which violate Bell's inequalities. Such observables could be used to argue that cosmic scale features were produced by quantum mechanical effects in the very early universe. As a proof of principle, we propose a somewhat elaborate inflationary model where a Bell inequality violating observable can be constructed.  相似文献   

9.
10.
《Physics letters. A》2005,334(1):23-29
We have experimentally tested the non-local properties of the two-photon states generated by a high brilliance source of entanglement which virtually allows the direct measurement of the full set of photon pairs created by the basic QED process implied by the parametric quantum scattering. Standard Bell measurements and Bell's inequality violation test have been realized over the entire cone of emission of the degenerate pairs. By the same source we have verified Hardy's ladder theory up to the 20th step and the contradiction between the standard quantum theory and the local realism has been tested for 41% of entangled pairs.  相似文献   

11.
We consider the loophole due to detector inefficiency in Cabello's argument on Bell's theorem without inequalities for the three-qubit system. It is shown that detectors with low efficiencies can be employed in physical tests. In addition, the mixed states due to the white noise are also considered.  相似文献   

12.
We present a brief historical introduction to the topic of Bell's theorem. Next we present the surprising features of the three-particle Greenberger—Horne—Zeilinger (GHZ) states. Finally we shall present a method of analysis of the GHZ correlations, which is based on a numerical approach, which is effectively equivalent to the full set of Bell inequalities for correlation functions for the given problem. The aim of our numerical approach is to answer the following question: Do additional possible local settings lead for the GHZ states to more pronounced violation of local realism (measured by the resistance of the quantum nature of the correlations with respect to “white” noise admixtures)?  相似文献   

13.
《Physics letters. A》2001,288(2):59-61
Based on a simple argument of relativistic covariance, I argue that the correlation between the polarization states of entangled photons, as predicted by quantum mechanics, is Lorentz invariant. Therefore, Bell's inequality for polarization states cannot be affected by the motion of detectors.  相似文献   

14.
A new proof of the impossibility of reconciling realism and locality in quantum mechanics is given. Unlike proofs based on Bell's inequality, the present work makes minimal and transparent use of probability theory and proceeds by demonstrating a Kochen-Specker type of paradox based on the value assignments to the spin components of two spatially separated spin-1 systems in the singlet state of their total spin. An essential part of the argument is to distinguish carefully two commonly confused types of contextuality; we call them ontological and environmental contextuality. These in turn are associated with two quite distinct senses of nonlocality. We indicate the relevance of our treatment to other related discussions in recent literature on the philosophy of quantum mechanics.  相似文献   

15.
At present, the sources of entangled photons have a low rate of photon generation. This limitation is a key component of quantum informatics for the realization of such functions as linear quantum computation and quantum teleportation. In this paper, we propose a method for high intensity generation of entangled photons in a two‐mode electromagnetic field. On the basis of exact solutions of the Schrödinger equation, when electrons interact in an atom with a strong two‐mode electromagnetic field, it is shown that there may be large quantum entanglement between photons. The quantum entanglement is analyzed on the basis of the Schmidt parameter. It is shown that the Schmidt parameter can reach very high values depending on the choice of characteristics of the two‐mode fields. We find the Wigner function for the considered case. Violation of Bell's inequalities for continuous variables is demonstrated.  相似文献   

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18.
《Physica A》1995,215(4):577-587
During the last years large interest was shown in p-adic quantum models (especially, in string theory). As usual, new physical models generate new mathematical methods. In our case a new type of stochastics, p-adic stochastics, was arisen inside p-adic quantum physics. We apply this stochastics to propose a justification of the Einstein-Podolsky-Rosen theory of hidden variables, which was in large contradiction with the Bell type inequality. Our main result is the following: if we consider a p-adic probability distribution of hidden variables, then there are no problems with Bell's inequality.  相似文献   

19.
We formulate a model of EPR experiments by including variables determining whether a photon will be detected or not. The resulting deterministic model satisfies Bell's original inequality even though it can agree exactly with the quantum mechanical predictions for the performed experiments. It violates variations of the inequality used in the interpretation of the experiments and deduced with the help of additional assumptions.  相似文献   

20.
《Physics letters. A》2001,286(4):241-244
According to recent reports, the last loopholes in testing Bell's inequality are closed. It is argued that the really important task in this field has not been tackled yet and that the leading experiments claiming to close locality and detection efficiency loopholes, although making very significant progress, have conceptual drawbacks. The important task is constructing quantum devices which will allow winning games of certain correlated replies against any classical team. A novel game of this type is proposed.  相似文献   

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