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Coherence-breaking superchannels

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Abstract

Coherence is an important resource in quantum information processing; preserving coherence is a major challenge in practical scenarios. In this work, we develop the theories of the coherence-breaking channel and coherence-breaking superchannel, respectively. We define a new kind of coherence-breaking channel which is called strong coherence-breaking channel. The coherence-breaking superchannel is also introduced as a generalization of the coherence-breaking channel in the dynamical resource theory of coherence. Several equivalent characterizations of coherence-breaking superchannel are given. As a demonstration, we also study the coherence-breaking superchannel which maps a qubit channel to the other qubit channel and give the form of such superchannel. Finally, the coherence-breaking indices of superchannel are studied.

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Acknowledgements

Y. Luo was supported by Research Funds for the Central Universities under Grants No. GK202003070 and the National Natural Science Foundation of China (Grant No. 62001274). Y. Li was supported by the National Natural Science Foundation of China (Grant No. 12071271). Z. Xi was supported by the National Natural Science Foundation of China (Grants No. 62171266).

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Authors and Affiliations

  1. College of Computer Science, Shaanxi Normal University, Xi’an, 710062, China

    Yu Luo & Zhengjun Xi

  2. School of Mathematics and Statistics, Shaanxi Normal University, Xi’an, 710062, China

    Yongming Li

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  1. Yu Luo
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  2. Yongming Li
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  3. Zhengjun Xi
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Correspondence to Yu Luo.

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Luo, Y., Li, Y. & Xi, Z. Coherence-breaking superchannels. Quantum Inf Process 21, 176 (2022). https://doi.org/10.1007/s11128-022-03511-y

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