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Quantumness of channels

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Abstract

The reliability of quantum channels for transmitting information is of profound importance from the perspective of quantum information. This naturally leads to the question as how well a quantum state is preserved when subjected to a quantum channel. We propose a measure of quantumness of channels based on non-commutativity of quantum states that is intuitive and easy to compute. We apply the proposed measure to some well-known noise channels, both Markovian and non-Markovian, and find that the results are in good agreement with those from a recently introduced \(l_1\)-norm coherence based measure.

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Article Open access 05 August 2022

Roman Rietsche, Christian Dremel, … Jan-Marco Leimeister

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Authors and Affiliations

  1. Indian Institute of Technology Jodhpur, Jodhpur, 342011, India

    Javid Naikoo & Subhashish Banerjee

  2. Poornaprajna Institute of Scientific Research, Bangalore, 562164, India

    R. Srikanth

Authors
  1. Javid Naikoo
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  2. Subhashish Banerjee
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  3. R. Srikanth
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Correspondence to Javid Naikoo.

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Naikoo, J., Banerjee, S. & Srikanth, R. Quantumness of channels. Quantum Inf Process 20, 32 (2021). https://doi.org/10.1007/s11128-020-02958-1

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