### Abstract

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. 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. An explicit example of the map and a proposal for its experimental realization are discussed.

Original language | English |
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Pages (from-to) | 062105 |

Number of pages | 1 |

Journal | Physical Review A |

Volume | 68 |

Issue number | 6 |

Publication status | Published - Dec 2003 |

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)

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## Cite this

Kim, M. (2003). Correspondence between continuous-variable and discrete quantum systems of arbitrary dimensions.

*Physical Review A*,*68*(6), 062105.