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arXiv · 2408.09082

The quantum uncertainty relations of quantum channels

Shi-Yun Kong·Ming-Jing Zhao·Zhi-Xi Wang·Shao-Ming Fei
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Abstract

The uncertainty relation reveals the intrinsic difference between the classical world and the quantum world. We investigate the quantum uncertainty relation of quantum channel in qubit systems. Under two general measurement bases, we first derive the quantum uncertainty relation for quantum channels with respect to the relative entropy of coherence. Then we obtain the quantum uncertainty relation for unitary channels with respect to the $l_1$ norm of coherence. Some examples are given in detail.

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Shi-Yun Kong, Ming-Jing Zhao, Zhi-Xi Wang, Shao-Ming Fei. 2024-08-17. The quantum uncertainty relations of quantum channels. https://doi.org/10.1007/s11128-024-04510-x

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