File:Used for geometric description of the Bell state.png

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English: The Bell state is a quantum state |\Psi> = a|00> + b|01> + c|10> + d|11>, where a = d = 1/sqrt(2) and b = c = 0. Therefore it can be fully described by the plane spanned by the basis vectors |00> and |11>, as in the picture.

The unit sphere (in C^4) intersects the plane in a circle. The state |\Psi> lies on the unit spheres surface.

a = d = 1/sqrt(2), meaning that |a|^2 = |b|^2 = 1/2. There is equal probability of measuring this state to |00> or |11>, and zero probability of measuring it to |01> or |10>.
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Source Inkscape and Gimp
Author Omnissiahs hierophant

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10 September 2020

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Date/TimeThumbnailDimensionsUserComment
current21:09, 2 November 2020Thumbnail for version as of 21:09, 2 November 2020783 × 693 (49 KB)Omnissiahs hierophantReverted to version as of 12:02, 10 September 2020 (UTC)
21:09, 10 September 2020Thumbnail for version as of 21:09, 10 September 2020774 × 693 (49 KB)Omnissiahs hierophanta and d was changed to |a| and |d|
12:02, 10 September 2020Thumbnail for version as of 12:02, 10 September 2020783 × 693 (49 KB)Omnissiahs hierophant{{subst:Upload marker added by en.wp UW}} {{Information |Description = {{en|The Bell state is a quantum state |\Psi> = a|00> + b|01> + c|10> + d|11>, where a = d = 1/sqrt(2) and b = c = 0. Therefore it can be fully described by the plane spanned by the basis vectors |00> and |11>, as in the picture. The unit sphere (in C^4) intersects the plane in a circle. The state |\Psi> lies on the unit spheres surface. a = d = 1/sqrt(2), meaning that |a|^2 = |b|^2 = 1/2. There is equal probability of m...
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