Bitwise Bell inequality violations for an entangled state involving 2N ions

Details Bitwise Bell inequality violations for an entangled state involving 2N ions Bitwise Bell inequality violations for an entangled state involving 2N ions

2004-03-12

arxiv.org/abs/quant-ph/0403091v1

Phys. Rev. A 69, 052102 (2004)

Physics

Quantum Physics

12 pages, 5 figures, accepted for publication in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.69.052102

Following on from previous work [J. A. Larsson, Phys. Rev. A 67, 022108 (2003)], Bell inequalities based on correlations between binary digits are considered for a particular entangled state involving 2N trapped ions. These inequalities involve applying displacement operations to half of the ions and then measuring correlations between pairs of corresponding bits in the binary representations of the number of centre-of-mass phonons of N particular ions. It is shown that the state violates the inequalities and thus displays nonclassical correlations. It is also demonstrated that it violates a Bell inequality when the displacements are replaced by squeezing operations.

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