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Perfect quantum information processing with Dicke-class state

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Abstract

We investigate the possibility of implementing perfect quantum information processing with Dicke-class state. It is shown that the symmetric Dicke state |DN (m)〉 only has the maximal bipartite entanglement of one ebit when N = 2m and generally it is not maximally entangled for all bipartitions. By adjusting the suitable weights and relative phases in the Dicke state |DN (m)〉, we present a class of asymmetric Dicke states \(|\overline D_N^{(m)}\rangle\) which have the maximal bipartite entanglement of q (1 ≤ q ≤ m) ebits. We also obtain the sufficient and necessary condition that the Dicke-class states \(|\overline D_{N}^{(m)}\rangle\) have the maximal bipartite entanglement. We illustrate our idea using the four-qubit Dicke state with two excitations. It is shown that our proposed Dicke-class states have distinct advantages over the symmetric Dicke state in perfect quantum information processing.

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Authors and Affiliations

  1. Department of Physics, Hunan University of Science and Technology, Xiangtan, 411201, P.R. China

    Z. H. Peng & X. J. Liu

  2. Department of Physics, Beijing Institute of Technology, Beijing, 100081, P.R. China

    J. Zou

Authors
  1. Z. H. Peng
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  2. J. Zou
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  3. X. J. Liu
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Correspondence to Z. H. Peng.

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Peng, Z., Zou, J. & Liu, X. Perfect quantum information processing with Dicke-class state. Eur. Phys. J. D 58, 403–407 (2010). https://doi.org/10.1140/epjd/e2010-00106-8

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  • DOI: https://doi.org/10.1140/epjd/e2010-00106-8

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