Mutually unbiased bases and generalized Bell states

Abstract

We employ a straightforward relation between mutually unbiased and Bell bases to extend the latter in terms of a direct construction for the former. We analyze in detail the properties of these new generalized Bell states, showing that they constitute an appropriate tool for testing entanglement in bipartite multiqudit systems.

6 pages, no figures. Comments welcome

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• Extended Weyl-Heisenberg algebra, phase operator, unitary depolarizers and generalized Bell states
• Mutually Unbiased Unitary Bases of Operators on $d$-dimensional Hilbert Space
• Multiplexing scheme for simplified entanglement-based large-alphabet quantum key distribution
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