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Journal of the Optical Society of America B

Teleportation of an N-photon Greenberger-Horne-Zeilinger (GHZ) polarization-entangled state using linear optical elements

Yan Xia, Jie Song, Pei-Min Lu, He‐Shan Song

Published Dec 24, 2009• 67 citations
Publisher

Abstract

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.

DOI
10.1364/josab.27.0000a1

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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 propose a new linear optical protocol for remote state preparation (RSP) between two parties under control of a number of controllers in terms of optical elements. The proposed setup involves simple linear optical elements, a N-photon polarization entangled state, and photon de tectors, witch have been widely used in experiment. The realization of this protocol is appealing due to the fact that quantum state of light is robust against the decoherence and photons are ideal carriers for transmitting quantum information over long distances.
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We present two economical one-step error-correction protocols for multipartite polarization-entangled systems in a Greenberger-Horne-Zeilinger state. One uses spatial entanglement to correct errors in the polarization entanglement of an NNN-photon system, resorting to linear optical elements. The other uses frequency entanglement to correct errors in the polarization entanglement of an NNN-photon system. The parties in quantum communication can obtain a maximally entangled state from each NNN-photon system transmitted with one step in these two protocols, and both of their success probabilities are 100100%100, in principle. That is, they both work in a deterministic way, and they do not largely consume the less-entangled photon systems, which is far different from conventional multipartite entanglement purification schemes. These features may make these two protocols more useful for practical applications in long-distance quantum communication.
In this paper we propose a scheme for creating a three photons Greenberger-Horne-Zeilinger-type (GHZ) state using only linear optics elements and single-photon detectors. We furthermore generalize the scheme for producing any GHZ-like state of n photons. The input state of the scheme consists of a nonentangled state of n photons. Experimental aspects regarding the implementation of the scheme are presented. Finally, the role of such schemes in quantum information processing with photons is discussed.