Measurement‐Based Hyperentanglement Distillation for Lossy and Distortion Photon State

Abstract

AbstractThe information content of a photon system can be extended by hyperentanglement, but the quality of hyperentanglement will be decreased by the complicated transmission loss and channel noise in quantum information processing. Here, an efficient measurement‐based hyperentanglement distillation protocol (MB‐HDP) is presented for depressing the effects of complicated transmission loss and channel noise on hyperentanglement. In the MB‐HDP, the nonlocal lossy and distortion photon states are coupled to local hyperentangled Greenberger–Horne–Zeilinger (GHZ) states using parity measurement and qubit amplification device, and the decoherence caused by bit‐flip (phase‐flip) error, diverse transmission coefficients and transmission loss can be depressed by the successful measurement results, which can increase the quality of nonlocal hyperentangled photon state. This MB‐HDP broadens the application scope of hyperentanglement distillation to nonlocal lossy and distortion photon state with a lower degree of entanglement. In addition, the MB‐HDP can further improve the quality of nonlocal hyperentangled photon state by coupling multiple copies of lossy and distortion hyperentangled photon state with local hyperentangled GHZ states. This work demonstrates the ability of measurement‐based method for ensuring the quality of nonlocal hyperentanglement, which can improve the integrity and capacity of long‐distance quantum information processing.