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Coherence and entanglement under three-qubit cloning operations

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Abstract

Coherence and entanglement are the two most crucial resources for various quantum information processing tasks. Here, we study the interplay of coherence and entanglement under the action of different three-qubit quantum cloning operations. Considering certain well-known quantum cloning machines (input state independent and dependent), we provide examples of coherent and incoherent operations performed by them. We show that both the output entanglement and coherence could vanish under incoherent cloning operations. Coherent cloning operations, on the other hand, could be used to construct a universal and optimal coherence machine. It is also shown that under coherent cloning operations, the output two-qubit entanglement could be maximal even if the input coherence is negligible. Also it is possible to generate a fixed amount of entanglement independent of the nature of the input state.

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Authors and Affiliations

  1. S. N. Bose National Centre for Basic Sciences, Block JD, Sector-III, Salt Lake, Kolkata, 700106, India

    Suchetana Goswami & A. S. Majumdar

  2. Delhi Technological University, Shahbad Daulatpur, Main Bawana Road, New Delhi, Delhi, 110042, India

    Satyabrata Adhikari

Authors
  1. Suchetana Goswami
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  2. Satyabrata Adhikari
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  3. A. S. Majumdar
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Correspondence to Suchetana Goswami.

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Goswami, S., Adhikari, S. & Majumdar, A.S. Coherence and entanglement under three-qubit cloning operations. Quantum Inf Process 18, 36 (2019). https://doi.org/10.1007/s11128-018-2150-0

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