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Journal Article

A complete basis of generalized Bell states

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Sych,  Denis
Optics Theory Group, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

/persons/resource/persons201115

Leuchs,  Gerd
Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Sych, D., & Leuchs, G. (2009). A complete basis of generalized Bell states. NEW JOURNAL OF PHYSICS, 11: 013006. doi:10.1088/1367-2630/11/1/013006.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-6C19-F
Abstract
A generalization of the Bell states and Pauli matrices to dimensions which are powers of 2 is considered. A basis of maximally entangled multidimensional bipartite states (MEMBS) is chosen very similar to the standard Bell states and constructed of only symmetric and antisymmetric states. This special basis of MEMBS preserves all basic properties of the standard Bell states. We present a recursive and non-recursive method for the construction of MEMBS and discuss their properties. The antisymmetric MEMBS possess the property of rotationally invariant exclusive correlations which is a generalization of the rotational invariance of the antisymmetric singlet Bell state.