Correspondence between continuous variable and discrete quantum systems of arbitrary dimensions

Details Correspondence between continuous variable and discrete quantum systems of arbitrary dimensions Correspondence between continuous variable and discrete quantum systems of arbitrary dimensions

2002-08-16

arxiv.org/abs/quant-ph/0208116v2

Phys. Rev. A. 68, 062105 (2003)

Physics

Quantum Physics

4 pages, 1 figure, revised version, an example added

Scientific paper

10.1103/PhysRevA.68.062105

We establish a mapping between a continuous variable (CV) quantum system and a discrete quantum system of arbitrary dimension. This opens up the general possibility to perform any quantum information task with a CV system as if it were a discrete system of arbitrary dimension. The Einstein-Podolsky-Rosen state is mapped onto the maximally entangled state in any finite dimensional Hilbert space and thus can be considered as a universal resource of entanglement. As an explicit example of the formalism a two-mode CV entangled state is mapped onto a two-qutrit entangled state.

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