Related papers: A note on uncertainty relations of arbitrary N quantum channels

A note on uncertainty relations of arbitrary N quantum channels

URL: http://arxiv.org/abs/2109.01345v1
Date: Fri, 3 Sep 2021 07:05:13 GMT
Title: A note on uncertainty relations of arbitrary N quantum channels
Authors: Qing-Hua Zhang, Jing-Feng Wu and Shao-Ming Fei
Abstract summary: Wigner-Yanase skew information characterizes the uncertainty of an observable with respect to the measured state. We generalize the uncertainty relations for two quantum channels to arbitrary N quantum channels based on Wigner-Yanase skew information.
Score: 9.571723611319348
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Uncertainty principle plays a vital role in quantum physics. The Wigner-Yanase skew information characterizes the uncertainty of an observable with respect to the measured state. We generalize the uncertainty relations for two quantum channels to arbitrary N quantum channels based on Wigner-Yanase skew information. We illustrate that these uncertainty inequalities are tighter than the existing ones by detailed examples. Especially, we also discuss the uncertainty relations for N unitary channels, which could be regarded as variance-based sum uncertainty relations with respect to any pure state.

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