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Following on from previous work [J. A. Larsson, Phys. Rev. A 67, 022108(2003)], Bell inequalities based on correlations between binary digits areconsidered for a particular entangled state involving 2N trapped ions. Theseinequalities involve applying displacement operations to half of the ions andthen measuring correlations between pairs of corresponding bits in the binaryrepresentations of the number of centre-of-mass phonons of N particular ions.It is shown that the state violates the inequalities and thus displaysnonclassical correlations. It is also demonstrated that it violates a Bellinequality when the displacements are replaced by squeezing operations.Comment: 12 pages, 5 figures, accepted for publication in Phys. Rev.

physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics

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Bitwise Bell-inequality violations for an entangled state involving2Nions