اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدFrieden wave function representations via an EPR-Bohm experiment
139
0
0.0
(
0
)
تأليف
Jacek Syska
اسأل ChatGPT حول البحث
ﻻ يوجد ملخص باللغة العربية
The appearance of the spin-1/2 and spin-1 representations in the Frieden-Soffer extreme physical information (EPI) statistical approach to the Einstein-Podolsky-Rosen-Bohm (EPR-Bohm) experiment is shown. In order to obtain the EPR-Bohm result, in addition to the observed structural and variational information principles of the EPI method, the condition of the regularity of the probability distribution is used. The observed structural information principle is obtained from the analyticity of the logarithm of the likelihood function. It is suggested that, due to the self-consistent analysis of both information principles, quantum mechanics is covered by the statistical information theory. The estimation of the angle between the analyzers in the EPR-Bohm experiment is discussed.
قيم البحث
اقرأ أيضاً
We show that paradoxical consequences of violations of Bells inequality are induced by the use of an unsuitable probabilistic description for the EPR-Bohm-Bell experiment. The conventional description (due to Bell) is based on a combination of statis
tical data collected for different settings of polarization beam splitters (PBSs). In fact, such data consists of some conditional probabilities which only partially define a probability space. Ignoring this conditioning leads to apparent contradictions in the classical probabilistic model (due to Kolmogorov). We show how to make a completely consistent probabilistic model by taking into account the probabilities of selecting the settings of the PBSs. Our model matches both the experimental data and is consistent with classical probability theory.
A single photon incident on a beam splitter produces an entangled field state, and in principle could be used to violate a Bell-inequality, but such an experiment (without post-selection) is beyond the reach of current experiments. Here we consider t
he somewhat simpler task of demonstrating EPR-steering with a single photon (also without post-selection). That is, of demonstrating that Alices choice of measurement on her half of a single photon can affect the other half of the photon in Bobs lab, in a sense rigorously defined by us and Doherty [Phys. Rev. Lett. 98, 140402 (2007)]. Previous work by Lvovsky and co-workers [Phys. Rev. Lett. 92, 047903 (2004)] has addressed this phenomenon (which they called remote preparation) experimentally using homodyne measurements on a single photon. Here we show that, unfortunately, their experimental parameters do not meet the bounds necessary for a rigorous demonstration of EPR-steering with a single photon. However, we also show that modest improvements in the experimental parameters, and the addition of photon counting to the arsenal of Alices measurements, would be sufficient to allow such a demonstration.
We use discrete-event simulation to construct a subquantum model that can reproduce the quantum-theoretical prediction for the statistics of data produced by the Einstein-Podolsky-Rosen-Bohm experiment and an extension thereof. This model satisfies E
insteins criterion of locality and generates data in an event-by-event and cause-and-effect manner. We show that quantum theory can describe the statistics of the simulation data for a certain range of model parameters only.
We show that the projection postulate plays a crucial role in the discussion on the so called quantum nonlocality, in particular in the EPR-argument. We stress that the original von Neumann projection postulate was crucially modified by extending it
to observables with degenerate spectra (the Luders postulate) and we show that this modification is highly questionable from a physical point of view, and it is the real source of quantum nonlocality. The use of the original von Neumann postulate eliminates this problem: instead of action at the distance-nonlocality, we obtain a classical measurement nonlocality. It seems that EPR did mistake in their 1935-paper: if one uses correctly von Neumann projection postulate, no ``elements of reality can be assigned to entangled systems. Our analysis of the EPR and projection postulate makes clearer Bohrs considerations in his reply to Einstein.
The physical meaning of the EPR--chameleon experiment proposed in AcRe00b,AcRe01a, in which the EPR correlations are reproduced by local, independent, deterministic choices is re-examined. In addition we extend the mathematical model of AcRe00b,AcRe0
1a by showing that the dynamics considered there is effectively the reduced dynamics of a fully reversible evolution. We also propose a new protocol, more directly corresponding to real experiments, in which the local computers only send back to the central one the results of the evaluation of $pm1$--valued functions. The program to run the experiment is available from the WEB-page: http://volterra.mat.uniroma2.it.
سجل دخول لتتمكن من نشر تعليقات
التعليقات
جاري جلب التعليقات
سجل دخول لتتمكن من متابعة معايير البحث التي قمت باختيارها
