Entanglement and Bell Inequalities

  title={Entanglement and Bell Inequalities},
  author={Marian Kupczynski},
  journal={Journal of Russian Laser Research},
  • M. Kupczynski
  • Published 25 July 2004
  • Physics
  • Journal of Russian Laser Research
The entangled quantum states play a key role in quantum information. The association of the quantum state vector with each individual physical system in an attributive way is a source of many paradoxes and inconsistencies. The paradoxes are avoided if the purely statistical interpretation of the quantum-state vector is adopted. According to the statistical interpretation, the quantum theory does not provide any deterministic prediction for any individual experimental result obtained for a free… 
Unconditional Quantum Correlations do not Violate Bell’s Inequality
In this paper I demonstrate that the quantum correlations of polarization (or spin) observables used in Bell’s argument against local realism have to be interpreted as conditional quantum
Causality and local determinism versus quantum nonlocality
The entanglement and the violation of Bell and CHSH inequalities in spin polarization correlation experiments (SPCE) is considered to be one of the biggest mysteries of Nature and is called quantum
Is the Moon There If Nobody Looks: Bell Inequalities and Physical Reality
Bell-CHSH inequalities are trivial algebraic properties satisfied by each line of an Nx4 spreadsheet containing ±1 entries, thus it is surprising that their violation in some experiments allows us to
Is Einsteinian no-signalling violated in Bell tests?
Abstract Relativistic invariance is a physical law verified in several domains of physics. The impossibility of faster than light influences is not questioned by quantum theory. In quantum
Can we close the Bohr–Einstein quantum debate?
  • M. Kupczynski
  • Physics
    Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2017
A simple probabilistic model is constructed allowing the existence of strong correlations between outcomes of distant measurements to be explained in a locally causal way and why the introduction of setting-dependent parameters does not restrict experimenters' freedom of choice.
Can Einstein with Bohr Debate on Quantum Mechanics Be Closed
Three experimental groups succeeded recently to close, at the same time, locality and fair sampling loopholes and confirmed that realism understood as counterfactual definiteness may not be used to
Quantum mechanics and modeling of physical reality
Quantum mechanics (QM) has led to spectacular technological developments, including the discovery of new constituents of matter and new materials: however, there is still no consensus regarding its
Closing the Door on Quantum Nonlocality
These simulations of Bell tests provide additional strong arguments for closing the door on quantum nonlocality, since the data samples are generated in a locally causal way.
What do we learn from computer simulations of Bell experiments
Contrary to counterfactual definiteness quantum theory teaches us that measuring instruments are not passively reading predetermined values of physical observables. Counterfactual definiteness allows
Simultaneous measurement of non-commuting observables in entangled systems
In an EPR setup, simultaneous measurement of two non-commuting observables is considered at station A and, possibly after a time delay, at station B. At each station one apparatus measures the


On the Completeness of Quantum Mechanics
Quantum cryptography, quantum computer project, space-time quantization program and recent computer experiments reported by Accardi and his collaborators show the importance and actuality of the
The quantum measurement process: an exactly solvable model
An exactly solvable model for a quantum measurement is discussed which is governed by hamiltonian quantum dynamics. The z‐component ŝz of a spin −12 is measured with an apparatus, which itself
Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
Consideration of the problem of making predictions concerning a system on the basis of measurements made on another system that had previously interacted with it leads to the result that one is led to conclude that the description of reality as given by a wave function is not complete.
On the Einstein-Podolsky-Rosen paradox
THE paradox of Einstein, Podolsky and Rosen [1] was advanced as an argument that quantum mechanics could not be a complete theory but should be supplemented by additional variables. These additional
Experimental violation of a Bell's inequality with efficient detection
Here, correlations in the classical properties of massive entangled particles (9Be+ ions): these correlations violate a form of Bell's inequality, and the high detection efficiency of the apparatus eliminates the so-called ‘detection’ loophole.
Towards a Deeper Understanding of the Einstein–Podolsky–Rosen Problem
Most of the nearly innumerable attempts to provide for a sound understanding of the gedanken experiment of Einstein, Podolsky, and Rosen (EPR) contain additional ideas, notions or features imposed on
A possible explanation for the probabilities of quantum mechanics
It is shown that a lack of knowledge about the measurements of a physical system gives rise to a nonclassical probability calculus for this physical system. It is also shown that the nonclassical
Statistical structure of quantum theory
The course presents some basic concepts and rigorous results of a new scientiflc discipline { quantum information theory. It starts with a thorough reconsideration of the mathematical foundations of
Local realism, contextualism and loopholes in Bell's experiments
It is currently widely accepted, as a result of Bell's theorem and related experiments, that quantum mechanics is inconsistent with local realism and there is the so called quantum non-locality. We
Quantum key distribution using gaussian-modulated coherent states
This work proposes and experimentally demonstrate a quantum key distribution protocol based on the transmission of gaussian-modulated coherent states and shot-noise-limited homodyne detection, which is in principle secure for any value of the line transmission, against gaussian individual attacks based on entanglement and quantum memories.