A complete basis of generalized Bell states

Sych D, Leuchs G (2009)


Publication Type: Journal article

Publication year: 2009

Journal

Publisher: Institute of Physics: Open Access Journals / Institute of Physics (IoP) and Deutsche Physikalische Gesellschaft

Book Volume: 11

Pages Range: 013006

DOI: 10.1088/1367-2630/11/1/013006

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. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.

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How to cite

APA:

Sych, D., & Leuchs, G. (2009). A complete basis of generalized Bell states. New Journal of Physics, 11, 013006. https://dx.doi.org/10.1088/1367-2630/11/1/013006

MLA:

Sych, Denis, and Gerd Leuchs. "A complete basis of generalized Bell states." New Journal of Physics 11 (2009): 013006.

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