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Phys. Rev. A 68, 062105 (2003) [5 pages]

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

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Časlav Brukner1, Myungshik S. Kim2, Jian-Wei Pan1, and Anton Zeilinger1,3
1Institut für Experimentalphysik, Universität Wien, Boltzmanngasse 5, A-1090 Wien, Austria
2School of Mathematics and Physics, Queen’s University, Belfast, BT7 1NN, United Kingdom
3Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, Boltzmanngasse 3, A-1090 Wien, Austria

Received 21 November 2002; published 9 December 2003

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.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.68.062105
DOI:
10.1103/PhysRevA.68.062105
PACS:
03.65.Ud, 03.67.-a, 03.65.-w