Entanglement swapping between multi-qudit systems

Abstract

We generalize the entanglement swapping scheme originally proposed for two pairs of qubits to an arbitrary number $q$ of systems composed from an arbitrary number $m_j$ of qudits. Each of the system is supposed to be prepared in a maximally entangled state of $m_j$ qudits, while different systems are not correlated at all. We show that when a set ${\sum }_{j=1}^q{a}_j$ particles (from each of the $q$ systems $a_j$ particles are measured) are subjected to a generalized Bell-type measurement, the resulting set of ${\sum }_{j=1}^q(m_j-a_j)$ particles will collapse into a maximally entangled state.

7 revtex pages, 4 figures

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