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The European Physical Journal D

Controlled teleportation of a multi-photon GHZ polarization-entangled state using linear optical elements

Yan Xia, Jie Song, Pei-Min Lu, H. S. Song

Published Oct 1, 2010• 11 citations
Publisher
DOI
10.1140/epjd/e2010-00255-8

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With one pair of photons' polarization-entangled state as the quantum channel, we present an explicit generalized linear optical protocol for perfectly teleporting an N-photon Greenberger-Horne-Zeilinger (GHZ) polarization-entangled state from a sender to a receiver using only one two-photon polarization-entangled state as the quantum channel. This protocol has the advantage of transmitting much fewer photons and classical information for teleporting the N-photon GHZ polarization-entangled state than others, and the proposed setup involves simple linear optical elements, photon polarization-entangled states, and conventional photon detectors. These make the present protocol more realizable in experiments.
We describe an entanglement purification protocol for a polarization Bell state. Different from the previous protocols, it does not require the controlled-not gate, and only uses linear optical elements to complete the task. This protocol requires multi-copy degraded mixed states, which can make this protocol obtain a high fidelity in one purification step. It can also be extended to purify the multi-photon Greenberger–Horne–Zeilinger (GHZ) state. This protocol may be useful in future long-distance communication.