Darmstadt 2008 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 36: Quanteninformation (Konzepte und Methoden II)

Q 36.3: Talk

Thursday, March 13, 2008, 11:30–11:45, 1B

The structure and properties of symmetric and antisymmetric maximally entangled multidimensional bipartite states — •Denis Sych — Institute of Optics, Information and Photonics, University of Erlangen-Nuremberg, Germany

A multidimensional generalization of the Bell states and the Pauli matrices is considered. It is shown that in the case when the dimension of the Hilbert space is equal to a power of 2, a basis of multidimensional maximally entangled bipartite states can be chosen similarly to the Bell states and constructed of only symmetric and antisymmetric states. It preserves all basic properties of the standard Bell states. An iterative method for its construction is presented and its properties are discussed. Antisymmetric states turn out to be analogous to the singlet Bell state, namely they deliver perfect anticorrelations while being rotationally invariant. The latter property is shown to be tightly connected with antisymmetry. The generalized Bell states are used to show the upper bounds of possible correlations between two quantum systems and to prove the ``no-copying'' principle, which is a stronger version of the ``no-cloning'' principle.