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We propose a scheme for the complete differentiation of 64 three-photonhyperentangled GHZ states in both polarization and spatial-mode degrees offreedoms using the quantum-dot cavity system. The three-photonhyperentangled-GHZ-state-analysis scheme can also be used to generate 3-photonhyperentangled GHZ states. This proposed hyperentangled analysis and generationdevice can serve as crucial components of the high-capacity, long-distancequantum communication. We use quantum swapping as an example to show theapplication of this device in quantum communication with polarization andspatial-mode degrees of freedoms. Using numerical calculations, we show thatthe present scheme may be feasible in strong-coupling regimes with currenttechnologies.

Complete analysis and generation of hyperentangled Greenberger-Horne-Zeilinger state for photons using quantum-dot spins in optical microcavities