Abstract
We present a scheme for multipartite entanglement purification of quantum systems in a Greenberger-Horne-Zeilinger state with quantum nondemolition detectors (QNDs). This scheme does not require the controlled-not gates which cannot be implemented perfectly with linear optical elements at present, but QNDs based on cross-Kerr nonlinearities. It works with two steps, i.e., the bit-flipping error correction and the phase-flipping error correction. These two steps can be iterated perfectly with parity checks and simple single-photon measurements. This scheme does not require the parties to possess sophisticated single photon detectors. These features maybe make this scheme more efficient and feasible than others in practical applications.
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Sheng, Y., Deng, F., Zhao, B. et al. Multipartite entanglement purification with quantum nondemolition detectors. Eur. Phys. J. D 55, 235–242 (2009). https://doi.org/10.1140/epjd/e2009-00237-y
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DOI: https://doi.org/10.1140/epjd/e2009-00237-y