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(21 Mar 2013) Key: citeulike:12193090
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We generalize Greenberger-Horne-Zeilinger (GHZ) theorem to an arbitrary number of D-dimensional systems. Contrary to conventional approaches, we use concurrent observables, which are incompatible but still have a common eigenstate. We begin with the theorem for 4 systems of a dimension divisible by 3, and discuss its extension to N systems of an arbitrary dimension. The GHZ theorem can be proved as long as N is not divisible by all non-unit divisors of D, smaller than N.
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