Methodological notes

Bernstein’s paradox of entangled quantum states

 a, b,  a, b
a Lomonosov Moscow State University, Department of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation
b International 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.

Fulltext is available at IOP
PACS: 03.65.Ud, 42.65.Lm (all)
DOI: 10.3367/UFNe.0183.201311e.1231
Citation: Belinskii A V, Chirkin A S "Bernstein's paradox of entangled quantum states" Phys. Usp. 56 1126–1131 (2013)
BibTexBibNote ® (generic)BibNote ® (RIS) MedlineRefWorks
PT Journal Article
TI Bernstein's paradox of entangled quantum states
AU Belinskii A V
FAU Belinskii AV
AU Chirkin A S
FAU Chirkin AS
DP 10 Nov, 2013
TA Phys. Usp.
VI 56
IP 11
PG 1126-1131
RX 10.3367/UFNe.0183.201311e.1231
SO Phys. Usp. 2013 Nov 10;56(11):1126-1131

Received: 22nd, April 2013, revised: 13th, June 2013, 30th, May 2013

Оригинал: Белинский А В, Чиркин А С «Парадокс Бернштейна с запутанными квантовыми состояниями» УФН 183 1231–1236 (2013); DOI: 10.3367/UFNr.0183.201311e.1231

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