A.S. Chirkina,b aLomonosov Moscow State University, Department of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation bInternational Laser Center of M.V. Lomonosov Moscow State University, Vorobevy gory, Moscow, 119992, Russian Federation
Bernstein’s classical paradox of right colored-faced tetrahedron, while designed to illustrate the subtleties of probability theory, is
strongly flawed in being asymmetric: three of the tetrahedron’s faces are single- and one, is multi-colored. Therefore, even prior to
formal calculations, a strong suspicion as to the independence of outcoming statistics arises. Not so with entangled states. In the
schematic solutions proposed, while photon detection channels are completely symmetric and equivalent, the events that occur in them
turn out to be statistically dependent, making the Bernstein paradox even more impressive due to the unusual behavior of quantum
particles not obeying classical laws. As an illustrative example of the probability paradox, Greenberger—Horne—Zeilinger multiqubit
states are considered.
TI Bernstein's paradox of entangled quantum states
AU Belinskii, A. V.
AU Chirkin, A. S.
JA Phys. Usp.
Received: 22nd, April 2013, revised: 13th, June 2013, accepted: 30th, May 2013