Generalized coherent states are unique Bell states of quantum systems with Lie group symmetries

Details Generalized coherent states are unique Bell states of quantum systems with Lie group symmetries Generalized coherent states are unique Bell states of quantum systems with Lie group symmetries

1997-07-09

arxiv.org/abs/quant-ph/9707019v1

Phys.Rev. A57 (1998) 742

Physics

Quantum Physics

4 pages, REVTeX, amssymb style. More information on http://www.technion.ac.il/~brif/science.html

Scientific paper

10.1103/PhysRevA.57.742

We consider quantum systems, whose dynamical symmetry groups are semisimple Lie groups, which can be split or decay into two subsystems of the same symmetry. We prove that the only states of such a system that factorize upon splitting are the generalized coherent states. Since Bell's inequality is never violated by the direct product state, when the system prepared in the generalized coherent state is split, no quantum correlations are created. Therefore, the generalized coherent states are the unique Bell states, i.e., the pure quantum states preserving the fundamental classical property of satisfying Bell's inequality upon splitting.

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