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Structure of the probability distribution for the GHZ quantum state under local von Neumann measurements |
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PP: 87-96 |
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Author(s) |
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Claude Gravel,
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Abstract |
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| We show that the probability distribution of the Greenberger-Horne-Zeilinger quantum state (GHZ) under local action of
independent von Neumann measurements follows a convex distribution of two distributions. The coefficients of the combination are
related to the equatorial parts of the measurements, and the distributions associated with those coefficients are associated with the real
parts of the measurements. One possible application of the result is that it allows one to split into two pieces the simulation of the GHZ
state. Simulating, in worst-case or in average case, a quantum state like the GHZ state with random resources, shared or private, as
well as with classical communication resources or even odd resources like nonlocal boxes is a very important in the theory of quantum
communication complexity. |
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