What in fact proves the violation of the Bell-type inequalities?

• URL: http://arxiv.org/abs/2303.08821v2
• Date: Thu, 30 Mar 2023 20:23:16 GMT
• Title: What in fact proves the violation of the Bell-type inequalities?
• Authors: Sofia Wechsler
• Abstract summary: In a measurement in which some variables are tested, other variables, not tested, have no defined value. It is proved that the correct conclusion of the violation of the CHSH inequality is different.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: A. Peres constructed an example of particles entangled in the state of spin singlet. He claimed to have obtained the CHSH inequality and concluded that the violation of this inequality shows that in a measurement in which some variables are tested, other variables, not tested, have no defined value. In the present paper is proved that the correct conclusion of the violation of the CHSH inequality is different. It is proved that the classical calculus of probabilities of test results, obeying the Kolmogorov axioms, is unfit for the quantum formalism, dominated by probability amplitudes.

Related papers

• Time series and the meaning of quantum non-locality [55.2480439325792]
  The derivation of Bell's inequalities gives precise meaning to the idea of quantum non-locality. It also makes evident why using it for faster than light signaling is impossible. It is demonstrated that series of outcomes, even if they violate Bell's inequalities, can be always embedded in a set of factual and counter-factual data.
  arXiv  Detail & Related papers  (2024-10-21T14:49:47Z)
• An inconsistency in the CHSH inequality [0.0]
  Violation of the CHSH inequality supposedly demonstrates an irreconcilable conflict between quantum mechanics and local, realistic hidden variable theories. We show that the mathematical assumptions underlying the proof of the CHSH inequality are, in fact, incompatible with the physics of the experiments testing such inequality.
  arXiv  Detail & Related papers  (2024-09-02T14:12:26Z)
• Testing trajectory-based determinism via time probability distributions [44.99833362998488]
  Bohmian mechanics (BM) has inherited more predictive power than quantum mechanics (QM) We introduce a prescription for constructing a flight-time probability distribution within generic trajectory-equipped theories. We derive probability distributions that are unreachable by QM.
  arXiv  Detail & Related papers  (2024-04-15T11:36:38Z)
• Some consequences of Sica's approach to Bell's inequalities [55.2480439325792]
  Louis Sica derived Bell's inequalities from the hypothesis that the time series of outcomes observed in one station does not change if the setting in the other station is changed. In this paper, Sica's approach is extended to series with non ideal efficiency and to the actual time structure of experimental data.
  arXiv  Detail & Related papers  (2024-03-05T13:59:52Z)
• A formalization of the CHSH inequality and Tsirelson's upper-bound in Isabelle/HOL [2.817412580574242]
  We present a formalization of several fundamental notions and results from Quantum Information theory. The proof of the latter result is based on the so-called CHSH inequality, and it is the violation of this inequality that was experimentally evidenced by Aspect. We also formalize various results related to the violation of the CHSH inequality, such as Tsirelson's bound which permits to obtain the maximum violation of this inequality in a quantum setting.
  arXiv  Detail & Related papers  (2023-06-21T19:49:42Z)
• Bell-type inequalities for systems of relativistic vector bosons [0.0]
  We analyze the possible violation of various Bell-type inequalities for systems of boson-antiboson pairs. The degree of violation depends on the relative speed of the two particles.
  arXiv  Detail & Related papers  (2022-04-23T12:42:04Z)
• The Bell inequality, inviolable by data used consistently with its derivation, leads to quantum correlations that satisfy it, and probabilities that satisfy the Wigner inequality [0.0]
  The inequality that Bell derived using three random variables must be identically satisfied by any three corresponding data sets of plus and minus 1s. For laboratory data, the inequality is identically satisfied as a fact of pure algebra. If predicted correlations violate the inequality, they represent no three cross correlated data sets that experimentally exist or can be generated from valid probability models.
  arXiv  Detail & Related papers  (2021-02-25T23:30:11Z)
• Wigner and Bell Inequalities relationships and Kolmogorov's Axioms [0.0]
  We show that Bell's inequality violation of arise from the fact that the condition imposed upon the development of inequality is not respected when it is applied in the idealized experiment. We also show that only such violation is possible if Wigner's inequality, in a certain arrangement, is violated, and that both violations are related to the violation of one of Kolmogorov's axioms.
  arXiv  Detail & Related papers  (2020-06-15T01:01:08Z)
• On the complex behaviour of the density in composite quantum systems [62.997667081978825]
  We study how the probability of presence of a particle is distributed between the two parts of a composite fermionic system. We prove that it is a non-perturbative property and we find out a large/small coupling constant duality. Inspired by the proof of KAM theorem, we are able to deal with this problem by introducing a cut-off in energies that eliminates these small denominators.
  arXiv  Detail & Related papers  (2020-04-14T21:41:15Z)
• Using Randomness to decide among Locality, Realism and Ergodicity [91.3755431537592]
  An experiment is proposed to find out, or at least to get an indication about, which one is false. The results of such experiment would be important not only to the foundations of Quantum Mechanics.
  arXiv  Detail & Related papers  (2020-01-06T19:26:32Z)
• Bell's theorem for trajectories [62.997667081978825]
  A trajectory is not an outcome of a quantum measurement, in the sense that there is no observable associated with it. We show how to overcome this problem by considering a special case of our generic inequality that can be experimentally tested point-by-point in time.
  arXiv  Detail & Related papers  (2020-01-03T01:40:44Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.