Efficient hyperconcentration of nonlocal multipartite entanglement via the cross-Kerr nonlinearity

Abstract

We propose two schemes for concentration of hyperentanglement of nonlocal multipartite states which are simultaneously entangled in the polarization and spatial modes. One scheme uses an auxiliary singlephoton state prepared according to the parameters of the less-entangled states. The other scheme uses two less-entangled states with unknown parameters to distill the maximal hyperentanglement. The procrustean concentration is realized by two parity check measurements in both the two degrees of freedom. Nondestructive quantum nondemolition detectors based on cross-Kerr nonlinearity are used to implement the parity check, which makes the unsuccessful instances reusable in the next concentration round. The success probabilities in both schemes can be made to approach unity by iteration. Moreover, in both schemes only one of the N parties has to perform the parity check measurements. Our schemes are efficient and useful for quantum information processing involving hyperentanglement.

13 pages, 6 figures

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• Entanglement concentration of microwave photons based on Kerr effect in circuit QED
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• Entanglement concentration and purification of two-mode squeezed microwave photons in circuit QED
• Entanglement purification of nonlocal quantum-dot-confined electrons assisted by double-sided optical microcavities
• Systematic entanglement concentration for unknown less-entangled three-photon W states
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• Multiple multi-control unitary operations: implementation and applications