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Catalysis of entanglement transformation for 2 × 2-dimensional mixed states

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Abstract

At first, the ability of pure states as an entanglement catalysts for transformation between 2 × 2-dimensional mixed states is discussed. Necessary and sufficient conditions for the transformation between 2 × 2-dimensional rank 2 mixed states by entanglement-assisted LOCC operations (ELOCC) are then presented. In addition, the method to construct an entanglement catalyst for transformation between 2 × 2-dimensional rank 2 mixed states is illustrated by an example.

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Authors and Affiliations

  1. School of Mathematics, Physics and Information Science, Zhejiang Ocean University, 316000, Zhoushan, China

    De-chao Li

  2. College of Automation, Northwestern Polytechnical University, 710072, Xi’an, China

    De-chao Li & Zhong-ke Shi

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  1. De-chao Li
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  2. Zhong-ke Shi
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Correspondence to De-chao Li.

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Li, Dc., Shi, Zk. Catalysis of entanglement transformation for 2 × 2-dimensional mixed states. Quantum Inf Process 10, 697–704 (2011). https://doi.org/10.1007/s11128-011-0229-y

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  • DOI: https://doi.org/10.1007/s11128-011-0229-y

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