69 research outputs found
Contextual approach to quantum mechanics and the theory of the fundamental prespace
We constructed a Hilbert space representation of a contextual Kolmogorov
model. This representation is based on two fundamental observables -- in the
standard quantum model these are position and momentum observables. This
representation has all distinguishing features of the quantum model. Thus in
spite all ``No-Go'' theorems (e.g., von Neumann, Kochen and Specker,..., Bell)
we found the realist basis for quantum mechanics. Our representation is not
standard model with hidden variables. In particular, this is not a reduction of
quantum model to the classical one. Moreover, we see that such a reduction is
even in principle impossible. This impossibility is not a consequence of a
mathematical theorem but it follows from the physical structure of the model.
By our model quantum states are very rough images of domains in the space of
fundamental parameters - PRESPACE. Those domains represent complexes of
physical conditions. By our model both classical and quantum physics describe
REDUCTION of PRESPACE-INFORMATION. Quantum mechanics is not complete. In
particular, there are prespace contexts which can be represented only by a so
called hyperbolic quantum model. We predict violations of the Heisenberg's
uncertainty principle and existence of dispersion free states.Comment: Plenary talk at Conference "Quantum Theory: Reconsideration of
Foundations-2", Vaxjo, 1-6 June, 200
A Fair Sampling Test for Ekert Protocol
We propose a local scheme to enhance the security of quantum key distribution
in Ekert protocol (E91). Our proposal is a fair sampling test meant to detect
an eavesdropping attempt that would use a biased sample to mimic an apparent
violation of Bell inequalities. The test is local and non disruptive: it can be
unilaterally performed at any time by either Alice or Bob during the production
of the key, and together with the Bell inequality test.Comment: 4 pages, 3 figures, submitted to Phys. Rev. Lett
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