Product and sum uncertainty relations based on metric-adjusted skew information

• URL: http://arxiv.org/abs/2204.00332v1
• Date: Fri, 1 Apr 2022 10:16:27 GMT
• Title: Product and sum uncertainty relations based on metric-adjusted skew information
• Authors: Xiaoyu Ma, Qing-Hua Zhang and Shao-Ming Fei
• Abstract summary: We study uncertainty relations in product and summation forms of metric-adjusted skew information. We present lower bounds on product and summation uncertainty inequalities based on metric-adjusted skew information.
• Score: 3.6933317368929197
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The metric-adjusted skew information establishes a connection between the geometrical formulation of quantum statistics and the measures of quantum information. We study uncertainty relations in product and summation forms of metric-adjusted skew information. We present lower bounds on product and summation uncertainty inequalities based on metric-adjusted skew information via operator representation of observables. Explicit examples are provided to back our claims.

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