Bell Correlations
How Entangelment makes the imposssible possible
This box starts with the following text:
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Quantum entanglement can link the quantum states of particles even when they are seperated by long distances
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That may be true, but the article does not explain what it means nor how this is done.
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Consider an impossible square -
For example if I ask for the second row and the third colomn and Rowan says 001 (odd answer) then Colin just has to select an (even) answer with 1 as the middle entry either 011 or 110
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Suppose Colin selects 011
The following picture shows all the 16 "impossible squares" with the answers row two is 001 and column three is
011.
000 000 000 000 010 010 010 010 100 100 100 100 110 110 110 110
001 001 001 001 001 001 001 001 001 001 001 001 001 001 001 001
001 011 101 111 001 011 101 111 001 011 101 111 001 011 101 111
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
X X x X X X X X
Picture 1
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Investigating the 16 possiblities reveals that in the cases marked with an X one row or one column is wrong. In the cases 0, 5 10 and 15 one row is even. In the cases 4, 7, 8 and 11 one column is odd. In each of these cases when you randomly select a row and a column in 3 out of 9 you do it wrong.
In all the other 8 cases either 2 rows and 1 column (1,2,13 and 14) or 1 row and 2 colums ( 3,6,9,and 12) are wrong. In each of these cases when you randomly select a row and a column in 7 out of 9 you make a wrong selection.
This means when Rowan and Colin start with a bag which contains all "impossible squares" and randomly select one, in 80 out of 144 cases their answer is wrong and in 60 out of 144 cases their answer is correct.
The following picture shows based on the four possible correct answers for Rowan and as a function of which row and column I have selected, what the correct answers for Colin are
Rowan Colin
001 000 011
010 000 011
100 101 110
111 101 110
row 1 column 1
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Rowan Colin
001 000 101
010 000 101
100 011 110
111 011 110
row 2 Column 1
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Rowan Colin
001 101 110
010 000 011
100 000 011
111 101 110
row 1 Column 3
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Rowan Colin
001 011 110
010 000 101
100 000 101
111 011 110
row 2 Column 3
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Picture 2
What Picture 2 shows it that based which answer Rowan has selected, Colin has 50% chance of giving the correct answer.
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So you agree to the trial as suggested; you ask questions to Rowan in one room and an assistant to Colin in the other room. To your consternation, Colin and Rowan give consistent answers every time. etc
They are using pairs of 'entangled' quantum particles - each pair was jointly prepared in the same way, and then one kept by Rowan an one by Colin. etc
By the 'magic' of quantum entanglement their results are correlated precisely so as to simulate an impossible square.
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The biggest problem of the article is that no details are shown how the actual experiment is performed.
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