Denis Sych and Gerd Leuchs 2009 New J. Phys. 11 013006 doi:10.1088/1367-2630/11/1/013006
A complete basis of generalized Bell states
Denis Sych1 and Gerd Leuchs
Show affiliationsA 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.
- PACS
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03.67.Mn Entanglement measures, witnesses, and other characterizations
03.65.Ta Foundations of quantum mechanics; measurement theory
- Subjects
- Dates
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Issue 1 (January 2009)
Received 8 September 2008
Published 7 January 2009
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A complete basis of generalized Bell states
Denis Sych and Gerd Leuchs 2009 New J. Phys. 11 013006
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