Enhanced quantum channel uncertainty relations by skew information

• URL: http://arxiv.org/abs/2310.06065v1
• Date: Mon, 9 Oct 2023 18:14:20 GMT
• Title: Enhanced quantum channel uncertainty relations by skew information
• Authors: Xiaoli Hu, Naihong Hu, Bing Yu, Naihuan Jing
• Abstract summary: Skew information-based uncertainty sequences are developed for any two quantum channels. A reinforced version of the Cauchy-Schwarz inequality is adopted to improve the uncertainty relation. A sampling technique of observables' coordinates is used to offset randomness in the inequality.
• Score: 6.725873222183076
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: By revisiting the mathematical foundation of the uncertainty relation, skew information-based uncertainty sequences are developed for any two quantum channels. A reinforced version of the Cauchy-Schwarz inequality is adopted to improve the uncertainty relation, and a sampling technique of observables' coordinates is used to offset randomness in the inequality. It is shown that the lower bounds of the uncertainty relations are tighter than some previous studies.

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