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Entanglement of Formation for Qubit-Qudit System Using Partition of Qudit System into a Set of Qubit System

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Abstract

Gerjuoy (Phys. Rev. A 67:052308, 2003) has derived a closed-form lower bound for the entanglement of formation of a mixed qubit-qudit system (qudit system has d levels with d≥3). In this paper, inspired by Gerjuoy’s method, we propose a scheme that partitions a qubit-qudit system into d(d−1)/2 qubit-qubit systems, which can be treated by all known methods pertinent to qubit-qubit system. The method is demonstrated by a qubit-qudit system (the levels of qudit are d=3 and d=5, respectively).

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Acknowledgements

This work is supported by the Special Funds for Theoretical Physics of the National Natural Science Foundation of China (Grant No. 11147161). The partial support by the CNPq and INCT-IQ (WBC) are also acknowledged.

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Authors and Affiliations

  1. Faculty of Science, Xi’an University of Architecture and Technology, Xi’an, 710055, China

    Wen-Chao Qiang

  2. Instituto de Física, Universidade Federal de Goiás, 74.001-970, Goiânia, GO, Brazil

    W. B. Cardoso

Authors
  1. Wen-Chao Qiang
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  2. W. B. Cardoso
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Correspondence to Wen-Chao Qiang.

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Qiang, WC., Cardoso, W.B. Entanglement of Formation for Qubit-Qudit System Using Partition of Qudit System into a Set of Qubit System. Int J Theor Phys 53, 2024–2032 (2014). https://doi.org/10.1007/s10773-014-2008-x

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  • DOI: https://doi.org/10.1007/s10773-014-2008-x

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